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We review with a tutorial scope the information theory foundations of quantum statistical physics. Only a small proportion of the variables that characterize a system at the microscopic scale can be controlled, for both practical and…

统计力学 · 物理学 2007-05-23 R. Balian

Amyloid filaments are associated with neurodegenerative diseases such as Alzheimer's and Parkinson's. Simplified models of amyloid aggregation are crucial because the original mass-action equations involve numerous variables, complicating…

生物物理 · 物理学 2024-09-11 Xinyu Zhang , Haiyang Jia , Wuyue Yang , Liangrong Peng , Liu Hong

We present a new approach to the study of equilibrium properties in many-body quantum physics. Our method takes inspiration from Density Matrix Quantum Monte Carlo and incorporates new crucial features. First of all, the dynamics is…

量子物理 · 物理学 2022-01-06 Romain Chessex , Massimo Borrelli , Hans Christian Öttinger

The principle of equivalence postulating that an acceleration is indistinguishable from gravity by any experiment, is valid within families of particles having the same passive gravitational to inertial mass ratio $m_p/m_i$. Presently…

综合物理 · 物理学 2018-04-06 Clovis Jacinto de Matos , Murat Özer , Grzegorz Lukasz Izworsk

Thermodynamic relations are derived from first principles of mechanics for non-equilibrium processes. Since the key role herein is played by the law of increase of entropy, the latter is analyzed at first. It is shown that its derivation…

chao-dyn · 物理学 2008-02-03 J. Kumicak , X. de Hemptinne

After the justification of the maximum entropy approach for equilibrium thermodynamic system, and of a maximum path entropy algorithm for nonequilibrium thermodynamic systems by virtue of the principle of virtual work, we present in this…

统计力学 · 物理学 2007-12-18 Qiuping A. Wang

We address the emergence of entropy production in the non-equilibrium process of an open quantum system from the viewpoint of the environment. By making use of a dilation-based approach akin to Stinespring theorem, we derive an expression…

Laplace's first law of errors, which states that the frequency of an error can be represented as an exponential function of the error magnitude, was overlooked for many decades but was recently shown to describe the statistical behavior of…

统计力学 · 物理学 2025-01-13 Lucianno Defaveri , Eli Barkai

We will discuss the maximum entropy production (MaxEP) principle based on Jaynes' information theoretical arguments, as was done by Dewar (2003, 2005). With the help of a simple mathematical model of a non-equilibrium system, we will show…

统计力学 · 物理学 2009-11-13 Stijn Bruers

A generalized version of the Maximum Work Theorem is valid when the system is initially not at thermal equilibrium. In this work, we initially study the fraction of trajectories that violate this generalized theorem for a two simple…

统计力学 · 物理学 2017-09-15 Sourabh Lahiri , Arun M. Jayannavar , Anupam Kundu

We develop non-equilibrium theory by using averages in time and space as a generalized way to upscale thermodynamics in non-ergodic systems. The approach offers a classical perspective on the energy dynamics in fluctuating systems. The rate…

软凝聚态物质 · 物理学 2021-09-29 James E. McClure , Steffen Berg , Ryan T. Armstrong

The general framework of entropic dynamics is used to formulate a relational quantum dynamics. The main new idea is to use tools of information geometry to develop an entropic measure of the mismatch between successive configurations of a…

量子物理 · 物理学 2016-01-11 Selman Ipek , Ariel Caticha

The question of deriving general force/flux relationships that apply out of the linear response regime is a central topic of theories for nonequilibrium statistical mechanics. This work applies an information theory perspective to compute…

统计力学 · 物理学 2019-02-04 David M. Rogers

*First-principles derivation of the entropy production in erectric static conduction. *The second-order (symmetric) density matrix contributes to the entropy production. *New schemes of steady states formulated using a relaxation-type von…

统计力学 · 物理学 2011-03-31 Masuo Suzuki

With nontrivial entropy production, first passage process is one of the most common nonequilibrium process in stochastic thermodynamics. Using one dimensional birth and death precess as a model framework, approximated expressions of mean…

统计力学 · 物理学 2021-08-04 Yunxin Zhang

We develop a framework to test the Equivalence Principle (EP) under conditions where the quantum aspects of nature cannot be neglected, specifically in the context of interference phenomena with unstable particles. We derive the…

广义相对论与量子宇宙学 · 物理学 2013-06-25 Y. Bonder , E. Fischbach , H. Hernandez-Coronado , D. E. Krause , Z. Rohrbach , D. Sudarsky

We construct multiperiodic processes -- a simple example of stationary ergodic (but not mixing) processes over natural numbers that enjoy the vanishing entropy rate under a mild condition. Multiperiodic processes are supported on randomly…

信息论 · 计算机科学 2026-01-21 Łukasz Dębowski

The method of maximum entropy (ME) is extended to address the following problem: Once one accepts that the ME distribution is to be preferred over all others, the question is to what extent are distributions with lower entropy supposed to…

数学物理 · 物理学 2009-10-31 Ariel Caticha

In 1948, Koppe formulated an almost complete recipe for statistical-thermal models including particle production, formation and decay of resonances, temporal and thermal evolution of the interacting system, statistical approaches and…

核理论 · 物理学 2014-03-18 Abdel Nasser Tawfik

Recently, there has been a considerable progress on the issue of the thermodynamic second law, which is known as the law of entropy increase or irreversibility. In particular, a novel symmetry known as the Gallavotti-Cohen symmetry is found…

统计力学 · 物理学 2018-08-01 Hyunggyu Park