Klaus Dolag’s research while affiliated with Ludwig-Maximilians-Universität in Munich and other places

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Publications (145)


Hydrodynamic methods and sub-resolution models for cosmological simulations
  • Preprint

February 2025

Milena Valentini

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Klaus Dolag

Cosmological simulations are powerful tools in the context of structure formation. They allow us to explore the assembly and clustering of dark matter halos, to validate or reject possible scenarios of structure formation, and to investigate the physical properties of evolving galaxies across time. Cosmological hydrodynamical simulations are especially key to study how the complex interstellar medium of forming galaxies responds to the most energetic processes during galaxy evolution, such as stellar feedback ensuing supernova explosions and feedback from AGN. Given the huge dynamical range of physical scales spanned by the astrophysical processes involved in cosmic structure formation and evolution, cosmological simulations resort to sub-resolution models to capture processes occurring below their resolution limit. The impact of different sub-grid prescriptions accounting for the same process is striking, though often overlooked. Some among the main aforementioned processes include: hot gas cooling, star formation and stellar feedback, stellar evolution and chemical enrichment, black hole growth and feedback. Producing simulations of cosmic structure formation and galaxy evolution in large computational volumes is key to shed light on what drives the formation of the first structures in the Universe, and their subsequent evolution. Not only are predictions from simulations crucial to compare with data from ongoing observational instruments, but they can also guide future observational campaigns. Besides, since we have entered the era of high-performance computing, it is fundamental to have numerical codes which are very efficient from the computational point of view. In this chapter, we review the main hydrodynamic methods used in cosmological simulations and the most common techniques adopted to include the astrophysical processes which drive galaxy formation and evolution (abridged).


Cosmological Inference with Cosmic Voids and Neural Network Emulators

February 2025

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4 Reads

Kai Lehman

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Nico Schuster

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Luisa Lucie-Smith

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[...]

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Klaus Dolag

Cosmic Voids are a promising probe of cosmology for spectroscopic galaxy surveys due to their unique response to cosmological parameters. Their combination with other probes promises to break parameter degeneracies. Due to simplifying assumptions, analytical models for void statistics are only representative of a subset of the full void population. We present a set of neural-based emulators for void summary statistics of watershed voids, which retain more information about the full void population than simplified analytical models. We build emulators for the void size function and void density profiles traced by the halo number density using the Quijote suite of simulations for a broad range of the ΛCDM\Lambda\mathrm{CDM} parameter space. The emulators replace the computation of these statistics from computationally expensive cosmological simulations. We demonstrate the cosmological constraining power of voids using our emulators, which offer orders-of-magnitude acceleration in parameter estimation, capture more cosmological information compared to analytic models, and produce more realistic posteriors compared to Fisher forecasts. We find that the parameters Ωm\Omega_m and σ8\sigma_8 in this Quijote setup can be recovered to 14.4%14.4\% and 8.4%8.4\% accuracy respectively using void density profiles; including the additional information in the void size function improves the accuracy on σ8\sigma_8 to 6.8%6.8\%. We demonstrate the robustness of our approach to two important variables in the underlying simulations, the resolution, and the inclusion of baryons. We find that our pipeline is robust to variations in resolution, and we show that the posteriors derived from the emulated void statistics are unaffected by the inclusion of baryons with the Magneticum hydrodynamic simulations. This opens up the possibility of a baryon-independent probe of the large-scale structure.


Field-level simulation-based inference with galaxy catalogs: the impact of systematic effects
  • Article
  • Full-text available

January 2025

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27 Reads

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1 Citation

It has been recently shown that a powerful way to constrain cosmological parameters from galaxy redshift surveys is to train graph neural networks to perform field-level likelihood-free inference without imposing cuts on scale. In particular, de Santi et al. [58] developed models that could accurately infer the value of Ωm from catalogs that only contain the positions and radial velocities of galaxies that are robust to different astrophysics and subgrid models. However, observations are affected by many effects, including (1) masking, (2) uncertainties in peculiar velocities and radial distances, and (3) different galaxy population selections. Moreover, observations only allow us to measure redshift, which entangles the galaxy radial positions and velocities. In this paper we train and test our models on galaxy catalogs, created from thousands of state-of-the-art hydrodynamic simulations run with different codes from the CAMELS project, that incorporate these observational effects. We find that while such effects degrade the precision and accuracy of the models, the fraction of galaxy catalogs for which the models retain high performance and robustness is over 90%, demonstrating the potential for applying them to real data.

