David J. McComas’s research while affiliated with Princeton University and other places

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Publications (89)


High-resolution Observations of Pickup-ion-mediated Shocks to 60 au
  • Article
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April 2025

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18 Reads

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1 Citation

The Astrophysical Journal

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David J. McComas

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Eric J. Zirnstein

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This study provides a detailed analysis of 14 distant interplanetary shocks observed by the Solar Wind Around Pluto instrument on board New Horizons. These shocks were observed with a pickup ion data cadence of approximately 30 minutes, covering a heliocentric distance range of ∼52–60 au. All the shocks observed within this distance range are fast forward shocks, and the shock compression ratios vary between ∼1.2 and 1.9. The shock transition scales are generally narrow, and the SW density compressions are more pronounced compared to the previous study of seven shocks by D. J. McComas et al. A majority (64%) of these shocks have upstream sonic Mach numbers greater than 1. In addition, all high-resolution measurements of distant interplanetary shocks analyzed here show that the shock transition scale is independent of the shock compression ratio. However, the shock transition scale is strongly anticorrelated with the shock speed in the upstream plasma frame, meaning faster shocks generally yield sharper transitions.

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Observations and theory of kappa distributions have been well developed, but what is missing is a simple numerical experiment of the effect of particles correlations on their distributions.
Complementary cumulative distribution (ccd) of particle energies (probability of a particle energy larger than E) versus the energy E. The simulated distribution converges to a kappa distribution (black) as the number of particles N (upper left) and the number of iterations τ (upper right) increase. The lower panels show the respective convergences as N and τ increase.
Additional ccd curves for one correlation pair (upper left panel), two correlation pairs (upper right panel), or multiple correlation pairs (lower panel). In the upper two panels, various values of f are used while, in the lower panel, the energy transfer fraction is fixed at its maximum, f→1. The deviations of the points below the fit lines at the highest energies are because of the number of particles that it was reasonable to run with our computing resources, but as shown in Figure 2, these converge to the kappa distribution lines with an increasing number of particles or iterations (see also Appendix B). The yellow points (f or M=0) correspond to zero correlation and thus MB distributions.
The inverse of κ0+1 (red asterisks) for the kappa distributions, shown in Figure 3, as a function of f·M (the energy transfer f per correlation pair multiplied by the number of correlation pairs M).
Correlations and Kappa Distributions: Numerical Experiment and Physical Understanding

March 2025

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27 Reads

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1 Citation

Kappa distributions, their statistical framework, and their thermodynamic origin describe systems with correlations among their particle energies, residing in stationary states out of classical thermal equilibrium/space plasmas, from solar wind to the outer heliosphere, are such systems. We show how correlations from long-range interactions compete with collisions to define the specific shape of particle velocity distributions, using a simple numerical experiment with collisions and a variable amount of correlation among the particles. When the correlations are turned off, collisions drive any initial distribution to evolve toward equilibrium and a Maxwell–Boltzmann (MB) distribution. However, when some correlation is introduced, the distribution evolves toward a different stationary state defined by a kappa distribution with some finite value of the thermodynamic kappa κ (where κ→∞ corresponds to a MB distribution). Furthermore, the stronger the correlations, the lower the κ value. This simple numerical experiment illuminates the role of correlations in forming stationary state particle distributions, which are described by kappa distributions, as well as the physical interpretation of correlations from long-range interactions and how they are related to the thermodynamic kappa.


High-Resolution Observations of Pickup Ion Mediated Shocks to 60 au

March 2025

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10 Reads

This study provides a detailed analysis of fourteen distant interplanetary shocks observed by the Solar Wind Around Pluto (SWAP) instrument onboard New Horizons. These shocks were observed with a pickup ion data cadence of approximately 30 minutes, covering a heliocentric distance range of ~52-60 au. All the shocks observed within this distance range are fast-forward shocks, and the shock compression ratios vary between ~1.2 and 1.9. The shock transition scales are generally narrow, and the SW density compressions are more pronounced compared to the previous study of seven shocks by McComas et al. (2022). A majority (64%) of these shocks have upstream sonic Mach numbers greater than one. In addition, all high-resolution measurements of distant interplanetary shocks analyzed here show that the shock transition scale is independent of the shock compression ratio. However, the shock transition scale is strongly anti-correlated with the shock speed in the upstream plasma frame, meaning that faster shocks generally yield sharper transitions.


