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Development of thermodynamic induction up to second order gives a dynamical bifurcation for thermodynamic variables and allows for the prediction and detailed explanation of nonequilibrium phase transitions with associated spontaneous…

统计力学 · 物理学 2021-10-07 S. N. Patitsas

We analyze the thermodynamics of spherically symmetric thin-shell solutions to Einstein's equations, including solutions with negative interior mass. We show the inclusion of such solutions is essential for the thermodynamic consistency of…

广义相对论与量子宇宙学 · 物理学 2024-01-17 Demetrios Kotopoulis , Charis Anastopoulos

We present a thermodynamic formulation for scale-invariant systems based on the principle of extreme information. We create an analogy between these systems and the well-known thermodynamics of gases and fluids, and study as a compelling…

统计力学 · 物理学 2009-06-11 A. Hernando , D. Puigdomenech , D. Villuendas , C. Vesperinas

First and second order non-equilibrium thermodynamics are studied in the context of particle creation mechanism for homogeneous and isotropic FLRW model and a general formulation of the emergent scenario is investigated. Finally, the…

广义相对论与量子宇宙学 · 物理学 2017-10-19 Sourav Haldar , Pritikana Bhandari , Subenoy Chakraborty

The qualitative behavior of a thermodynamically consistent two-phase Stefan problem with surface tension and with or without kinetic undercooling is studied. It is shown that these problems generate local semiflows in well-defined state…

偏微分方程分析 · 数学 2015-05-27 Jan Pruess , Gieri Simonett , Rico Zacher

A viable approach towards Quantum Gravity is the Doubly Special Relativity (DSR) framework in which an observer-independent finite energy upper bound (or a finite smallest length scale) appears quite naturally. In this work, we have studied…

广义相对论与量子宇宙学 · 物理学 2023-05-19 Sudipta Das

We develop a global setting for modeling thermo-visco-elastic materials that satisfy the principles of thermodynamics and are properly invariant. This setting encompasses many known solid and fluid models, as well as new models with…

数学物理 · 物理学 2023-01-11 Hervé Le Dret , Annie Raoult

We use the Szekeres inhomogeneous relativistic models in order to fit supernova combined data sets. We show that with a choice of the spatial curvature function that is guided by current observations, the models fit the supernova data…

We investigate some fundamental features of a class of non-linear relativistic lagrangian field theories with kinetic self-coupling. We focus our attention upon theories admitting static, spherically symmetric solutions in three space…

高能物理 - 理论 · 物理学 2008-11-26 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

The Zeroth Law of Thermodynamics states that if two systems are in thermal equilibrium with a third one, then they are also in equilibrium with each other. This study explores not only the final state of thermal equilibrium between ideal…

统计力学 · 物理学 2026-02-13 Jonathas N. da Silva , Octavio D. Rodriguez Salmon , Minos A. Neto

Here we investigate how local properties of particles in a thermal bath influence the thermodynamics of the bath. We utilize nanothermodynamics, based on two postulates: that small systems can be treated self-consistently by coupling to an…

统计力学 · 物理学 2022-10-26 Ralph V. Chamberlin , Michael R. Clark , Vladimiro Mujica , George H. Wolf

In this paper we present an extensive study of the thermodynamic properties of the two-dimensional quantum Heisenberg antiferromagnet on the square lattice; the problem is tackled by the pure-quantum self-consistent harmonic approximation,…

统计力学 · 物理学 2009-10-30 Alessandro Cuccoli , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

We interpret the exact solutions previously obtained for spherically symmetric shells of liquid fluid in General Relativity in terms of the energies involved. We show that a certain parameter that was introduced into the solutions by the…

广义相对论与量子宇宙学 · 物理学 2021-04-16 Jorge L. deLyra

We use the quasilocal formalism of Brown and York, supplemented with counterterms, to investigate the thermodynamics of asymptotically flat black holes. We consider two families of exact regular black hole solutions, which are…

高能物理 - 理论 · 物理学 2024-04-25 Dumitru Astefanesei , Romina Ballesteros , Paulina Cabrera , Gonzálo Casanova , Raúl Rojas

We report a study of the homogeneous isotropic Boltzmann equation for an open system. We seek for nonequilibrium steady solutions in presence of forcing and dissipation. Using the language of weak turbulence theory, we analyze the…

混沌动力学 · 物理学 2015-03-17 Davide Proment , Miguel Onorato , Pietro Asinari , Sergey Nazarenko

Strongly interacting Fermi gasses at low density possess universal thermodynamic properties which have recently seen very precise $PVT$ measurements by a group at MIT. This group determined local thermodynamic properties of a system of…

量子气体 · 物理学 2015-11-30 George Ruppeiner

In this work we employ a recently devised metric within the Geometrothermodynamics program to study ordinary thermodynamic systems. The new feature of this metric is that, in addition to Legendre symmetry, it exhibits invariance under a…

数学物理 · 物理学 2013-03-07 H. Quevedo , F. Nettel , C. S. Lopez-Monsalvo , A. Bravetti

We consider the particle creation scenario in the dynamical Chern-Simons modified gravity in the presence of perfect fluid equation of state $p=(\gamma-1)\rho$. By assuming various modified entropies (Bekenstein, logarithmic, power law…

广义相对论与量子宇宙学 · 物理学 2018-10-15 Abdul Jawad , Shamaila Rani , Salman Rafique

We calculate density profiles for self-gravitating clusters of an ideal Fermi-Dirac gas with nonrelativistic energy-momentum relation and macroscopic mass at thermal equilibrium. Our study includes clusters with planar symmetry in…

统计力学 · 物理学 2022-09-14 Michael Kirejczyk , Gerhard Müller , Pierre-Henri Chavanis

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the temperature-dependent influence parameter instead of the van der…

数值分析 · 数学 2018-08-01 Jisheng Kou , Shuyu Sun