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General hyperbolic systems of balance laws with inhomogeneity in space and time in all constitutive functions are studied in the context of relative entropy. A framework is developed in this setting that contributes to a measure-valued weak…

偏微分方程分析 · 数学 2022-06-02 Cleopatra Christoforou

In the context of interacting particle systems, we study the influence of the action of the semigroup on the concentration property of Lipschitz functions. As an application, this gives a new approach to estimate the relaxation speed to…

概率论 · 数学 2015-06-30 Jean René Chazottes , Pierre Collet , Frank Redig

We apply a modified mean-field density functional theory to determine the phase behavior of binary mixtures of Stockmayer fluids whose spherical constituents interact according to Lennard-Jones (LJ) pair potentials with embedded pointlike…

软凝聚态物质 · 物理学 2009-11-11 I. Szalai , S. Dietrich

The virial theorem, and the equipartition theorem in the case of quadratic degrees of freedom, are handy constraints on the statistics of equilibrium systems. Their violation is instrumental in determining how far from equilibrium a driven…

统计力学 · 物理学 2022-03-14 Gianmaria Falasco , Eli Barkai , Marco Baiesi

The local thermodynamics of a system with long-range interactions in d dimensions is studied using the mean-field approximation. Long-range interactions are introduced through pair interaction potentials that decay as a power law in the…

统计力学 · 物理学 2013-11-13 Ivan Latella , Agustín Pérez-Madrid

Domain growth during the kinetics of phase separation is studied following vapor-liquid transition in a single component Lennard-Jones fluid. Results are analyzed after appropriately mapping the continuum snapshots obtained from extensive…

统计力学 · 物理学 2015-05-27 Suman Majumder , Subir K. Das

We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that…

数学物理 · 物理学 2016-09-16 Alessandro Arsie , Paolo Lorenzoni , Antonio Moro

We present an axisymmetric lattice Boltzmann model based on the Kupershtokh et al. multiphase model that is capable of solving liquid-gas density ratios up to $10^3$. Appropriate source terms are added to the lattice Boltzmann evolution…

计算物理 · 物理学 2015-12-08 Sten A. Reijers , Hanneke Gelderblom , Federico Toschi

A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type potential is proposed under the phase-field framework for…

数值分析 · 数学 2022-05-17 Lingyue Shen , Ping Lin , Zhiliang Xu , Shixin Xu

Cavity point-to-set correlations are real-space tools to detect the roughening of the free-energy landscape that accompanies the dynamical slowdown of glass-forming liquids. Measuring these correlations in model glass formers remains,…

统计力学 · 物理学 2016-01-26 Ludovic Berthier , Patrick Charbonneau , Sho Yaida

Non-universal scale transformations of the physical fields are extended to pure quantum fluids and used to calculate susceptibility, specific heat and the order parameter along the critical isochore of He3 near its liquid-vapor critical…

统计力学 · 物理学 2007-05-23 Yves Garrabos

A new theory on gas-liquid phase transition is given. The new idea is that the total intermolecular potential energy for a classical system in equilibrium is relative with the average distance of molecules. A new space homogeneity…

统计力学 · 物理学 2007-05-23 Yuan-Xing Gui

A simplified relativistic kinetic theory for gases with internal degrees of freedom, based on a BGK-type collision term, is considered. First the Boltzmann equation is rewritten in tetrad form and then thermal coefficients are determined to…

广义相对论与量子宇宙学 · 物理学 2026-04-13 Philip Semrén , Michael Bradley , João M. S. Oliveira , M. Piedade Machado Ramos

We analyze a one-component simple fluid in a liquid-vapor coexistence state, which forms an arbitrarily curved interface. By using an approach based on density functional theory, we obtain an exact and simple expression for the grand…

统计力学 · 物理学 2015-05-30 Jose G. Segovia-Lopez , Adolfo Zamora , J. A. Santiago

We analyze the properties of a Lennard-Jones system at the level of the potential energy landscape. After an exhaustive investigation of the topological features of the landscape of the systems, obtained studying small size sample, we…

无序系统与神经网络 · 物理学 2016-08-31 L. Angelani , G. Parisi , G. Ruocco , G. Viliani

We review the critical behaviour of the Driven Lattice Gas (DLG) model. As a result, we obtain a novel Langevin equation for the DLG which depends on the microscopic transition probabilities. We then show how this dependence affects the…

凝聚态物理 · 物理学 2015-06-25 F. de los Santos , P. L. Garrido

The influence of the unlike Lennard-Jones (LJ) parameters on vapor-liquid equilibria of mixtures is investigated and the performance of eleven combining rules is assessed. In the first part of the work, the influence of the unlike LJ size…

化学物理 · 物理学 2009-04-29 T. Schnabel , J. Vrabec , H. Hasse

We study the convergence of a finite volume method based on the method of bicharacteristics for multidimensional hyperbolic conservation laws. In particular, we concentrate on the linear wave equation system and nonlinear Euler equations of…

数值分析 · 数学 2025-11-25 Mária Lukáčová-Medvidová , Zhuyan Tang , Yuhuan Yuan

Based on quasi-stationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as,…

统计力学 · 物理学 2015-12-23 M. M. de Oliveira , M. G. E. da Luz , C. E. Fiore

We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with the energetic variational approach we obtain a general system modeling the evolution of a non-isothermal chemical…

偏微分方程分析 · 数学 2021-02-03 Chun Liu , Jan-Eric Sulzbach