What defines stationarity in space plasmas

February 2025

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3 Reads

Starting from the concept of entropy defect in thermodynamics, we construct the entropy formulation of space plasmas, and then use it to develop a measure of their stationarity. In particular, we show that statistics of this entropy results in two findings that improve our understanding of stationary and nonstationary systems: (i) variations of the Boltzmann-Gibbs (BG) entropy do not exceed twice the value of the thermodynamic kappa, the parameter that provides a measure of the entropy defect in both stationary and nonstationary states, while becomes the shape parameter that labels the kappa distributions in stationary states; and (ii) the ratio of the deviation of the BG entropy with kappa scales with the kappa deviation via a power-law, while the respective exponent provides a stationarity deviation index (SDI), which measures the natural tendency of the system to depart from stationarity. We confirm the validity of these findings in three different heliospheric plasma datasets observed from three missions: (1) A solar energetic particle event, recorded by the Integrated Science Investigation of the Sun instrument onboard Parker Solar Probe; (2) Near Earth solar wind protons recorded by the Solar Wind Experiment instrument onboard WIND; and (3) Plasma protons in the inner heliosphere, source of energetic neutral atoms recorded by IBEX. The full strength and capability of the entropic deviation ratio and SDI can now be used by the space physics community for analyzing and characterizing the stationarity of space plasmas, as well as other researchers for analyzing any other correlated systems.


Figure 2. Sunspot number (red) and solar wind dynamic pressure at 1 au (black; / m N V 1 2 p g g 2 ) between 2010 and 2024 (smoothed over two Carrington rotations). An enhancement in solar wind dynamic pressure occurred at the end of 2014, coinciding with the beginning of the declining phase of the solar cycle 24.
Values of the Parameters Used for the Three Cases A, B, and C
PUI Heating in the Supersonic Solar Wind

January 2025

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68 Reads

The Astrophysical Journal

The outer heliosphere is profoundly influenced by nonthermal energetic pickup ions (PUIs), which dominate the internal pressure of the solar wind beyond ~10 au, surpassing both solar wind and magnetic pressures. PUIs are formed mostly through charge exchange between interstellar neutral atoms and solar wind ions. This study examines the apparent heating of PUIs in the distant supersonic solar wind before reaching the heliospheric termination shock. New Horizons’ SWAP observations reveal an unexpected PUI temperature change between 2015 and 2020, with a notable bump in PUI temperature. Concurrent observations from the ACE and Wind spacecraft at 1 au indicate a ~50% increase in solar wind dynamic pressure at the end of 2014. Our simulation suggests that the bump observed in the PUI temperature by New Horizons is largely associated with the enhanced solar wind dynamic pressure observed at 1 au. Additional PUI temperature enhancements imply the involvement of other heating mechanisms. Analysis of New Horizons data reveals a correlation between shocks and PUI heating during the declining phase of the solar cycle. Using a PUI-mediated plasma model, we explore shock structures and PUI heating, finding that shocks preferentially heat PUIs over the thermal solar wind in the outer heliosphere. We also show that the broad shock thickness observed by New Horizons is due to the large diffusion coefficient associated with PUIs. Shocks and compression regions in the distant supersonic solar wind lead to elevated PUI temperatures and thus they can increase the production of energetic neutral atoms with large energy.



Time-dependent Acceleration and Escape of Charged Particles at Traveling Shocks in the Near-Sun Environment

January 2025

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27 Reads

The Astrophysical Journal

Current multi-spacecraft in situ measurements allow for the investigation of the time evolution of energetic particles at interplanetary shocks (IPs) at small (≲0.1 au) heliocentric distances. The energy spectrum of accelerated particles at IPs was shown by a previous 1D transport model that includes both self-excited plus preexisting turbulence and a term representing the escape of particles from the system to gradually steepen as a result of a finite acceleration-to-escape timescales ratio; such a model was found in excellent agreement with the entire sample of the ground-level enhancement spectra of solar cycle 23. We solve the time-dependent case of such a model in the case of diffusion dominated by preexisting turbulence. The average timescale for particle acceleration at various heliocentric distances, from 1 au down to the inner heliosphere (<0.1 au), is shorter than in the no-escape case, as higher energy particles have a shorter time to accelerate before completely leaving the system into the upstream medium. A simple scaling with time of the time-dependent spectrum is provided. We compare the “nose” structure at a few ∼100s keV protons first measured in situ by Parker Solar Probe in crossing the very fast 2022 September 5 shock at 0.07 au; we find that the nose is reasonably well explained by a lack of the highest energy particles not yet produced by the young shock by both our model and the no-escape version.


Preface to special topic: Plasma physics of the Sun in honor of Eugene Parker

January 2025

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29 Reads

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1 Citation

This Special Topic commemorates the legacy of Eugene Parker and highlights new understandings of the plasma physics of the Sun resulting from the observations, plans, and analyses for the Parker Solar Probe (PSP) and Solar Orbiter (SolO) Missions. In recognition of Eugene Parker's remarkable insights and many contributions, distinguished authors from around the world were invited to present papers in theoretical, computational, and observational heliophysics and astrophysics. A total of 80 authors from 12 countries (Argentina, Czech Republic, France, Germany, Greece, India, Italy, New Zealand, People's Republic of China, Spain, United Kingdom, and United States of America) contributed to the Special Collection. These papers bring the recent research in physics of the Sun to the broader plasma physics community. Many include the latest observations from PSP and SolO and describe new understandings of coronal processes, solar wind structure and dynamics, transient events including nanoflares, and insights into stellar equilibrium and flows.


