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相关论文: How and in What Sense Can the Entropy Be Measured?

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Entropy is a very useful concept from physics that tries to explain how a system behaves from a point of view of the thermodynamics. However, there are two ways to explain entropy, and it depends on if we are studying a microsystem or a…

综合金融 · 定量金融 2024-07-02 Martin Pomares Calero

Entropy is one of the most fundamental quantities in physics. For systems with few degrees of freedom, the value of entropy provides a powerful insight into its microscopic dynamics, such as the number, degeneracy and relative energies of…

介观与纳米尺度物理 · 物理学 2024-06-19 Eugenia Pyurbeeva , Jan A. Mol , Pascal Gehring

Evidence implies that basic laws of thermodynamics must be tested by experiments. In this paper, an experiment is designed to measure the entropy of a system with at least one known (measurable) equation of state, especially the gas…

综合物理 · 物理学 2007-05-23 Bin Zhou

Thermodynamic entropy is determined by a heat measurement through the Clausius equality. The entropy then formalizes a fundamental limitation of operations by the second law of thermodynamics. The entropy is also expressed as the Shannon…

统计力学 · 物理学 2015-06-17 Shin-ichi Sasa

This short book is an elementary course on entropy, leading up to a calculation of the entropy of hydrogen gas at standard temperature and pressure. Topics covered include information, Shannon entropy and Gibbs entropy, the principle of…

统计力学 · 物理学 2025-11-18 John C. Baez

In our derivation of the second law of thermodynamics from the relation of adiabatic accessibility of equilibrium states we stressed the importance of being able to scale a system's size without changing its intrinsic properties. This…

数学物理 · 物理学 2015-06-19 Elliott H. Lieb , Jakob Yngvason

An algorithm for measurement of entropy in multiparticle systems, based on recently published proposal of the present authors, is given. Dependence on discretization of the system and effects of multiparticle correlations are discussed in…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Bialas , W. Czyz

The microscopic explanation of entropy has been challenged from both experimental and theoretical point of view. The expression of entropy is derived from the first law of thermodynamics indicating that entropy or the second law of…

综合物理 · 物理学 2007-05-23 Jozsef Garai

We investigate the problem of the entropy of the mixture of sources. There is given an estimation of the entropy and entropy dimension of convex combination of measures. The proof is based on our alternative definition of the entropy based…

信息论 · 计算机科学 2011-10-31 Marek Smieja , Jacek Tabor

Entropy is a fundamental thermodynamic quantity indicative of the accessible degrees of freedom in a system. While it has been suggested that the entropy of a mesoscopic system can yield nontrivial information on emergence of exotic states,…

介观与纳米尺度物理 · 物理学 2020-01-23 Yaakov Kleeorin , Holger Thierschmann , Hartmut Buhmann , Antoine Georges , Laurens W. Molenkamp , Yigal Meir

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…

统计力学 · 物理学 2013-05-24 Amir Aghamohammadi , Amir H. Fatollahi , Mohammad Khorrami , Ahmad Shariati

Projective measurement can increase the entropy of a state $\rho$, the increased entropy is not only up to the basis of projective measurement, but also has something to do with the properties of the state itself. In this paper we define…

量子物理 · 物理学 2016-10-03 Xing Chen

Some bounds on the entropic informational quantities related to a quantum continual measurement are obtained and the time dependencies of these quantities are studied.

量子物理 · 物理学 2009-10-09 Alberto Barchielli , Giancarlo Lupieri

Entropy has emerged as a dynamic, interdisciplinary, and widely accepted quantitative measure of uncertainty across different disciplines. A unified understanding of entropy measures, supported by a detailed review of their theoretical…

概率论 · 数学 2025-03-21 Naveen Kumar , Ambesh Dixit , Vivek Vijay

By using entropy and entropy production, we calculate the steady flux of some phenomena. The method we use is a competition method, $S_S/\tau+\sigma={\it maximum}$, where $S_S$ is system entropy, $\sigma$ is entropy production and $\tau$ is…

统计力学 · 物理学 2016-07-26 Yong-Jun Zhang

Entropy is the measure of uncertainty in any data and is adopted for maximisation of mutual information in many remote sensing operations. The availability of wide entropy variations motivated us for an investigation over the suitability…

计算机视觉与模式识别 · 计算机科学 2014-05-26 S. K. Katiyar , P. V. Arun

Entanglement entropy is one of the most prominent measures in quantum physics. We show that it has an interesting ergotropic interpretation in terms of unitarily extracted work. It determines how much energy one can extract from a source of…

量子物理 · 物理学 2023-06-16 Dominik Šafránek

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

We propose a method to continually monitor the energy of a quantum system. We show that by having some previous knowledge of the system's dynamics, but not all of it, one can use the measured energy to determine many other quantities, such…

量子物理 · 物理学 2019-03-29 Gabriel P. Martins , Nadja K. Bernardes , Marcelo F. Santos

A brief discussion is given of the traditional version of the Maximum Entropy Method, including a review of some of the criticism that has been made in regard to its use in statistical inference. Motivated by these questions, a modified…

数据分析、统计与概率 · 物理学 2007-09-12 Robert Kariotis
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