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How the cool-core population transitions from galaxy groups to massive clusters. A comparison of the largest Magneticum simulation with eROSITA, XMM-Newton, Chandra and LOFAR observations

January 2025

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1 Read

Astronomy and Astrophysics

Aims. Our aim is to understand how the interplay between black hole (BH) feedback and merge processes can effectively turn cool-core galaxy clusters into hot-core clusters in the modern universe. Additionally, we also aim to clarify which parameters of the BH feedback model used in simulations can cause an excess of feedback at the scale of galaxy groups while not efficiently suppressing star formation at the scale of galaxy clusters. Methods. To obtain robust statistics of the cool-core population, we compare the modern Universe snapshot ( z = 0.25) of the largest Magneticum simulation ( Box2b/hr ) with the eROSITA eFEDS survey and Planck SZ-selected clusters observed with XMM-Newton. Additionally, we compare the BH feedback injected by the simulation in radio mode with Chandra observations of X-ray cavities, and LOFAR observations of radio emission. Results. We confirm a decreasing trend in cool-core fractions towards the most massive galaxy clusters, which is well reproduced by the Magneticum simulations. This evolution is connected with an increased merge activity that injects high-energy particles into the core region, but it also requires thermalisation and conductivity to enhance mixing through the intra-cluster medium core, where both factors are increasingly efficient towards the high mass end. On the other hand, BH feedback remains as the dominant factor at the scale of galaxy groups, while its relative impact decreases towards the most massive clusters. Conclusions. The problems suppressing star formation in simulations are not caused by low BH feedback efficiencies. They root in the definition of the black hole sphere of influence used to distribute the feedback, which decreases as density and accretion rate increase. Actually, a decreasing BH feedback efficiency towards low-mass galaxy groups is required to prevent overheating. These problems can be addressed in simulations by using relations between accretion rate, cavity power, and cavity reach derived from X-ray observations.


Blowing Out the Candle: How to Quench Galaxies at High Redshift—An Ensemble of Rapid Starbursts, AGN Feedback, and Environment

January 2025

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4 Reads

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4 Citations

The Astrophysical Journal

Recent observations with JWST and the Atacama Large Millimeter/submillimeter Array have revealed extremely massive quiescent galaxies at redshifts of z = 3 and higher, indicating both rapid onset and quenching of star formation. Using the cosmological simulation suite Magneticum Pathfinder, we reproduce the observed number densities and stellar masses, with 36 quenched galaxies of stellar mass larger than 3 × 10 ¹⁰ M ⊙ at z = 3.42. We find that these galaxies are quenched through a rapid burst of star formation and subsequent active galactic nucleus (AGN) feedback caused by a particularly isotropic collapse of surrounding gas, occurring on timescales of around 200 Myr or shorter. The resulting quenched galaxies host stellar components that are kinematically fast rotating and alpha-enhanced, while exhibiting a steeper metallicity and flatter age gradient compared to galaxies of similar stellar mass. The gas of the galaxies has been metal enriched and ejected. We find that quenched galaxies do not inhabit the densest nodes, but rather sit in local underdensities. We analyze observable metrics to predict future quenching at high redshifts, finding that on shorter timescales <500 Myr, the ratio M bh / M * is the best predictor, followed by the burstiness of the preceding star formation, t 50 – t 90 (time to go from 50% to 90% stellar mass). On longer timescales, >1 Gyr, the environment becomes the strongest predictor, followed by t 50 – t 90 , indicating that at high redshifts the consumption of old gas and lack of new gas are more relevant for long-term prevention of star formation than the presence of a massive AGN. We predict that relics of such high- z quenched galaxies should best be characterized by a strong alpha enhancement.


