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Quantum many-body states that frequently appear in physics often obey an entropy scaling law, meaning that an entanglement entropy of a subsystem can be expressed as a sum of terms that scale linearly with its volume and area, plus a…

Quantum Physics · Physics 2021-05-26 Isaac H. Kim

As recently manifested , the quench dynamics of isolated quantum systems consisting of a finite number of particles, is characterized by an exponential spreading of wave packets in the many-body Hilbert space. This happens when the…

Chaotic Dynamics · Physics 2020-03-23 Samy Mailoud , Fausto Borgonovi , Felix Izrailev

A non-vanishing entropy production rate is one of the defining characteristics of any non-equilibrium system, and several techniques exist to determine this quantity directly from experimental data. The short-time inference scheme, derived…

Statistical Mechanics · Physics 2022-11-29 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

In the general process of eliminating dynamic variables in Markovian models, there exists a difference in the irreversible entropy production between the original and reduced dynamics. We call this difference the hidden entropy production,…

Statistical Mechanics · Physics 2022-06-28 Kyogo Kawaguchi , Yohei Nakayama

We study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two examples of stopping times: first-passage times of entropy…

Statistical Mechanics · Physics 2017-02-28 Izaak Neri , Édgar Roldán , Frank Jülicher

Entropy production is often interpreted as a proxy for microscopic disorder or environmental roughness in stochastic systems. We test this interpretation using controlled simulations of overdamped stochastic dynamics on curved surfaces in…

Statistical Mechanics · Physics 2026-02-23 Patrick Romanescu

The time variation of entropy, as an alternative to the variance, is proposed as a measure of the diffusion rate. It is shown that for linear and time-translationally invariant systems having a large-time limit for the density, at large…

Statistical Mechanics · Physics 2013-05-24 Amir Aghamohammadi , Amir H. Fatollahi , Mohammad Khorrami , Ahmad Shariati

We numerically study a one-dimensional system of $N$ classical localized planar rotators coupled through interactions which decay with distance as $1/r^\alpha$ ($\alpha \ge 0$). The approach is a first principle one (\textit{i.e.}, based on…

Statistical Mechanics · Physics 2013-11-05 Leonardo J. L. Cirto , Vladimir R. V. Assis , Constantino Tsallis

The possible distinction between inanimate and living matter has been of interest to humanity since thousands of years. Clearly, such a rich question can not be answered in a single manner, and a plethora of approaches naturally do exist.…

Statistical Mechanics · Physics 2014-03-24 Constantino Tsallis

Starting out with an entropy identity, the entropy flux, the entropy production and the corresponding Gibbs and Gibbs-Duhem equations of general-covariant conti\-nuum thermodynamics are established. Non-dissipative materials and equilibria…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Wolfgang Muschik , Horst-Heino v. Borzeszkowski

The long standing contrast between Boltzmann's and Gibbs' approach to statistical thermodynamics has been recently rekindled by Dunkel and Hilbert [1], who criticize the notion of negative absolute temperature (NAT), as a misleading…

Statistical Mechanics · Physics 2015-08-31 Loris Ferrari

Mutual equilibrium in long-range interacting systems which involve nonadditive energy, is effectively described in terms of entropy with a nonadditive composition rule. As an example, long range Ising model is considered. The generality of…

Statistical Mechanics · Physics 2016-08-31 Ramandeep S. Johal

The nonequilibrium thermodynamics feature of a Brownian motor is investigated by obtaining exact time-dependent solutions. This in turn enables us to investigate not only the long time property (steady-state) but also the short time the…

Statistical Mechanics · Physics 2022-05-23 Mesfin Taye

The formal consideration of the concept of interaction in thermodynamic analysis makes it possible to deduce, in the broadest terms, new results related to the coevolution of interacting systems, irrespective of their distance from…

Populations and Evolution · Quantitative Biology 2008-05-04 Antonio Leon

All of the basic microsopic physical laws are time reversible. In contrast, the second law of thermodynamics, which is a macroscopic physical representation of the world, is able to describe irreversible processes in an isolated system…

Chemical Physics · Physics 2015-06-19 Roland Riek

The total entropy production and its three constituent components are described both as fluctuating trajectory-dependent quantities and as averaged contributions in the context of the continuous Markovian dynamics, described by stochastic…

Statistical Mechanics · Physics 2015-06-04 Richard E. Spinney , Ian J. Ford

We present a path toward determining the statistical origin of the thermodynamic limit for systems with long-range interactions. We assume throughout that the systems under consideration have thermodynamic properties given by the Tsallis…

Statistical Mechanics · Physics 2015-06-18 Nikos Kalogeropoulos

A typical strategy of realizing an adiabatic change of a many-particle system is to vary parameters very slowly on a time scale $t_\text{r}$ much larger than intrinsic equilibration time scales. In the ideal case of adiabatic state…

Statistical Mechanics · Physics 2021-03-24 Philipp S. Weiß , Dennis Hardt , Achim Rosch

Identifying the full entropy production of active particles is a challenging task. We introduce a microscopic, thermodynamically consistent model, which leads to active Ornstein-Uhlenbeck statistics in the continuum limit. Our minimal model…

Statistical Mechanics · Physics 2023-12-15 Jonas H. Fritz , Udo Seifert

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

Quantum Physics · Physics 2024-10-07 Kacper Prech , Patrick P. Potts
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