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Recently a number of approaches has been developed to connect the microscopic dynamics of particle systems to the macroscopic properties of systems in nonequilibrium stationary states, via the theory of dynamical systems. This way a direct…

Statistical Mechanics · Physics 2009-10-31 L. Rondoni , E. G. D. Cohen

The relationship between thermodynamics and statistical physics is valid in the thermodynamic limit - when the number of particles becomes very large. Here, we study thermodynamics in the opposite regime - at both the nano scale, and when…

Quantum Physics · Physics 2014-10-28 Michał Horodecki , Jonathan Oppenheim

The relation between time series irreversibility and entropy production has been recently investigated in thermodynamic systems operating away from equilibrium. In this work we explore this concept in the context of financial time series.…

Statistical Finance · Quantitative Finance 2016-01-11 Lucas Lacasa , Ryan Flanagan

We identify and explore the intriguing property of resource resonance arising within resource theories of entanglement, coherence and thermodynamics. While the theories considered are reversible asymptotically, the same is generally not…

Quantum Physics · Physics 2019-03-27 Kamil Korzekwa , Christopher T. Chubb , Marco Tomamichel

Thermodynamics is commonly presented as a theory of macroscopic systems in stable equilibrium, built upon assumptions of extensivity and scaling with system size. In this paper, we present a universal formulation of the elementary…

Quantum Physics · Physics 2026-03-26 Gian Paolo Beretta

Active systems evade the rules of equilibrium thermodynamics by constantly dissipating energy at the level of their microscopic components. This energy flux stems from the conversion of a fuel, present in the environment, into sustained…

Soft Condensed Matter · Physics 2022-03-15 Étienne Fodor , Robert L. Jack , Michael E. Cates

The report attempts of apply econophysics concepts to the Eurozone crisis. It starts by examining the idea of conservation laws as applied to market economies. It formulates a measure of financial entropy and gives numerical simulations…

General Finance · Quantitative Finance 2014-01-30 Paul Cockshott , David Zachariah

A unified thermodynamic formalism describing the efficiency of learning is proposed. First, we derive an inequality, which is more strength than Clausius's inequality, revealing the lower bound of the entropy-production rate of a subsystem.…

Statistical Mechanics · Physics 2025-04-15 Shanhe Su , Ousi Pan , Shihao Xia , Jincan Chen , Chikako Uchiyama

The uncertainty principle is a cornerstone of modern physics, and its implications have a fundamental impact on theoretical and applied quantum mechanics. The aim of this thesis is to study and apply the uncertainty relations between time…

Quantum Physics · Physics 2020-04-21 Francesco Campaioli

I give a self-contained introduction to the resource theory approach to quantum thermodynamics. I will introduce in an elementary manner the technical machinery necessary to unpack and prove the core statements of the theory. The topics…

Quantum Physics · Physics 2019-10-24 Matteo Lostaglio

It is still common wisdom amongst economists, politicians and lay people that economic growth is a necessity of our social systems, at least to avoid distributional conflicts. This paper challenges such belief moving from a purely physical…

General Economics · Economics 2020-05-11 Angelo Tartaglia

The relationship between reversible-dynamical and irreversible-thermodynamic descriptions is analyzed from a meta-theoretical point of view. A network of inter-theoretical relations is drawn by means of asymptotic relations and…

History and Philosophy of Physics · Physics 2013-09-06 Davide Neri

The pivotal point of the paper is to discuss the behavior of temperature, pressure, energy density as a function of volume along with determination of caloric EoS from following two model: $w(z)=w_{0}+w_{1}\ln(1+z)$ & $…

General Physics · Physics 2015-03-09 Sridip Pal , Ritabrata Biswas

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…

General Finance · Quantitative Finance 2024-07-02 Martin Pomares Calero

There is a relation between the irreversibility of thermodynamic processes as expressed by the breaking of time-reversal symmetry, and the entropy production in such processes. We explain on an elementary mathematical level the relations…

Statistical Mechanics · Physics 2007-05-23 C. Maes , K. Netocny

Some interactions between classical or quantum fields and matter are known to be irreversible processes. Here we associate an entropy to the electromagnetic field from well-known notions of statistical quantum mechanics, in particular the…

Quantum Physics · Physics 2021-01-25 Antoine Rignon-Bret

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…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

The approach to the analysis of the dynamic of non-equilibrium open systems within the framework of the laws of classical mechanics on the example a hard-disks is offered. This approach was based on Hamilton and Liouville generalized…

Statistical Mechanics · Physics 2007-05-23 V. M. Somsikov

An explanation of the mechanism of irreversible dynamics was offered. The explanation was obtained within the framework of laws of classical mechanics by the expansion of Hamilton formalism. Such expansion consisted in adaptation of it to…

Classical Physics · Physics 2007-05-23 V. M. Somsikov

Learning systems acquire structured internal representations from data, yet classical information-theoretic results state that deterministic transformations do not increase information. This raises a fundamental question: how can learning…

Machine Learning · Computer Science 2026-01-29 Daisuke Okanohara