Fig. 1. Projected gas density maps for g19 and g63 as examples of one more active and one more relaxed cluster analyzed in this work at redshift z = 0. The dashed circle denotes R vir . The upper maps have a size of ∆x = ∆y ≈ 3064 kpc h −1 ; the lower maps ∆x = ∆y ≈ 2797 kpc h −1 .
Fig. 5. Slice through the g55 cluster at redshift z = 0, showing the rotational component of the velocity in the upper panel and the multiscale filtered velocity in the lower panel, each comparing MFM and SPH. The color indicates the absolute value of the solenoidal or filtered velocity, while the quivers show the direction. The dashed circle marks R vir .
Fig. 6. Velocity profiles of all the simulated galaxy clusters, at redshift z = 0. The colors of the clusters are the same as in Fig. 2. The lower panels show the ratio between MFM and SPH simulations for each cluster.
Fig. 7. Turbulent pressure profile averaged over all clusters at redshifts z = 0.33 and z = 0, comparing the three analysis methods: the clump3d method, the solenoidal velocity component, and the multi-scale filtered velocity. The sample is split between dynamical states (left column: relaxed, right column: active) and hydro-methods (top row: MFM, bottom row: SPH) used for the simulation. The linestyle indicates the redshift, the color the analysis method. As only seven clusters were used for averaging, a strong scatter between individual clusters dominates the uncertainty.
Fig. 8. Turbulent pressure profile averaged over all clusters and redshifts 0.43 ≥ z ≥ 0. The sample was split between dynamical states and hydro-methods used for the simulation, shown in the different panels. The solid line shows the results for the Clump3d analysis, the dashed line the pressure resulting from the solenoidal velocity component using the Helmholtz-decomposed velocity, and the dash-dotted line results from the multi-scale filtering. The typical uncertainty is on the order of σ = 0.08 and indicated for each method with an error bar on the left of each panel.

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Turbulent pressure support in galaxy cluster. Impact of the hydrodynamical solver

December 2024

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71 Reads

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1 Citation

Astronomy and Astrophysics

Context. The amount of turbulent pressure in galaxy clusters is still debated, especially in relation to the impact of the dynamical state and the hydro-method used for simulations. Aims. We study the turbulent pressure fraction in the intracluster medium of massive galaxy clusters. We aim to understand the impact of the hydrodynamical scheme, analysis method, and dynamical state on the final properties of galaxy clusters from cosmological simulations. Methods. We performed non-radiative simulations of a set of zoom-in regions of seven galaxy clusters with meshless finite mass (MFM) and smoothed particle hydrodynamics (SPH). We used three different analysis methods based on: (i) the deviation from hydrostatic equilibrium, (ii) the solenoidal velocity component obtained by a Helmholtz-Hodge decomposition, and (iii) the small-scale velocity obtained through a multi-scale filtering approach. We split the sample of simulated clusters into active and relaxed clusters. Results. Our simulations predict an increased turbulent pressure fraction for active clusters compared to relaxed ones. This is especially visible for the velocity-based methods. For these, we also find increased turbulence for the MFM simulations compared to SPH, consistent with findings from more idealized simulations. The predicted nonthermal pressure fraction varies between a few percent for relaxed clusters and ≈13% for active ones within the cluster center and increases toward the outskirts. No clear trend with redshift is visible. Conclusions. Our analysis quantitatively assesses the importance played by the hydrodynamical scheme and the analysis method to determine the nonthermal or turbulent pressure fraction. While our setup is relatively simple (non-radiative runs), our simulations show agreement with previous, more idealized simulations, and represent a step closer to an understanding of turbulence.


How the cool-core population transitions from galaxy groups to massive clusters: A comparison of the largest Magneticum simulation with eROSITA, XMM-Newton, Chandra and LOFAR observations

