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The necessary information for specifying a complex system may not be completely accessible to us, i.e., to mathematical treatments. This is not to be confounded with the incompleteness of our knowledge about whatever systems or nature,…

统计力学 · 物理学 2007-05-23 Qiuping A. Wang

We investigate fundamental connections between thermodynamics and quantum information theory. First, we show that the operational framework of thermal operations is nonequivalent to the framework of Gibbs-preserving maps, and we comment on…

量子物理 · 物理学 2016-07-13 Philippe Faist

In the course of computer modeling of the most probable stationary macrostates of non-ergodic closed systems, a forecast was obtained about the existence of limits of applicability of the basic axiomatic postulate of statistical physics,…

统计力学 · 物理学 2024-11-18 Vladimir Savukov

We examine the question of whether the formal expressions of equilibrium statistical mechanics can be applied to time independent non-dissipative systems that are not in true thermodynamic equilibrium and are nonergodic. By assuming the…

统计力学 · 物理学 2007-11-09 Stephen R. Williams , Denis J. Evans

We develop a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities, such as free energy, energy, statistical mechanical entropy, and specific heat, into algorithmic…

信息论 · 计算机科学 2009-04-09 Kohtaro Tadaki

We provide a unified thermodynamic formalism describing information transfers in autonomous as well as nonautonomous systems described by stochastic thermodynamics. We demonstrate how information is continuously generated in an auxiliary…

统计力学 · 物理学 2014-08-06 Jordan M. Horowitz , Massimiliano Esposito

In this paper I propose a new way for counting the microstates of a system out of equilibrium. As, according to quantum mechanics, things happen as if a given particle can be found in more than one state at once, I extend this concept to…

量子物理 · 物理学 2009-11-13 Norton G. de Almeida

The standard assumption for the equilibrium microcanonical state in quantum mechanics, that the system must be in one of the energy eigenstates, is weakened so as to allow superpositions of states. The weakened form of the microcanonical…

量子物理 · 物理学 2007-05-23 Dorje C Brody , Daniel W Hook , Lane P Hughston

For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of transitions between states. The concept…

统计力学 · 物理学 2012-05-21 Udo Seifert

The paper analyzes the probability distribution of the occupancy numbers and the entropy of a system at the equilibrium composed by an arbitrary number of non-interacting bosons. The probability distribution is derived both by tracing out…

量子物理 · 物理学 2024-01-01 Arnaldo Spalvieri

For classical discrete systems under constant composition, a set of microscopic state dominantly contributing to thermodynamically equilibrium structure should depend on temperature and energy through Boltzmann factor, exp(-bE). Despite…

统计力学 · 物理学 2019-09-11 Shouno Ohta , Ryogo Miyake , Koretaka Yuge

A definition of the thermodynamic entropy based on the time-dependent probability distribution of the macroscopic variables is developed. When a constraint in a composite system is released, the probability distribution for the new…

统计力学 · 物理学 2016-11-23 Robert H. Swendsen

Systems with a long-term stationary state that possess as a spatio-temporally fluctuation quantity $\beta$ can be described by a superposition of several statistics, a "super statistics". We consider first, the Gamma, log-normal and…

统计力学 · 物理学 2015-06-05 O. Obregón , A. Gil-Villegas

I argue here that both the first and second laws of thermodynamics, generally understood to be quintessentially physical in nature, can be equally well described as being about certain types of information without the need to invoke…

数据分析、统计与概率 · 物理学 2013-10-02 V. J. Vieland

We show that macroscopic irreversible thermodynamics for viscous fluids can be derived from exact information-theoretic thermodynamic identities valid at the microscale. Entropy production, in particular, is a measure of the loss of…

统计力学 · 物理学 2025-02-17 Danilo Forastiere , Francesco Avanzini , Massimiliano Esposito

For classical discrete systems under constant composition, it has been considered that genuine thermodynamic variables such as free energy cannot be generally determined from information about a single or a few selected microscopic states.…

统计力学 · 物理学 2018-09-05 Koretaka Yuge , Shouno Ohta

We describe the universe as a single entangled ensemble of quantum particles. The total entropy of this world ensemble, which can be expressed as a sum of information, thermodynamic and entanglement components, is assumed to be always zero.…

综合物理 · 物理学 2018-05-15 Merab Gogberashvili

This monograph attempts a theory of every 'thing' that can be distinguished from other things in a statistical sense. The ensuing statistical independencies, mediated by Markov blankets, speak to a recursive composition of ensembles (of…

神经元与认知 · 定量生物学 2019-06-26 Karl Friston

In the theory of special relativity, energy can be found in two forms: kinetic energy and rest mass. Potential energy of a body is actually stored under the form of rest mass, interaction energy too, temperature is not. Information acquired…

综合物理 · 物理学 2024-04-17 D. Lairez

We have considered a model of a small finite system with internal particles and surface degrees of freedom. All the main statistical distributions were explicitly obtained, on a pre thermodynamic limit basis. The concept of temperature or…

统计力学 · 物理学 2025-08-11 D. M. Naplekov , V. V. Yanovsky