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Irreversible processes accomplished in a fixed time involve nonlinearly coupled flows of matter, energy, and information. Here, using entropy production as an example, we show how thermodynamic uncertainty relations and speed limits on…

Statistical Mechanics · Physics 2021-05-12 Schuyler B. Nicholson , Jason R. Green

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

Statistical Mechanics · Physics 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

The mathematical properties associated with the widely accepted concept of the extensivity of many of the common thermodynamic variables are examined and some of their consequences considered. The possible conflict between some of these and…

General Physics · Physics 2007-06-28 J. Dunning-Davies

A hydrodynamic theory is formulated for buoyancy-driven ("thermal") granular convection, recently predicted in molecular dynamic simulations and observed in experiment. The limit of a dilute flow is considered. The problem is fully…

Pattern Formation and Solitons · Physics 2009-11-07 Xiaoyi He , Baruch Meerson , Gary Doolen

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · Physics 2008-02-03 Z. Hens , X. de Hemptinne

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

Statistical thermodynamics is valuable as a conceptual structure that shapes our thinking about equilibrium thermodynamic states. A cloud of unresolved questions surrounding the foundations of the theory could lead an impartial observer to…

Statistical Mechanics · Physics 2025-10-31 O. B. Ericok , J. K. Mason

We study the drag force on objects moving in a Fermi superfluid at velocities on the order of the Landau velocity $v_L$. The expectation has been that $v_L$ is the critical velocity beyond which the drag force starts to increase towards its…

Superconductivity · Physics 2018-10-24 J. A. Kuorelahti , S. M. Laine , E. V. Thuneberg

Thermal motions in the 2D Lennard-Jones liquid near solidification are studied at equilibrium and under shear flow conditions. At the temperatures of the study, the liquid is significantly aggregated. On times of few to few tens of…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Alexander Z. Patashinski , Rafal Orlik , Mark A. Ratner

We study thermodynamics of a heat-conducting ideal gas system. The study is based on i) the first law of thermodynamics from action formulation which expects heat-dependence of energy density and ii) the existence condition of a (local)…

Statistical Mechanics · Physics 2024-07-18 Hyeong-Chan Kim

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains…

High Energy Physics - Theory · Physics 2010-01-22 Paul Romatschke

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

Statistical Mechanics · Physics 2016-10-05 P. E. G. Assis

In this paper the motion of two-phase, incompressible, viscous fluids with surface tension is investigated. Three cases are considered: (1) the case of heat-conducting fluids, (2) the case of isothermal fluids, and (3) the case of Stokes…

Analysis of PDEs · Mathematics 2016-12-19 Gieri Simonett , Mathias Wilke

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

We study the dynamics of particles in a multi-component 2d Lennard-Jones (LJ) fluid in the limiting case where {\it all the particles are different} (APD). The equilibrium properties of this APD system were studied in our earlier work…

Soft Condensed Matter · Physics 2016-06-22 Lenin S. Shagolsem , Yitzhak Rabin

We develop an approach to liquid thermodynamics based on collective modes. We perform extensive molecular dynamics simulations of noble, molecular and metallic liquids and provide the direct evidence that liquid energy and specific heat are…

Soft Condensed Matter · Physics 2017-03-08 L. Wang , C. Yang , M. T. Dove , Yu. D. Fomin , V. V. Brazhkin , K. Trachenko

Equilibrium thermodynamics is grounded in the law of energy conservation, with a specific focus on how systems exchange energy with their environment during transitions between equilibrium states. These transitions are typically…

Statistical Mechanics · Physics 2024-08-19 Karol Makuch

We review equilibrium properties for the dynamics of a single particle evolving in a visco--elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the…

Statistical Mechanics · Physics 2015-01-23 Étienne Fodor , Denis S. Grebenkov , Paolo Visco , Frédéric van Wijland

The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by St\"uckelberg. This covariant approach leads to a relativistic formulation of the…

Statistical Mechanics · Physics 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

We study fluctuations of pressure in equilibrium for classical particle systems. In equilibrium statistical mechanics, pressure for a microscopic state is defined by the derivative of a thermodynamic function or, more mechanically, through…

Statistical Mechanics · Physics 2018-10-05 Ken Hiura , Shin-ichi Sasa