December 2024

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3 Reads

Our aim is to understand how the interplay between AGN feedback and merge processes can effectively turn cool-core galaxy clusters into hot-core clusters in the modern universe. Additionally, we also aim to clarify which parameters of the AGN feedback model used in simulations can cause an excess of feedback at the scale of galaxy groups while not efficiently suppressing star formation at the scale of galaxy clusters. To obtain robust statistics of the cool-core population, we compare the modern Universe snapshot (z=0.25) of the largest Magneticum simulation (Box2b/hr) with the eROSITA eFEDS survey and Planck SZ-selected clusters observed with XMM-Newton. Additionally, we compare the AGN feedback injected by the simulation in radio mode with Chandra observations of X-ray cavities, and LOFAR observations of radio emission. We confirm a decreasing trend in cool-core fractions towards the most massive galaxy clusters, which is well reproduced by the Magneticum simulations. This evolution is connected with an increased merge activity that injects high-energy particles into the core region, but it also requires thermalization and conductivity to enhance mixing through the ICM core, where both factors are increasingly efficient towards the high mass end. On the other hand, AGN feedback remains as the dominant factor at the scale of galaxy groups, while its relative impact decreases towards the most massive clusters. The problems suppressing star formation in simulations are not caused by low AGN feedback efficiencies. They root in the definition of the black hole sphere of influence used to distribute the feedback, which decreases as density and accretion rate increase. Actually, a decreasing AGN feedback efficiency towards low-mass galaxy groups is required to prevent overheating.


Fig. 1. tSZ (y-Compton) and kSZ signals from the local Universe in the SLOW constrained simulation. The upper panels only include the most local structures (up to 110 Mpc, denoted SLOW-110), and the lower panels use almost the full volume of the box (up to 350 Mpc, denoted SLOW-350). The color scale is logarithmic in the tSZ maps and symmetric logarithmic for the kSZ maps. The main characteristics of these maps are recalled in Table 2.
Cosmological parameters of the SLOW simulation.
Characteristics of the tSZ and kSZ maps constructed from the SLOW, Magneticum and Coruscant hydrodynamical simulations.
Dipole amplitude of position-dependent statistics.
Revisiting the CMB large-scale anomalies: The impact of the Sunyaev-Zeldovich signal from the Local Universe

December 2024

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17 Reads

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2 Citations

Astronomy and Astrophysics

The full-sky measurements of the cosmic microwave background (CMB) temperature anisotropies by WMAP and Planck have highlighted several unexpected isotropy-breaking features on the largest angular scales. We investigate the impact of the local large-scale structure on these anomalies through the thermal and kinetic Sunyaev-Zeldovich effects. We used a constrained hydrodynamical simulation that reproduced the local Universe in a box of 500 h ⁻¹ Mpc to construct full-sky maps of the temperature anisotropies produced by these two secondary effects of the CMB, and we discuss their statistical properties on large angular scales. We show the significant role played by the Virgo cluster on these scales, and we compare it to theoretical predictions and random patches of the Universe obtained from the hydrodynamical simulation Magneticum . We explored three of the main CMB large-scale anomalies, that is, the lack of a correlation, the quadrupole-octopole alignment, and the hemispherical asymmetry, in the latest Planck data (PR4), where they are detected at a level similar to the previous releases. We also use the simulated secondaries from the local Universe to verify that their impact is negligible.


Simulating the LOcal Web (SLOW) III. Synchrotron emission from the local cosmic web

November 2024

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4 Reads

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2 Citations

Astronomy and Astrophysics

Aims. Detecting diffuse synchrotron emission from the cosmic web is still a challenge for current radio telescopes. We aim to make predictions about the detectability of cosmic web filaments from simulations. Methods. We present the first cosmological magnetohydrodynamic simulation of a 500 h ⁻¹ c Mpc volume with an on-the-fly spectral cosmic ray (CR) model. This allows us to follow the evolution of populations of CR electrons and protons within every resolution element of the simulation. We modeled CR injection at shocks, while accounting for adiabatic changes to the CR population and high-energy-loss processes of electrons. The synchrotron emission was then calculated from the aged electron population, using the simulated magnetic field, as well as different models for the origin and amplification of magnetic fields. We used constrained initial conditions, which closely resemble the local Universe, and compared the results of the cosmological volume to a zoom-in simulation of the Coma cluster, to study the impact of resolution and turbulent reacceleration of CRs on the results. Results. We find a consistent injection of CRs at accretion shocks onto cosmic web filaments and galaxy clusters. This leads to diffuse emission from filaments of the order S ν ≈ 0.1 μJy beam ⁻¹ for a potential LOFAR observation at 144 MHz, when assuming the most optimistic magnetic field model. The flux can be increased by up to two orders of magnitude for different choices of CR injection parameters. This can bring the flux within a factor of ten of the current limits for direct detection. We find a spectral index of the simulated synchrotron emission from filaments of α ≈ −1.0 to –1.5 in the LOFAR band.


