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By using the Jacobi metric of the configuration space, and assuming ergodicity, we calculate the Boltzmann entropy $S$ of a finite-dimensional system around a non-degenerate critical point of its potential energy $V$. We compare $S$ with…

数学物理 · 物理学 2009-11-11 Nikos Kalogeropoulos

Entropy might be a not well defined concept if the system can undergo transformations involving stationary nonequilibria. It might be analogous to the heat content (once called ``caloric'') in transformations that are not isochoric (i.e.…

统计力学 · 物理学 2007-05-23 Giovanni Gallavotti

This thesis focuses on three fundamental aspects of biological systems; namely, entropy production, Bayesian mechanics, and the free-energy principle. The contributions are threefold: 1) We compute the entropy production for a greater class…

数学物理 · 物理学 2024-10-16 Lancelot Da Costa

The ratio of shear viscosity to entropy density, $\eta/s$, is computed in various holographic geometries that break translation invariance (but are isotropic). The shear viscosity does not have a hydrodynamic interpretation in such…

高能物理 - 理论 · 物理学 2016-04-20 Sean A. Hartnoll , David M. Ramirez , Jorge E. Santos

The causal entropic principle has been proposed as a superior alternative to the anthropic principle for understanding the magnitude of the cosmological constant. In this approach, the probability to create observers is assumed to be…

高能物理 - 理论 · 物理学 2008-11-26 James M. Cline , Andrew R. Frey , Gilbert Holder

We discuss the entropy generation in quantum tunneling of a relativistic particle under the influence of a time varying force with the help of squeezing formalism. It is shown that if one associates classical coarse grained entropy to the…

广义相对论与量子宇宙学 · 物理学 2008-02-03 A. Feinstein , M. A. Pérez Sebastián

The thermalization process is studied in an expanding parton gas using the Boltzmann equation with two types of collision terms. In the relaxation time approximation we determine the criteria under which a time-dependent relaxation time…

高能物理 - 唯象学 · 物理学 2009-09-25 H. Heiselberg , X. N. Wang

Warm-blooded vertebrates accumulate approximately $\Nstar \approx 10^9$ cardiac cycles over a natural lifetime, a striking empirical regularity first quantified by Lindstedt and Calder yet lacking a physical interpretation. We propose that…

统计力学 · 物理学 2026-04-28 Mesfin Taye

Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately tied with the fundamental laws of thermodynamics, embodying a tool to extend thermodynamic considerations all the way to non-equilibrium…

量子物理 · 物理学 2022-02-08 Gabriel T. Landi , Mauro Paternostro

In this paper we calculate the entropy production of a relativistic binary mixture of inert dilute gases using kinetic theory. For this purpose we use the covariant form of Boltzmann's equation which, when suitably transformed, yields a…

统计力学 · 物理学 2015-09-10 Valdemar Moratto , A. L. Garcia-Perciante , L. S. Garcia-Colin

The aerosol formation is associated with the rupture of the liquid plug during the pulmonary airway reopening. The fluid dynamics of this process is difficult to predict because the rupture involved complex liquid-gas transition. Equation…

流体动力学 · 物理学 2021-03-16 Bing He , Chunyan Qin , Wenbo Chen , Binghai Wen

One among the most intriguing results coming from the application of statistical mechanics to the study of brain is the understanding that it, as a dynamical system, is inherently out of equilibrium. In the realm of non-equilibrium…

无序系统与神经网络 · 物理学 2025-12-01 Dario Lucente , Giacomo Gradenigo , Luca Salasnich

We study the entropy production rate (EPR) of aligning self-propelled particles which undergo a flocking transition towards a polarized collective motion. In our thermodynamically consistent lattice model, individual self-propulsion is the…

统计力学 · 物理学 2025-11-18 Tal Agranov , Robert L. Jack , Michael E. Cates , Étienne Fodor

This study uses a one dimensional fluid dynamics arterial network model to infer changes in hemodynamic quantities associated with pulmonary hypertension in mice. Data for this study include blood flow and pressure measurements from the…

Trying to identify the entropy production within a cell has been part of debates and studies in the last century. First the idea was to make a resemblance of a cell with a Carnot engine, which is the most thermodynamically perfect machine.…

生物物理 · 物理学 2017-12-13 Araceli Venegas-Gomez

To study the compressional forces exerted by a bundle of living stiff filaments pressing on a surface, akin to the case of an actin bundle in filopodia structures, we have performed particulate Molecular Dynamics simulations of a grafted…

软凝聚态物质 · 物理学 2015-06-17 Sanoop Ramachandran , Jean-Paul Ryckaert

We perform a study on quantum entropy production, different kinds of correlations, and their interplay in the driven Caldeira-Leggett model of quantum Brownian motion. The model, taken with a large but finite number of bath modes, is…

量子物理 · 物理学 2021-11-24 Alessandra Colla , Heinz-Peter Breuer

Computer simulations of a compressible fluid, convecting heat in two dimensions, suggest that, within a range of Rayleigh numbers, two distinctly different, but stable, time-dependent flow morphologies are possible. The simpler of the flows…

混沌动力学 · 物理学 2020-05-22 V. M. Castillo , Wm. G. Hoover

Out-of-equilibrium systems continuously generate entropy, with its rate of production being a fingerprint of non-equilibrium conditions. In small-scale dissipative systems subject to thermal noise, fluctuations of entropy production are…

统计力学 · 物理学 2023-01-19 Prajwal Padmanabha , Daniel Maria Busiello , Amos Maritan , Deepak Gupta

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

广义相对论与量子宇宙学 · 物理学 2024-03-20 Soumya Chakrabarti