English
Related papers

Related papers: Statistical ensembles for money and debt

200 papers

We consider a simple model of a closed economic system where the total money is conserved and the number of economic agents is fixed. In analogy to statistical systems in equilibrium, money and the average money per economic agent are…

Statistical Mechanics · Physics 2009-10-31 Anirban Chakraborti , Bikas K. Chakrabarti

Depending on the exact experimental conditions, the thermodynamic properties of physical systems can be related to one or more thermostatistical ensembles. Here, we survey the notion of thermodynamic temperature in different statistical…

Statistical Mechanics · Physics 2016-05-05 Peter Hänggi , Stefan Hilbert , Jörn Dunkel

By treating the financial market as a thermodynamic system, we establish a one-to-one correspondence between thermodynamic variables and economic quantities. Measured by the expected loss under the worst-case scenario, financial risk caused…

Risk Management · Quantitative Finance 2019-04-02 Yu Feng

I present an unbiased method of mapping particles to distribution functions and vice versa. This method alone defines the canonical formulation of statistical mechanics, since it can be used to derive the principle of maximum entropy in…

Astrophysics of Galaxies · Physics 2026-03-06 Jun Yan Lau

The one-dimensional deterministic economic model recently studied by Gonzalez-Estevez et al. [Physica A 387, 4367 (2008)] is considered on a two-dimensional square lattice with periodic boundary conditions. In this model, the evolution of…

General Finance · Quantitative Finance 2015-05-13 J. Gonzalez-Estevez , M. G. Cosenza , O. Alvarez-Llamoza , R. Lopez-Ruiz

A statistical generalization is made of microeconomics in the spirit of going from classical to statistical mechanics. The price and quantity of every commodity1 traded in the market, at each instant of time, is considered to be an…

General Finance · Quantitative Finance 2012-12-03 Belal E. Baaquie

Models in econophysics, i.e., the emerging field of statistical physics that applies the main concepts of traditional physics to economics, typically consist of large systems of economic agents who are characterized by the amount of money…

Probability · Mathematics 2017-03-08 Nicolas Lanchier

In this work, an ensemble of economic interacting agents is considered. The agents are arranged in a linear array where only local couplings are allowed. The deterministic dynamics of each agent is given by a map. This map is expressed by…

General Finance · Quantitative Finance 2008-12-02 R. Lopez-Ruiz , J. Gonzalez-Estevez , M. G. Cosenza , J. R. Sanchez

Recently, in order to explore the mechanism behind wealth or income distribution, several models have been proposed by applying principles of statistical mechanics. These models share some characteristics, such as consisting of a group of…

Physics and Society · Physics 2008-12-02 Yougui Wang , Ning Ding , Ning Xi

Economic systems are similar with physic systems for their large number of individuals and the exist of equilibrium. In this paper, we present a model applying the equilibrium statistical model in economic systems. Consistent with…

General Finance · Quantitative Finance 2015-04-17 Zhiwu Zheng

The Kinetic Gas Theory like two-agent money exchange models, recently introduced in the Econophysics of Wealth distributions, are revisited. The emergence of Boltzmann-Gibbs like distribution of individual money to Pareto's law in the tail…

Physics and Society · Physics 2009-11-11 Abhijit Kar Gupta

We investigate the unbiased model for money exchanges: agents give at random time a dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a geometric distribution of wealth (shown empirically by…

Probability · Mathematics 2022-08-12 Fei Cao , Pierre-Emmanuel Jabin

This paper applies the formalism of classical, Gibbs-Boltzmann statistical mechanics to the phenomenon of non-thermal damage. As an example, a non-thermal fiber-bundle model with the global uniform (meanfield) load sharing is considered.…

Statistical Mechanics · Physics 2008-10-01 S. G. Abaimov

We propose a field-theoretic framework that models money-debt dynamics in economic systems through a direct analogy to particle-hole creation in condensed matter physics. In this formulation, issuing credit generates a symmetric pair-money…

General Economics · Economics 2025-04-21 Bumned Soodchomshom

For studying the thermodynamic properties of systems using statistical mechanics we propose an ensemble that lies in between the familiar canonical and microcanonical ensembles. From a comparative study of these ensembles we conclude that…

Statistical Mechanics · Physics 2007-05-23 R. P. Venkataraman

When dealing with certain kind of complex phenomena the theoretician may face some difficulties -- typically a failure to have access to information for properly characterize the system -- for applying the full power of the standard…

Statistical Mechanics · Physics 2007-05-23 Roberto Luzzi , Áurea R. Vasconcellos , J. Galvão Ramos

This study presents a computational and theoretical framework inspired by thermodynamic principles to analyze the dynamics of economic inflation within adiabatic and non-adiabatic systems. In a framework referred to as developmental…

Physics and Society · Physics 2025-10-21 İdris Demir , Ali İhsan Keskin

There are three levels of description in classical statistical mechanics, the microscopic/dynamic, the macroscopic/statistical and the thermodynamic. At one end there is a well-used concept of equilibrium in thermodynamics and at the other…

Statistical Mechanics · Physics 2007-05-23 D. A. Lavis

Boltzmann-Gibbs distribution arises as the statistical equilibrium probability distribution of money among the agents of a closed economic system where random and undirected exchanges are allowed. When considering a model with uniform…

Adaptation and Self-Organizing Systems · Physics 2015-06-11 Ismael Martinez-Martinez , Ricardo Lopez-Ruiz

Ergodicity, this is to say, dynamics whose time averages coincide with ensemble averages, naturally leads to Boltzmann-Gibbs (BG) statistical mechanics, hence to standard thermodynamics. This formalism has been at the basis of an enormous…

Statistical Mechanics · Physics 2009-11-10 Constantino Tsallis , Celia Anteneodo , Lisa Borland , Roberto Osorio