Learning Optimal and Interpretable Summary Statistics of Galaxy Catalogs with SBI

November 2024

How much cosmological information can we reliably extract from existing and upcoming large-scale structure observations? Many summary statistics fall short in describing the non-Gaussian nature of the late-time Universe in comparison to existing and upcoming measurements. In this article we demonstrate that we can identify optimal summary statistics and that we can link them with existing summary statistics. Using simulation based inference (SBI) with automatic data-compression, we learn summary statistics for galaxy catalogs in the context of cosmological parameter estimation. By construction these summary statistics do not require the ability to write down an explicit likelihood. We demonstrate that they can be used for efficient parameter inference. These summary statistics offer a new avenue for analyzing different simulation models for baryonic physics with respect to their relevance for the resulting cosmological features. The learned summary statistics are low-dimensional, feature the underlying simulation parameters, and are similar across different network architectures. To link our models, we identify the relevant scales associated to our summary statistics (e.g. in the range of modes between k=530h/Mpck= 5 - 30 h/\mathrm{Mpc}) and we are able to match the summary statistics to underlying simulation parameters across various simulation models.


Citations (52)


... Bursty starformation has been invoked to explain these results by inducing large UV variability which can allow lower mass galaxies to temporarily scatter to high UV luminosity, although the expected UV scatter from bursty star formation is currently unclear (Shen et al. 2023;Sun et al. 2023b;Mason et al. 2023;Kravtsov & Belokurov 2024). There have been many recent theoretical works studying bursty star formation, however, a clear consensus on its cause and magnitude has not yet been reached (Faisst & Morishita 2024;Dome et al. 2024Dome et al. , 2025Kimmig et al. 2025;Gelli et al. 2025). These results indicate that there is much to learn about the nature of star formation in the early Universe and that the SFMS is a promising avenue to explore. ...

Reference:

The THESAN-ZOOM project: Burst, quench, repeat -- unveiling the evolution of high-redshift galaxies along the star-forming main sequence
Blowing Out the Candle: How to Quench Galaxies at High Redshift—An Ensemble of Rapid Starbursts, AGN Feedback, and Environment

The Astrophysical Journal

... The tension between the value of the Hubble parameter measured by SH0ES [36] and the CMB value obtained under the assumption of ΛCDM [2] currently stands as the most statistically significant one, already reaching the ∼ 5σ c.l. 1 , but there are other long-standing issues afflicting the ΛCDM model that also deserve our attention. Some examples include: the CMB anomalies [1,2,35,[44][45][46][47][48][49][50][51][52][53][54][55]; cosmic dipoles in quasars and radio sources [35,[56][57][58][59][60]; the unexpected large population of extremely massive galaxies at large redshifts z ≳ 5−10 measured by the James Webb Space Telescope (JWST) [61][62][63][64][65][66][67]; and the growth tension [13,[68][69][70][71][72][73][74][75][76][77][78][79][80][81][82]. Interestingly, most of them impact the description of LSS in one way or another. ...

Revisiting the CMB large-scale anomalies: The impact of the Sunyaev-Zeldovich signal from the Local Universe

Astronomy and Astrophysics

... The objective is to obtain a complete description of the distribution of matter and its properties, consistent with the known local LSS. The recent constrained hydrodynamical simulation called SLOW, generated from the initial conditions of Sorce (2018) with its large volume (500 h −1 Mpc) and realistic baryonic physics as described in Dolag et al. (2023), enables detailed analyses of its different components, such as the synchrotron emission (Böss et al. 2023) and the galaxy cluster properties . ...

