E.M. LIFSHITZ’s research while affiliated with Russian Academy of Sciences and other places

... Thermodynamics yield for the critical diameter the expression d c = 4σ/ΔG, where σ is the surface tension at the metal−matrix interface and ΔG is the bulk free energy decrease associated with the formation of the metal phase. 70 During the normal (second) growth stage, the NPs' mean size increases with time approximately as t 1/2 but the distribution remains approximately Gaussian. In the third stage, some (larger) particles grow at the expense of the disappearance of smaller ones, yielding a specific asymmetric size distribution derived by Lifshitz and Slyozov, 68 and the average size increases approximately as t 1/3 . ...

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Broadband Optical Absorption caused by Plasmonic Response of Coalesced Au Nanoparticles Embedded in a TiO2 Matrix

... Drawing on the displacement solution of Kelvin's problem [29], the displacement S induced by the prestressing force P 0 at the distal end of the anchored section is obtained, ...

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Influence of Borehole Deviation on Pressure-type Anchor Cables: Characteristics of Stress Distribution and Transmission

... Furthermore, according to the Euler-Bernoulli beam theory, the bending moment is proportional to the change of curvature. Without any curvature in the initial configuration, the bending moment is = − , where is bending stiffness, more specifically = ℎ 3 ∕(12(1 − 2 )) in a plane strain case, where ℎ, and are the thickness of the beam, Young's modulus and Poisson's ratio, respectively, Lifshitz et al. (1986). Furthermore, the curvature can be expressed as the rate of change of the tangent vector, = ′ ( ). ...

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Effects of nonlinearities and geometric imperfections on multistability and deformation localization in wrinkling films on planar substrates

... The bulk modulus measures the material's resistance to uniform compression, indicating its incompressibility [66], [67]. Poisson's ratio, the ratio of lateral to longitudinal strain, reflects the volumetric change behavior of a material under uniaxial stress and helps in assessing its deformation characteristics [68]- [77]. These mechanical properties are vital for designing materials in structural, aerospace, and electronic applications, as they determine the strength, flexibility, and resilience of the material under different conditions. ...

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Exploring new lead-free halide perovskites RbSnM3 (M = I, Br, Cl) and achieving power conversion efficiency > 32%

... Poisson's ratio of the hybrid structure, the displacements of boundaries under uniaxial strain need to be determined. The deformation of membranes with the hybrid structure under uniaxial strain can be described by the Cauchy equation[52]: ...

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Flexible sensors with zero Poisson's ratio

... However, since the density distribution profiles vary smoothly between the liquid and gas phases, h is ill defined (particularly when it is small), and it is arguably better to consider the binding potential as a function of the adsorption [see Eq. (1) below], i.e., g = g( ) [21]. Such binding potentials (or wetting energies), once extracted from microscopic models [22][23][24][25] or appropriate approximations [26][27][28], are employed as crucial elements of mesoscale hydrodynamic models where they enter as the Derjaguin (or disjoining) pressure [20,29,30]. ...

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Binding potential and wetting behavior of binary liquid mixtures on surfaces

... At the same time, the research of the intermediate state (IS) in the high pure type I superconductors, using the ultrasound, did not lead to any significant results (see the review [2]). As it is known345, the type I superconductors of final dimensions transit to an intermediate state, dividing on a big number of altering superconducting and normal layers of the at an action by the external magnetic field H with the magnitude of (1−n )H c <H<H c (n is the demagnetization factor of a sample). The field H is equal to the critical magnetic field value H c in the normal phase layers, and it is directed along the normal phase layers; whereas there is no any magnetic field in the diamagnetic superconducting phase layers. ...

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Experimental research of longitudinal ultrasound absorption in intermediate state of high pure type I superconductor

... Macroscopic excitations play an essential role in many areas of physics, particularly in Bose-Einstein condensates (BECs), which exhibit phenomena such as solitons [1][2][3][4][5][6][7][8][9], quantized vortices [10][11][12][13][14][15][16][17], vortex sheets [18][19][20][21][22][23][24], domain walls [25,26], textures [27][28][29]. These excitations are crucial for understanding the phase, superfluidity and magnetic properties of condensates. ...

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Soliton sheets of Bose–Einstein condensates in optical lattices

... where A H is the Hamaker constant that can be calculated by the Lifshitz theory [42] using the interaction of static dielectric constant in a medium [31,79], as follows: ...

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Temperature effects on adsorption and capillarity water retention mechanisms in constrained unsaturated soils

... Aside from its purely academic interest, its resolution has wide implications in many areas of science and technology on many disparate scales [1] [2] [3] [4] [5] [6] [7] [8] [9]. These vary from quantum optics, metamaterials , nanofluidics, nanomachinery, cold atom technology and early Universe cosmology. ...

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On the computation of Casimir stresses in open media and Lifshitz theory