Figure 2. Relative positive and negative directions for velocities and entropies.
Figure 5. (a) Energy plotted as a function of momentum and for various values of the anisotropy r. Both the branches of matter, E + (p), and antimatter, │E -│(p), are shown. (b) Locus of momentum min ( ) p r and energy min ( ) E r 
Figure 6. (a) Plot of the third speed term of the wavelength shifting,
Figure 7. Systematic methodology of Thermodynamic Relativity theory.
The Theory of Thermodynamic Relativity

October 2024

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115 Reads

We introduce the theory of thermodynamic relativity, a unified framework for describing both entropies and velocities, and their respective disciplines of thermodynamics and kinematics, which share a surprisingly identical description with relativity. This is the first study to generalize relativity in a thermodynamic context, leading naturally to anisotropic and nonlinear adaptations of relativity; thermodynamic relativity constitutes a new path of generalization, as compared to the traditional passage from special to general theory based on curved spacetime. We show that entropy and velocity are characterized by three identical postulates, providing the basis of a broader framework of relativity: (1) no privileged reference frame with zero value; (2) existence of an invariant and fixed value for all reference frames; and (3) existence of stationarity. The postulates lead to a unique way of addition for entropies and for velocities, called kappa addition. The theory provides a systematic method of constructing a generalized framework of the theory of relativity, based on the kappa addition, fully consistent with both thermodynamics and kinematics. From the generality of the kappa addition, we focus on the cases corresponding to linear special relativity. Then, we show how the thermodynamic relativity leads to the addition of entropies in nonextensive thermodynamics and the addition of velocities in the isotropic special relativity of Einstein, as in two extreme cases, while intermediate cases correspond to an anisotropic adaptation of relativity. Using thermodynamic relativity for velocities, we construct the anisotropic special relativity (asymmetric Lorentz transformation, nondiagonal metric, energy momentum velocity relations). Then, we discuss the consequences of the anisotropy in known relativistic effects: (1) matter antimatter asymmetry, (2) time dilation, and (3) Doppler effect.


The theory of thermodynamic relativity

September 2024

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126 Reads

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5 Citations

We introduce the theory of thermodynamic relativity, a unified theoretical framework for describing both entropies and velocities, and their respective physical disciplines of thermodynamics and kinematics, which share a surprisingly identical description with relativity. This is the first study to generalize relativity in a thermodynamic context, leading naturally to anisotropic and nonlinear adaptations of relativity; thermodynamic relativity constitutes a new path of generalization, as compared to the “traditional” passage from special to general theory based on curved spacetime. We show that entropy and velocity are characterized by three identical postulates, which provide the basis of a broader framework of relativity: (1) no privileged reference frame with zero value; (2) existence of an invariant and fixed value for all reference frames; and (3) existence of stationarity. The postulates lead to a unique way of addition for entropies and for velocities, called kappa-addition. We develop a systematic method of constructing a generalized framework of the theory of relativity, based on the kappa-addition formulation, which is fully consistent with both thermodynamics and kinematics. We call this novel and unified theoretical framework for simultaneously describing entropy and velocity “thermodynamic relativity”. From the generality of the kappa-addition formulation, we focus on the cases corresponding to linear adaptations of special relativity. Then, we show how the developed thermodynamic relativity leads to the addition of entropies in nonextensive thermodynamics and the addition of velocities in Einstein’s isotropic special relativity, as in two extreme cases, while intermediate cases correspond to a possible anisotropic adaptation of relativity. Using thermodynamic relativity for velocities, we start from the kappa-addition of velocities and construct the basic formulations of the linear anisotropic special relativity; e.g., the asymmetric Lorentz transformation, the nondiagonal metric, and the energy-momentum-velocity relationships. Then, we discuss the physical consequences of the possible anisotropy in known relativistic effects, such as, (i) matter-antimatter asymmetry, (ii) time dilation, and (iii) Doppler effect, and show how these might be used to detect and quantify a potential anisotropy.


Citations (60)


... 19 Last year, a Special Topic commemorated the legacy of Eugene Parker and highlighted the plasma physics of the Sun resulting from the Parker Solar Probe (PSP) and Solar Orbiter (SolO) Missions. 20 27 and Swadesh Mahajan's letter presenting a succinct derivation showing how the linear waves in Hall magnetohydrodynamics (HMHD) constitute a fundamental departure from the standard MHD waves. 28 Let us applaud these authors for their absolutely outstanding highlighted articles and also salute the authors of the nearly 900 other important and original articles appearing in Volume 31. ...