Simulating the LOcal Web (SLOW) III. Synchrotron emission from the local cosmic web

Astronomy and Astrophysics

... Our simulations do not incorporate radio-mode feedback. As for the pinning of BHs at the centre of the hosting galaxy, our model uses the method detailed in Ragone-Figueroa et al. (2018), which avoids non-physical behaviours that can affect less careful BH repositioning (see also Damiano et al. 2024). -As for the AGN feedback energy partition between the hot and cold phases of MP particles, we abandon the fiducial solution by Valentini et al. (2020), based on an evolving, thought parameterized estimate of the covering factor A200, page 4 of 20 Kroupa et al. 1993), (2) the kinetic wind efficiency, (3) the maximum lifetime of wind particles t wind prescription, (4) the low metallicity feedback factor, (5) the density threshold for entering MP, (6) the star formation efficiency, (7) the BH radiative and feedback efficiencies, (8) the halo mass for BH seeding, and (9) the energy partition between the hot and cold phases (1/2 means that the energy is evenly distributed between phases and CovFact that the partition uses an estimate of the covering factor of cold cloud). ...

Dynamical friction and the evolution of black holes in cosmological simulations: A new implementation in OpenGadget3

Astronomy and Astrophysics

... Some of these issues relate to fundamental gaps in our understanding of the dark sector, comprising dark matter (DM) and dark energy (DE). Others are statistical in nature, but equally significant, most notably the well-documented H 0 (Hubble constant) tension [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], and the S 8 (weighted amplitude of matter fluctuations) tension [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. In addition to these established discrepancies, recent analyses have identified a new tension associated with the growth rate of cosmic structures, which deviates significantly from expectations within the standard model framework [31,32]. ...

KiDS-1000 and DES-Y1 combined: Cosmology from peak count statistics
  • Citing Article
  • September 2024

Monthly Notices of the Royal Astronomical Society

... The number density is AQN = 2 3 × 3 5 DM AQN , which considers only the antimatter AQNs with axion contribution excluded. AQN [g] AQN [cm] AQN [m −3 ] 1 8.8 × 10 −6 9.0 × 10 −25 10 1.9 × 10 −5 9.0 × 10 −26 100 4.1 × 10 −5 9.0 × 10 −27 1000 8.8 × 10 −5 9.0 × 10 −28 factor for the nuggets provided by the axion domain walls which are copiously produced during the QCD transition. This additional element helps to alleviate a number of problems with the Witten's original model. ...

The glow of axion quark nugget dark matter. II. Galaxy clusters

Astronomy and Astrophysics

... Here, dN e + e − ,γγ d lnEi describes the spectrum of e + e − or γγ pairs with total kinetic energy E i , and d lnE i is the spacing between the sample energies. For specific particle DM models, the full spectrum may be close to a delta function and so may align well with one of the basis models, but broad emission spectra that can be decomposed by the procedure described above are also possible (e.g. in the context of decaying dark dimension gravitons [48] or slowly-annihilating axion quark nuggets [49], although these specific models also have non-trivial redshift dependence that would need to be accounted for in a separate analysis). ...

The glow of axion quark nugget dark matter. Part I. Large scale structures

... However, its Einstein ring was unknown until its observation by the Euclid space telescope. The primary scientific goal of Euclid is to obtain cosmological constraints from weak lensing and galaxy clustering over 14 000 deg 2 of the sky (see Euclid Collaboration: Mellier et al. 2025, for a mission overview). As a consequence of observing such a large area at the depth and resolution of Euclid, it is forecast to discover >10 5 new strong gravitational lenses (Collett 2015). ...

Euclid. I. Overview of the Euclid mission
  • Citing Article
  • September 2024

Astronomy and Astrophysics

... The resulting overdensities, now gravitationally bound and decoupled from the Hubble flow, are known as axion miniclusters. 3 The distribution of axion miniclusters has been widely studied through cosmological simulations [28,[54][55][56][57][58]. Of particular importance is the temperature dependence of the axion mass, which can be parametrized in the form ...

Evidence for axion miniclusters with an increased central density
  • Citing Article
  • August 2024

Physical Review D

... These differences can complicate the interpretation of comparisons between literature results (e.g., Meskhidze et al. 2022). Meanwhile, a growing body of work based on high-resolution controlled (i.e., non-cosmological) simulations shows that convergence can be difficult to achieve in certain regions of SIDM parameter space, and that robust SIDM (sub)halo modeling can require significantly higher resolution than expected based on CDM convergence tests (Palubski et al. 2024;Mace et al. 2024;Fischer et al. 2024a). ...

Numerical challenges for energy conservation in N-body simulations of collapsing self-interacting dark matter halos

Astronomy and Astrophysics