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We consider the statistical irreversibility and its compatibility with the reversible dynamics. The role played by the observation is analyzed in detail. It makes our previous proof for the second law of thermodynamics clearer. On this…

统计力学 · 物理学 2012-02-24 Qi-Ren Zhang

Firstly, we calculate quantitatively decrease of entropy by the known formulas in the ordering phenomena and nucleation of thermodynamics of microstructure. They show again that a necessary condition of decrease of entropy in isolated…

综合物理 · 物理学 2009-05-04 Yi-Fang Chang

We explore the notion of generated entropy in open quantum systems. We focus on the study of the discrete-time quantum walk on the line, from the entropy production perspective. We argue that the evolution of the coin can be modeled as an…

量子物理 · 物理学 2020-04-13 Andrés Vallejo , Alejandro Romanelli , Raúl Donangelo , Renato Portugal

We consider the entropy production of a strongly coupled bipartite system. The total entropy production can be partitioned into various components, which we use to define local versions of the Second Law that are valid without the usual…

统计力学 · 物理学 2022-09-29 Gavin E. Crooks , Susanne E. Still

Biological processes that are able to discriminate between different molecules consume energy and dissipate heat. They operate at different levels of fidelity and speed, and as a consequence there exist fundamental trade-offs between these…

统计力学 · 物理学 2025-02-28 Jonas Berx , Karel Proesmans

The second law of classical thermodynamics, based on the positivity of the entropy production, only holds for deterministic processes. Therefore the Second Law in stochastic quantum thermodynamics may not hold. By making a fundamental…

量子物理 · 物理学 2019-11-14 B. Ahmadi , S. Salimi , A. S. Khorashad

Starting from a plausible assumption about the Total Revenue concept, a system of economic agents, that simulates the exchange of goods, is studied. Following a methodology equivalent to that used in the statistical-mechanical determination…

物理与社会 · 物理学 2024-03-27 Juan Villegas-Febres

Econophysics, is based on the premise that some ideas and methods from physics can be applied to economic situations. We intend to show in this paper how a physics concept such as entropy can be applied to an economic problem. In so doing,…

统计金融 · 定量金融 2016-09-08 Adom Giffin

A speculative agent with Prospect Theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximize the expected utility of the round-trip profit net of transaction costs. The optimization…

数理金融 · 定量金融 2022-10-26 Alex S. L. Tse , Harry Zheng

Chater and MacKay [CM] derived an entropy function of state for exchange economies satisfying a list of axioms, and showed that a change of state of a system of such economies is possible if and only if their total entropy does not…

数学物理 · 物理学 2025-10-03 Robert S MacKay

Strand displacement and tile assembly systems are designed to follow prescribed kinetic rules (i.e., exhibit a specific time-evolution). However, the expected behavior in the limit of infinite time--known as thermodynamic equilibrium--is…

新兴技术 · 计算机科学 2017-09-26 David Doty , Trent A. Rogers , David Soloveichik , Chris Thachuk , Damien Woods

Thermodynamic selection is an indirect competition between agents feeding on the same energy resource and obeying the laws of thermodynamics. We examine scenarios of this selection, where the agent is modeled as a heat-engine coupled to two…

统计力学 · 物理学 2022-05-18 S. G. Babajanyan , E. V. Koonin , A. E. Allahverdyan

An axiomatic approach to macroeconomics based on the mathematical structure of thermodynamics is presented. It deduces relations between aggregate properties of an economy, concerning quantities and flows of goods and money, prices and the…

综合经济学 · 经济学 2025-06-18 N. J. Chater , R. S. MacKay

Statistical mechanics provides a useful analog for understanding the behavior of complex adaptive systems, including power markets and the power systems they intend to govern. Transaction-based control is founded on the conjecture that the…

适应与自组织系统 · 物理学 2007-05-23 David P. Chassin

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

统计力学 · 物理学 2017-10-25 Bernhard Altaner

Second law of thermodynamics is applied to a few electronic processes. It is seen that the second law of thermodynamics holds good for all except one mentioned here. The classical approach, based on exact equivalence of emission and…

综合物理 · 物理学 2007-05-23 R. C. Gupta , Ruchi Gupta , Sanjay Gupta

Traditional form of the second law of thermodynamics is strongly restricted by three conditions: One is the initial joint state of the system and surroundings should be a product state, so that there exists no initial correlations. The…

量子物理 · 物理学 2018-03-19 Ke-Xia Jiang , Yuan-Mou Li , Heng Fan

This is a light-hearted take at the the second law of thermodynamics.

科普物理 · 物理学 2013-01-10 Deepak Dhar

The chemical reactions are very complex, and include oscillation, condensation, catalyst and self-organization, etc. In these case changes of entropy may increase or decrease. The second law of thermodynamics is based on an isolated system…

综合物理 · 物理学 2008-07-03 Yi-Fang Chang

Cryptocurrency markets have attracted many interest for global investors because of their novelty, wide online availability, increasing capitalization and potential profits. In the econophysics tradition we show that many of the most…

物理与社会 · 物理学 2022-11-23 Noe Rodriguez-Rodriguez , Octavio Miramontes