Reference:

Editorial: Preface to the 32nd volume of Physics of Plasmas
Preface to special topic: Plasma physics of the Sun in honor of Eugene Parker

... The entropy defect [18,19,85,113,[125][126][127][128] describes all of the physically allowed ways that the entropy of a system can be shared among its constituent particles. The total entropy of a system equals the simple sum of the constituent entropies only if there are absolutely no correlations (see also: [7,129,130]). ...

The theory of thermodynamic relativity

... The entropy defect [18,19,85,113,[125][126][127][128] describes all of the physically allowed ways that the entropy of a system can be shared among its constituent particles. The total entropy of a system equals the simple sum of the constituent entropies only if there are absolutely no correlations (see also: [7,129,130]). ...

Universality of kappa distributions

... Opher et al. (2017) argued that the lack of rotation of the magnetic field along the heliopause following the Voyager crossings is related to the draped B ISM twice reconnecting with the solar magnetic field in the flanks, creating a family of field lines with solar-like orientation ahead of the heliosphere at Voyager 1 and 2, as seen in observations. Turner et al. (2023) further argued that the Voyager probes are likely in a reconnecting boundary layer beyond the heliopause, which would account for the currently observed orientation of the B ISM . This reconnecting boundary region is further suggested by the 40-139 keV radial ion outflow measured to be perpendicular to the magnetic field by Voyager 2 for at least 28 au past the heliopause, which were suggested to be ions escaping from the heliosheath to the ISM (Dialynas et al. 2021). ...

Evidence of a Thick Heliopause Boundary Layer Resulting from Active Magnetic Reconnection with the Interstellar Medium

The Astrophysical Journal

... The entropy transport (Equation (17)) can be physically understood through the concept of entropy defect (G. Livadiotis & D. J. McComas 2021, 2022, 2023b, 2023c, 2023d. Entropy defect measures how much the entropy changes. ...

Entropy defect: Algebra and thermodynamics

... Thus, the distance r A of the Alfvén surface varies inversely with the amplitude of the azimuthal velocity in the range of 10 R e r A < 13 R e . S. R. Cranmer et al. (2023) combined 1D modeling with perihelia of Parker Solar Probe data and found that the Alfvén surface is located at heliocentric distances between about 10 and 20 R e , which is consistent with our results. ...

The Sun’s Alfvén Surface: Recent Insights and Prospects for the Polarimeter to Unify the Corona and Heliosphere (PUNCH)

Solar Physics

... The entropy defect [18,19,85,113,[125][126][127][128] describes all of the physically allowed ways that the entropy of a system can be shared among its constituent particles. The total entropy of a system equals the simple sum of the constituent entropies only if there are absolutely no correlations (see also: [7,129,130]). ...

Extensive Entropy: The case of Zero Entropy Defect

... One mission concept that targets the 4π concept is Firefly . Measurements of the solar poles having the most potential for discovery science (Linker et al. 2022;DeForest et al. 2022), and could come as the first piece of a complete 4π constellation, as in the Solaris mission concept (Hassler et al. 2022), or the Sun 2 Stars (Schwadron et al. 2022). Cross-regional and cross-scale measurement coverage is needed, especially via constellations measuring the mesoscales in the inner heliosphere, matched compositional measurements to link physical regions, and continuous remote imaging through the middle corona. ...

Sun-2-Stars (S2S): Unified Understanding of Our Space Environs from the Sun’s Poles through the 3D Solar Wind and Out Toward the Stars

... The block structure of MS-FLUKKS is outlined in Pogorelov et al. (2014). Its new developments are described by Pogorelov et al. (2016Pogorelov et al. ( , 2017bPogorelov et al. ( ,a, 2021; Fraternale et al. (2023) and Bera et al. (2023). ...

The Role of Pickup Ions in the Interaction of the Solar Wind with the Local Interstellar Medium. I. Importance of Kinetic Processes at the Heliospheric Termination Shock

The Astrophysical Journal

... When a CME moves faster than the ambient solar wind, an interplanetary forward fast magnetosonic shock develops. The region between the CME and the shock, called the CME sheath, is turbulent and can contain energetic particles (Lario & Decker 2002;Lario et al. 2023;Kilpua et al. 2023) and large-scale planar structures (Kilpua et al. 2017;Nakagawa et al. 1989). Some studies on CME sheath turbulence compare fluctuations in the upstream solar wind to fluctuations in the sheath . ...

Energetic ion enhancements in sheaths driven by interplanetary coronal mass ejections

Astrophysics and Space Science