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The shear viscosity is a fundamental transport property of matter. Here we derive a general theory of the viscosity of gases based on the relativistic Langevin equation (deduced from a relativistic Lagrangian) and nonaffine linear response…

High Energy Physics - Phenomenology · Physics 2024-11-08 Alessio Zaccone

Continuum-type constitutive relations of odd matter need to be formulated according to the second law of thermodynamics. Based on the primitive thermodynamics of Edelen, a procedure admitting most general relations, is outlined for…

Soft Condensed Matter · Physics 2024-10-31 Martin Ostoja-Starzewski

New solutions are found for the non-relativistic hydrodynamical equations. These solutions describe expanding matter with a Gaussian density profile. In the simplest case, thermal equilibrium is maintained without any interaction, the…

Nuclear Theory · Physics 2009-10-31 P. Csizmadia , T. Csorgo , B. Lukacs

We argue, physically and formally, that existing diffusive models of noise yield inaccurate microscopic descriptions of nonequilibrium current fluctuations. The theoretical shortfall becomes pronounced in quantum-confined metallic systems,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Green , M. P. Das

We give meaning to the first and second laws of thermodynamics in case of mesoscopic out-of-equilibrium systems which are driven by diffusion processes. The notion of the entropy production is analyzed. The role of the Helmholtz extremum…

Statistical Mechanics · Physics 2008-11-26 Piotr Garbaczewski

We present coordinated formulations of local thermodynamical equilibrium conditions at three levels, namely the macroscopic one of classical thermodynamics, the mesoscopic one of hydrodynamical fluctuations and the microscopic one of…

Mathematical Physics · Physics 2014-03-05 Geoffrey L. Sewell

The fluctuations are termed mesoscopic, when their typical size is essentially larger then the average distance between the nearest neighbors, while being much smaller than the overall system size. Since the features of mesoscopic…

Statistical Mechanics · Physics 2026-01-23 V. I. Yukalov , E. P. Yukalova

Recent developments in the theory of pure neutron matter and experiments concerning the symmetry energy of nuclear matter, coupled with recent measurements of high-mass neutron stars, now allow for relatively tight constraints on the…

Solar and Stellar Astrophysics · Physics 2016-04-20 James M. Lattimer , M. Prakash

The continuum equations of fluid mechanics are rederived with the intention of keeping certain mechanical and thermodynamic concepts separate. A new "mechanical" mass density is created to be used in computing inertial quantities, whereas…

Fluid Dynamics · Physics 2017-01-25 Melissa Morris

A picture for thermodynamics of the glassy state is introduced. It assumes that one extra parameter, the effective temperature, is needed to describe the glassy state. This explains the classical paradoxes concerning the Ehrenfest relations…

Disordered Systems and Neural Networks · Physics 2009-10-31 Th. M. Nieuwenhuizen

For a fluid of convex hard particles, characterized by a length scale $\sigma_\text{min}$ and an anisotropy parameter $\epsilon$, we develop a formalism allowing one to relate thermodynamic quantities to the body's shape. In a first step…

Statistical Mechanics · Physics 2025-06-17 Thomas Franosch , Cristiano De Michele , Rolf Schilling

The new mathematical framework based on the free energy of pure classical fluids presented in [R. D. Rohrmann, Physica A 347, 221 (2005)] is extended to multi-component systems to determine thermodynamic and structural properties of…

Statistical Mechanics · Physics 2008-11-26 R. D. Rohrmann , J. Zorec

In the scientific and engineering literature, the second law of thermodynamics is expressed in terms of the behavior of entropy in reversible and irreversible processes. According to the prevailing statistical mechanics interpretation the…

Quantum Physics · Physics 2007-05-23 Elias P. Gyftopoulos , Gian Paolo Beretta

We consider an effective field theory description of beyond-quasi-particle excitations aiming to associate the transport properties of the system with the spectral density of states. Tuning various properties of the many-particle…

High Energy Physics - Phenomenology · Physics 2016-03-30 M. Horváth , A. Jakovác

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

Mathematically rigorous derivation of the hadron matter equation of state within the induced surface and curvature tensions approach is worked out. Such an equation of state allows one to go beyond the Van der Waals approximation for the…

Nuclear Theory · Physics 2020-12-22 Nazar S. Yakovenko , Kyrill A. Bugaev , Larissa V. Bravina , Eugene E. Zabrodin

With regard to the three basic states of matter (solid, liquid, gas), the calculation of the heat capacity of liquids in a general form has been considered one of the deepest and most interesting challenges in condensed matter physics, due…

Soft Condensed Matter · Physics 2025-07-04 M. Y. Esmer , Bahtiyar A. Mamedov

The profile of a neutron star probes a very large range of densities, from the density of iron up to several times the density of saturated nuclear matter, and thus no theory of hadrons can be considered reliable if extended to those…

Nuclear Theory · Physics 2025-05-20 Francesca Sammarruca , Tomiwa Ajagbonna

The thermodynamics of an electrically charged, multicomponent fluid with spontaneous electric dipoles and magnetic moments is analysed in the presence of electromagnetic fields. Taking into account the chemical composition of the current…

Statistical Mechanics · Physics 2015-06-15 Sylvain D. Brechet , Jean-Philippe Ansermet

Building on the recent solution for the spectrum of the non-commutative well in two dimensions, the thermodynamics that follows from it is computed. In particular the focus is put on an ideal fermion gas confined to such a well. At low…

High Energy Physics - Theory · Physics 2008-12-18 F G Scholtz , J Govaerts