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A new thermodynamic theory for optical multimode systems is proposed. Theory is based on a weighted Bose-Einstein law, and includes the state equation, the fundamental equation for the entropy and a metric to measure the accuracy of the…

光学 · 物理学 2024-04-02 Mario Zitelli

The goal of international trade theories is to explain the exchange of goods and services between different countries, aiming to benefit from it. Albeit the idea is very simple and known since ancient history, smart policy and business…

综合金融 · 定量金融 2017-07-31 Roberto De Luca , Marco Di Mauro , Angelo Falzarano , Adele Naddeo

The second law of thermodynamics implies a relationship between the net entropy export by the Earth and its internal irreversible entropy production. The application of this constraint for the purpose of understanding Earth's climate is…

大气与海洋物理 · 物理学 2022-01-19 Martin S. Singh , Morgan E O'Neill

This paper introduces an approach to gas-like models, from the concept of entropy, using the money stock data of two economic agents, in this case of two countries, which carry out market actions (trading) in two theoretical scenarios: in…

物理与社会 · 物理学 2024-06-25 Henry D. Vera Ramirez

Behavior in the context of game theory is described as a natural process that follows the 2nd law of thermodynamics. The rate of entropy increase as the payoff function is derived from statistical physics of open systems. The thermodynamic…

综合物理 · 物理学 2011-10-27 Jani Anttila , Arto Annila

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

交易与市场微观结构 · 定量金融 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

This paper investigates applicability of thermodynamic concepts and principles to competitive systems. We show that Tsallis entropies are suitable for characterisation of systems with transitive competition when mutations deviate from Gibbs…

适应与自组织系统 · 物理学 2014-03-10 A. Y. Klimenko

The irreversible entropy increase described by the second law of thermodynamics is fundamentally tied to thermalization and the emergence of equilibrium. In the first part of our work (Ref: arXiv.2503.04152), we constructed an isolated gas…

量子物理 · 物理学 2025-11-24 Xue-Yi Guo

After presenting possible motives for fighting against the second law of thermodynamics, several attempts to beat this law are analyzed. The second law wins, but an interesting interpretation of it emerges. This interpretation uses the…

adap-org · 物理学 2015-06-30 Jorge Berger

We consider a pair of traders in a market where the information available to the second trader is a strict subset of the information available to the first trader. The traders make prices based on the information available concerning a…

数理金融 · 定量金融 2024-01-24 George Bouzianis , Lane P. Hughston , Leandro Sánchez-Betancourt

The essence of the second law of classical thermodynamics is the `entropy principle' which asserts the existence of an additive and extensive entropy function, S, that is defined for all equilibrium states of thermodynamic systems and whose…

数学物理 · 物理学 2007-05-23 Elliott H. Lieb , Jakob Yngvason

This article describes the third law of thermodynamics. This law is often poorly known and is often decried, or even considered optional and irrelevant to describe weather and climate phenomena. This, however, is inaccurate and contrary to…

大气与海洋物理 · 物理学 2019-12-02 Pascal Marquet

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

投资组合管理 · 定量金融 2009-09-23 Michael J. Neely

Development of thermodynamic induction up to second order gives a dynamical bifurcation for thermodynamic variables and allows for the prediction and detailed explanation of nonequilibrium phase transitions with associated spontaneous…

统计力学 · 物理学 2021-10-07 S. N. Patitsas

Growing economic inequalities are observed in several countries throughout the world. Following Pareto, the power-law structure of these inequalities has been the subject of much theoretical and empirical work. But their nonequilibrium…

物理与社会 · 物理学 2016-05-30 Matteo Smerlak

In this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with general reference velocity is…

数值分析 · 数学 2018-08-15 Jisheng Kou , Shuyu Sun

We present some novel thermodynamic ideas based on the Maupertuis principle. By considering Hamiltonians written in terms of appropriate action-angle variables we show that thermal states can be characterized by the action variables and by…

统计力学 · 物理学 2008-04-15 V. Garcia-Morales , J. Pellicer , J. A. Manzanares

We have presented a set of laws of entanglement thermodynamics for $T\bar{T}$-deformed CFTs and in general for $T^2$-deformed field theories. In particular, the first law of this set, states that although we are dealing with a non-trivial…

高能物理 - 理论 · 物理学 2023-02-21 Kuroush Allameh , Amin Faraji Astaneh

Many fruitful analogies have emerged between the theories of quantum entanglement and thermodynamics, motivating the pursuit of an axiomatic description of entanglement akin to the laws of thermodynamics. A long-standing open problem has…

量子物理 · 物理学 2023-02-17 Ludovico Lami , Bartosz Regula

The field-dependent equilibrium thermodynamics is derived with two methods: either by using the potential formalism either by the statistical method. Therefore, Pontrjagin's extremum principle of control theory is applied to an extended…

综合物理 · 物理学 2007-05-23 W. D. Bauer