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Anisotropic thermal expansion plays a critical role in the performance and reliability of functional materials, yet its theoretical description remains limited. Here, a computational framework that reduces the calculation of thermal…

Materials Science · Physics 2026-02-25 Dmitry Vasilyev

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

We conjecture a universal formula for the heat current of a steady state connecting two asymptotic equilibrium systems in d-dimensional conformal field theories. Our proposal is verified by comparing it to exact expressions in 1+1…

High Energy Physics - Theory · Physics 2015-06-17 Han-Chih Chang , Andreas Karch , Amos Yarom

Conventional derivations of phase boundaries from the Clausius-Clapeyron (CC) relation often employ the constant latent heat approximation to maintain analytical functions of the sublimation and boiling curves. To address the complex…

Statistical Mechanics · Physics 2026-05-19 Anthony N. Papathanassiou

Recently, we have presented some simple arguments supporting the existence of certain complementarity between thermodynamic quantities of temperature and energy, an idea suggested by Bohr and Heinsenberg in the early days of Quantum…

Statistical Mechanics · Physics 2015-05-14 L. Velazquez , S. Curilef

For particles in an anharmonic potential, classical mechanics asserts that there is a renormalization of the bare frequency of the oscillatory motion, and statistical mechanics claims that the anharmonicity causes a correction to the heat…

Statistical Mechanics · Physics 2023-06-14 Y. T. Liu , Y. H. Zhao , Y. Zhong , J. H. Zhang , Q. H. Liu

We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relations, and classical thermodynamics laws. What is more, by…

Analysis of PDEs · Mathematics 2020-11-23 Ning-An Lai , Chun Liu , Andrei Tarfulea

We formulate a predictive theory at the level of forces of activated relaxation in hard sphere fluids and thermal liquids that covers in a unified manner the apparent Arrhenius, crossover and deeply supercooled regimes. The alpha relaxation…

Soft Condensed Matter · Physics 2013-10-23 Stephen Mirigian , Kenneth S. Schweizer

This work presents a tentative discussion of certain aspects of energy behavior in the context of mathematical fluid dynamics. While some observations are made regarding certain patterns in energy behavior under particular conditions, the…

Analysis of PDEs · Mathematics 2026-04-17 Thomas Ruf

We introduce a class of stochastic weakly coupled map lattices, as models for studying heat conduction in solids. Each particle on the lattice evolves according to an internal dynamics that depends on its energy, and exchanges energy with…

Statistical Mechanics · Physics 2013-02-18 François Huveneers

We present an accurate equation of state for water based on a simple microscopic Hamiltonian, with only four parameters that are well-constrained by bulk experimental data. With one additional parameter for the range of interaction, this…

Soft Condensed Matter · Physics 2012-07-27 Ravishankar Sundararaman , Kendra Letchworth-Weaver , T. A. Arias

In a recent Letter [A. Lapolla and A. Godec, Phys. Rev. Lett. 125, 110602 (2020)], thermal relaxation was observed to occur faster from cold to hot (heating) than from hot to cold (cooling). Here we show that overdamped diffusion in…

Statistical Mechanics · Physics 2021-10-04 Jan Meibohm , Danilo Forastiere , Tunrayo Adeleke-Larodo , Karel Proesmans

Microscopic understanding of liquid properties is essential for advancing a wide range of applications from energy applications such as nuclear reactors and batteries to biomedical applications including drug delivery and microfluidics.…

Chemical Physics · Physics 2026-03-24 Jaeyun Moon

This paper is devoted to the homogenization of the heat conduction equation, with a homogeneous Dirichlet boundary condition, having a periodically oscillating thermal conductivity and a vanishing volumetric heat capacity. A homogenization…

Analysis of PDEs · Mathematics 2019-06-06 Tatiana Danielsson , Pernilla Johnsen

During liquid evaporation, the temperature of the liquid determines the saturated vapor pressure above it, which controls the evaporation rate and thus determines the liquid temperature through latent heat. Therefore, the equations for the…

Soft Condensed Matter · Physics 2014-11-26 Xuefeng Xu

We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

Freezing of simple liquid metals and the relative stabilities of competing crystalline solids are investigated using thermodynamic perturbation theory, the interactions between ions being modeled by effective pair potentials derived from…

Materials Science · Physics 2009-10-31 A. R. Denton , G. Kahl , J. Hafner

This paper summarizes the properties of strongly correlating liquids, i.e., liquids with strong correlations between virial and potential energy equilibrium fluctuations at constant volume. We proceed to focus on the experimental…

Soft Condensed Matter · Physics 2015-03-14 Ulf R. Pedersen , Nicoletta Gnan , Nicholas P. Bailey , Thomas B. Schröder , Jeppe C. Dyre

It has been shown that the dependence of thermal expansion coefficient and of the isobaric heat capacity of supercooled water on the temperature contradicts to an important thermodynamic relation. Keywords: Supercooled water, Negative…

General Physics · Physics 2009-09-29 I. A. Stepanov
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