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We develop a quenched thermodynamic formalism for a wide class of random maps with non-uniform expansion, where no Markov structure, no uniformly bounded degree or the existence of some expanding dynamics is required. We prove that every…

Dynamical Systems · Mathematics 2024-04-19 Manuel Stadlbauer , Shintaro Suzuki , Paulo Varandas

In this article we review the thermodynamics of liquids in the framework of the inherent structure formalism. We then present calculations of the distribution of the basins in the potential energy of a binary Lennard-Jones mixture as a…

Soft Condensed Matter · Physics 2009-10-31 F. Sciortino , W. Kob , P. Tartaglia

We use the density functional method to examine the properties of the nonuniform (two-phase) fluid of two-level atoms, a part of which is excited. Basing on the analysis of the equation of state of a gas of two-level atoms, a part of which…

Soft Condensed Matter · Physics 2007-05-23 Oleg Derzhko , Vasyl Myhal

Interface equations are derived for both binary diffusive and binary fluid systems subjected to non-equilibrium conditions, starting from the coarse-grained (mesoscopic) models. The equations are used to describe thermo-capillary motion of…

Soft Condensed Matter · Physics 2015-06-25 Ravi Bhagavatula , David Jasnow , Takao Ohta

We present a new variational framework for dissipative general relativistic fluid dynamics. The model extends the convective variational principle for multi-fluid systems to account for a range of dissipation channels. The key ingredients…

General Relativity and Quantum Cosmology · Physics 2016-04-26 N. Andersson , G. L. Comer

Expressions for intermolecular forces and torques, derived from pair potentials between rigid non-spherical units, are presented. The aim is to give compact and clear expressions, which are easily generalised, and which minimise the risk of…

Statistical Mechanics · Physics 2013-03-19 Michael P. Allen , Guido Germano

An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically…

Statistical Mechanics · Physics 2008-07-18 M. Lopez de Haro , S. B. Yuste , A. Santos

Using a new technique for the extraction of leading-log energy dependence from the non-Abelian portion of quark-line interactions, hadronic scattering amplitudes may be represented in terms of functional integrals over gluonic material…

High Energy Physics - Theory · Physics 2007-05-23 H. M. Fried

Thermodynamic response functions, namely the isothermal compressibility, the thermal pressure coefficient, and the thermal expansion coefficient, are calculated for a many-particle system interacting through a modified Morse potential.…

Statistical Mechanics · Physics 2024-09-17 O. A. Dobush , M. P. Kozlovskii , R. V. Romanik , I. V. Pylyuk

This paper shows how mesoscopic nonequilibrium thermodynamics can be applied to condensation and evaporation. By extending the normal set of thermodynamic variables with two internal variables, we are able to give a new theoretical…

Statistical Mechanics · Physics 2009-11-10 D. Bedeaux , S. Kjelstrup , J. M. Rubi

In order to provide a formally correct thermodynamical description of inhomogeneous fluids valid on all length scales down to the classical limit we postulate that all extensive quantities have locally extensive analogues. We derive local…

Statistical Mechanics · Physics 2016-08-14 Aljaž Godec , Janko Jamnik , Franci Merzel

We present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential. The fluid may be classical or quantum and it is assumed that interatomic interactions are…

Statistical Mechanics · Physics 2008-08-13 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

We use coupled-cluster quantum chemical methods to calculate the energetics of molecular clusters cut out of periodic molecular hydrogen structures that model observed phases of solid hydrogen. The hydrogen structures are obtained from…

Materials Science · Physics 2017-03-15 J. R. Trail , P. López Ríos , R. J. Needs

A non-relativistic multi-fluid plasma axisymmetric equilibrium model was developed recently to account for the presence of an energetic electron fluid in addition to thermal electron and ion fluids. The equilibrium formulation of a…

Plasma Physics · Physics 2021-03-31 Akio Ishida , Y. -K. Martin Peng , Wenjun Liu

A complete thermodynamical analysis for a non-reacting binary mixture exhibiting the features of a third grade fluid is analyzed. The constitutive functions are allowed to depend on the mass density of the mixture and the concentration of…

Mathematical Physics · Physics 2023-11-21 Matteo Gorgone , Patrizia Rogolino

The theory relevant to the study of matter in equilibrium with the radiation field is thermal quantum electrodynamics (TQED). We present a formulation of the theory, suitable for non relativistic fluids, based on a joint functional integral…

Quantum Physics · Physics 2009-11-13 Pascal R. Buenzli , Philippe A. Martin , Marc D. Ryser

Molecular dynamics simulations are used to model the thermal properties of a fluid containing solid nanoparticles (nanofluid). The flexibility of molecular simulation allows us to consider the effects of particle mass, particle-particle and…

Materials Science · Physics 2009-09-29 Mihail Vladkov , J. -L. Barrat

Starting from kinetic theory, we obtain a nonlinear dissipative formalism describing the nonequilibrium evolution of scalar colored particles coupled selfconsistently to nonabelian classical gauge fields. The link between the one-particle…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. Peralta-Ramos , E. Calzetta

We present a complete reciprocal description of particle motion inside multi-component fluids that extends the conventional Onsager formulation of non-equilibrium transport to systems where the thermodynamic forces are non-uniform on the…

Soft Condensed Matter · Physics 2019-05-01 Jérôme Burelbach

The nonextensive statistical ensembles are revisited for the complex systems with long-range interactions and long-range correlations. An approximation, the value of nonextensive parameter (1-q) is assumed to be very tiny, is adopted for…

Statistical Mechanics · Physics 2020-02-26 Yahui Zheng , Jiulin Du , Linxia Liu , Huijun Kong