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Brownian particles placed sequentially in contact with distinct thermal reservoirs and subjected to external driving forces are promising candidates for the construction of reliable thermal engines. In this contribution, we address the role…

Statistical Mechanics · Physics 2022-06-14 Fernando S. Filho , Bruno A. N. Akasaki , Carlos E. Fernadéz Noa , Bart Cleuren , Carlos E. Fiore

When an isolated system is brought in contact with a heat bath its final energy is random and follows the Gibbs distribution -- a cornerstone of statistical physics. The system's energy can also be changed by performing non-adiabatic work…

Statistical Mechanics · Physics 2011-12-01 Guy Bunin , Luca D'Alessio , Yariv Kafri , Anatoli Polkovnikov

In quantum thermodynamics, the decomposition of energy exchanges into heat and work remains an open problem beyond weak-coupling and slow-driving regimes. Recent formulations have shown that quantum coherence introduces additional energy…

Quantum Physics · Physics 2026-05-20 Mario Reis , Maron F. Anka , Vinicius Gomes de Paula , Clebson Cruz

At very small scales, thermodynamic energy exchanges like work and heat become comparable to thermal energy of the system, which leads to unusual phenomena like the transient violations of Second Law. We explore the generic characters of…

Statistical Mechanics · Physics 2019-06-25 Sourabh Lahiri , Arun M Jayannavar

We consider a generalisation of thermodynamics that deals with multiple conserved quantities at the level of individual quantum systems. Each conserved quantity, which, importantly, need not commute with the rest, can be extracted and…

Quantum Physics · Physics 2016-07-14 Yelena Guryanova , Sandu Popescu , Anthony J. Short , Ralph Silva , Paul Skrzypczyk

A central problem in computational statistics is to convert a procedure for sampling combinatorial from an objects into a procedure for counting those objects, and vice versa. Weconsider sampling problems coming from *Gibbs distributions*,…

Probability · Mathematics 2023-08-21 David G. Harris , Vladimir Kolmogorov

There exist two formulations for quantum heat engine that models an energy transfer between two microscopic systems. One is semi-classical scenario, and the other is full quantum scenario. The former is formulated as a unitary evolution for…

Quantum Physics · Physics 2017-04-05 Masahito Hayashi , Hiroyasu Tajima

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers , Susan B. Rempe

A quantum system coupled to a bath at some fixed, finite temperature converges to its Gibbs state. This thermalization process defines a natural, physically-motivated model of quantum computation. However, whether quantum computational…

Quantum Physics · Physics 2025-01-15 Thiago Bergamaschi , Chi-Fang Chen , Yunchao Liu

When partitioning workflows in realistic scenarios, the knowledge of the processing units is often vague or unknown. A naive approach to addressing this issue is to perform many controlled experiments for different workloads, each…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-03 Freddy C. Chua , Bernardo A. Huberman

Starting from the most general formulation of stochastic thermodynamics---i.e. a thermodynamically consistent nonautonomous stochastic dynamics describing systems in contact with several reservoirs---, we define a procedure to identify the…

Statistical Mechanics · Physics 2018-02-07 Riccardo Rao , Massimiliano Esposito

A general procedure of average-case performance evaluation for population dynamics such as genetic algorithms (GAs) is proposed and its validity is numerically examined. We introduce a learning algorithm of Gibbs distributions from training…

Neural and Evolutionary Computing · Computer Science 2010-04-22 Manabu Kitagata , Jun-ichi Inoue

In the framework of Gibbs statistical theory, the issue of the distribution of particle sizes forming the statistical system and the moments of this distribution are considered. This task is relevant for a wide variety of applications. The…

Statistical Mechanics · Physics 2019-10-14 V. V. Ryazanov

Quantum thermodynamics can be cast as a resource theory by considering free access to a heat bath, thereby viewing the Gibbs state at a fixed temperature as a free state and hence any other state as a resource. Here, we consider a…

Quantum Physics · Physics 2019-10-09 Uttam Singh , Michael G. Jabbour , Zacharie Van Herstraeten , Nicolas J. Cerf

Based on quantum statistical mechanics and microscopic quantum dynamics, we prove Planck's and Kelvin's principles for macroscopic systems in a general and realistic setting. We consider a hybrid quantum system that consists of the…

Statistical Mechanics · Physics 2016-05-04 Hal Tasaki

It is a common belief that in any environment where life is possible, life will be generated. Here it is suggested that the cause for a spontaneous generation of complex systems is probability driven processes. Based on equilibrium…

Information Theory · Computer Science 2007-11-29 Oded Kafri

This paper considers a non-standard problem of generating samples from a low-temperature Gibbs distribution with \emph{constrained} support, when some of the coordinates of the mode lie on the boundary. These coordinates are referred to as…

Statistics Theory · Mathematics 2026-02-27 Ruixiao Wang , Xiaohong Chen , Sinho Chewi

We reconsider a well-known relationship between the fluctuation theorem and the second law of thermodynamics by evaluating a probability measure-valued process. In order to establish a bridge between microscopic and macroscopic behaviors,…

Statistical Mechanics · Physics 2015-03-19 Yuki Sughiyama , Masayuki Ohzeki

We postulate a principle stating that the initial condition of a physical system is typically algorithmically independent of the dynamical law. We argue that this links thermodynamics and causal inference. On the one hand, it entails…

Statistical Mechanics · Physics 2016-11-08 Dominik Janzing , Rafael Chaves , Bernhard Schoelkopf

We present a general framework for systems which are prepared in a non-stationary non-equilibrium state in the absence of any perturbation, and which are then further driven through the application of a time-dependent perturbation. We…

Statistical Mechanics · Physics 2012-12-06 Gatien Verley , David Lacoste
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