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Understanding the statistical behavior of the heat in stochastic systems gives us insight about the thermodynamics of such systems. Using the recently proposed Relativistic Stochastic Thermodynamics, we investigate the statistics of the…

Statistical Mechanics · Physics 2021-10-11 Pedro V. Paraguassú , Welles A. M. Morgado

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

Statistical Mechanics · Physics 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

The aim of this paper is to determine lost works in a molecular engine and compare results with macro (classical) heat engines. Firstly, irreversible thermodynamics are reviewed for macro and molecular cycles. Secondly, irreversible…

Statistical Mechanics · Physics 2021-11-09 Umberto Lucia , Emin Açıkkalp

We consider the thermodynamic approach to the description of economic systems and processes. The first and second laws of thermodynamics as applied to economic systems are derived and analyzed. It is shown that there is a deep analogy…

General Finance · Quantitative Finance 2021-02-03 Sergey Rashkovskiy

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

Statistical Mechanics · Physics 2022-06-30 Cillian Cockrell , Ian J Ford

We consider the stationary state of a Markov process on a bipartite system from the perspective of stochastic thermodynamics. One subsystem is used to extract work from a heat bath while being affected by the second subsystem. We show that…

Statistical Mechanics · Physics 2014-03-03 David Hartich , Andre C. Barato , Udo Seifert

According to the laws of thermodynamics, no heat engine can beat the efficiency of a Carnot cycle. This efficiency traditionally comes with vanishing power output and practical designs, optimized for power, generally achieve far less.…

Statistical Mechanics · Physics 2018-09-26 Viktor Holubec , Artem Ryabov

Hydrodynamic flows are often generated in colloidal suspensions. Since colloidal particles are frequently used to construct stochastic heat engines, we study how the hydrodynamic flows influence the output parameters of the engine. We study…

Statistical Mechanics · Physics 2025-04-15 P. S. Pal , Sourabh Lahiri , Arnab Saha

The autonomous heat engine is a model system of autonomous nonequilibrium systems like biological cells, exploiting nonequilibrium flow for operations. As the Carnot engine has essentially contributed to the equilibrium thermodynamics,…

Statistical Mechanics · Physics 2020-08-05 Shoichi Toyabe , Yuki Izumida

Lack of knowledge about the detailed many-particle motion on the microscopic scale is a key issue in any theoretical description of a macroscopic experiment. For systems at or close to thermal equilibrium, statistical mechanics provides a…

Statistical Mechanics · Physics 2016-03-03 Peter Reimann

We extend the theory of stochastic thermodynamics in three directions: (i) instead of a continuously monitored system we consider measurements only at an arbitrary set of discrete times, (ii) we allow for imperfect measurements and…

Statistical Mechanics · Physics 2019-08-27 Philipp Strasberg , Andreas Winter

From synthetic active devices such as self-propelling Janus colloids to micro-organisms like bacteria, micro-algae, living cells in tissues, active fluctuations are ubiquitous. Thermodynamics of small systems involving thermal as well as…

Statistical Mechanics · Physics 2020-01-29 Arnab Saha , Rahul Marathe

An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have random displacements and random velocities corresponding to a…

Statistical Mechanics · Physics 2020-11-04 Anton M. Krivtsov , Andrey S. Murachev

We perform an extensive analysis of passive as well as active micro-heat engines with different single-particle stochastic models. Using stochastic thermodynamics we calculate thermodynamic work, heat, entropy production and efficiency of…

Statistical Mechanics · Physics 2022-08-17 Rita Majumdar , Arnab Saha , Rahul Marathe

In this paper, we investigate a special class of stochastic Markov processes, known as Glauber dynamics. Markov processes are importance, for example, in the study of complex systems. For this, we present the basic theory of Glauber…

Statistical Mechanics · Physics 2014-02-28 Vilardo da Silva Junior , Alexsandro M. Carvalho

Aspects of the modern dynamical systems approach to thermodynamics of stationary states out of equilibrium with attention to the original conceptions which arose at the beginnings of Statistical Mechanics

Statistical Mechanics · Physics 2019-01-28 Giovanni Gallavotti

We describe recent progress towards deriving the Fundamental Laws of thermodynamics (the 0th, 1st and 2nd Law) from nonequilibrium quantum statistical mechanics in simple, yet physically relevant models. Along the way, we clarify some basic…

Mathematical Physics · Physics 2007-05-23 Walid K. Abou Salem , Juerg Froehlich

We will study a class of system composed of interacting unicyclic machines placed in contact with a hot and cold thermal baths subjected to a non-conservative driving worksource. Despite their simplicity, these models showcase an intricate…

Statistical Mechanics · Physics 2023-10-19 Iago N. Mamede , Karel Proesmans , Carlos E. Fiore

Stochastic thermodynamics has revolutionized our understanding of heat engines operating in finite time. Recently, numerous studies have considered the optimal operation of thermodynamic cycles acting as heat engines with a given profile in…

Statistical Mechanics · Physics 2022-06-15 Adam G. Frim , Michael R. DeWeese

Statistical mechanics provides the foundation for describing complex materials using only a few thermodynamic variables. No such framework currently exists far from equilibrium. In this Letter, we demonstrate how thermodynamics emerges far…