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Gibbs and Boltzmann definitions of temperature agree only in the macroscopic limit. The ambiguity in identifying the equilibrium temperature of a finite sized `small' system exchanging energy with a bath is usually understood as a…

Biological Physics · Physics 2015-03-09 Purushottam D. Dixit

Non-equilibrium thermodynamics of the driven resonant level model is studied using numerical simulations based on the driven Liouville von-Neumann formalism. The approach is first validated against recently obtained analytical results for…

Mesoscale and Nanoscale Physics · Physics 2019-10-08 Annabelle Oz , Oded Hod , Abraham Nitzan

We report an implementation of the recursion method that addresses quantum many-body dynamics in the nonperturbative regime. The method essentially amounts to constructing a Lanczos basis in the space of operators and solving coupled…

Strongly Correlated Electrons · Physics 2024-04-11 Filipp Uskov , Oleg Lychkovskiy

We generalize nonlinear Luttinger liquid theory to describe the dynamics of one-dimensional quantum critical systems at low temperatures. Analyzing density-matrix renormalization group results for the spin autocorrelation function in the…

Strongly Correlated Electrons · Physics 2015-10-06 C. Karrasch , R. G. Pereira , J. Sirker

We use molecular dynamics simulations to study the dynamics of an ensemble of interacting self-propelled semi-flexible polymers in contact with a thermal bath. Our intention is to model complex systems of biological interest. We find that…

Soft Condensed Matter · Physics 2011-05-06 Davide Loi , Stefano Mossa , Leticia F. Cugliandolo

In most interacting many-body systems associated with some "emergent phenomena," we can identify sub-groups of degrees of freedom that relax on dramatically different time-scales. Time-scale separation of this kind is particularly helpful…

Statistical Mechanics · Physics 2018-03-21 Pavel Chvykov , Jeremy England

We investigate the quench of Ising and Potts models via Monte Carlo dynamics, and find that the distribution of the site-site interaction energy has the same form as in the equilibrium case. This form directly derives from the Boltzmann…

Statistical Mechanics · Physics 2013-01-30 Mario J. de Oliveira , Alberto Petri

We identify and interpret the possible quantum thermal machine regimes with a transverse-field Ising model as the working substance. In general, understanding the emergence of such regimes in a many-body quantum system is challenging due to…

The second law of thermodynamics sets a lower bound on the work required to drive a system between thermal equilibrium states, with equality attained in the quasistatic limit. For finite-time processes, part of the extractable work is…

Quantum Physics · Physics 2025-11-20 Masaaki Tokieda

This review presents the effective temperature notion as defined from the deviations from the equilibrium fluctuation-dissipation theorem in out of equilibrium systems with slow dynamics. The thermodynamic meaning of this quantity is…

Statistical Mechanics · Physics 2015-05-28 Leticia F. Cugliandolo

Thermodynamical arguments are known to be useful in the construction of physically motivated Lyapunov functionals for nonlinear stability analysis of spatially homogeneous equilibrium steady states in thermodynamically isolated systems.…

Statistical Mechanics · Physics 2019-08-06 Miroslav Bulíček , Josef Málek , Vít Průša

The non-relativistic current algebra approach is analyzed subject to its application to studying the distribution functions of many-particle systems at the temperature equilibrium and their stability properties. We show that the classical…

Statistical Mechanics · Physics 2013-07-16 N. N. Bogolubov , A. K. Prykarpatsky

The transport of interacting Brownian particles in a periodic asymmetric (ratchet) substrate is studied numerically. In a zero-temperature regime, the system behaves as a reversible step motor, undergoing multiple sign reversals of the…

Statistical Mechanics · Physics 2008-12-31 Rogério M. da Silva , Clécio C. de Souza Silva , Sérgio Coutinho

We propose an energetic interpretation ofstochastic processes described by Langevin equations with non-uniform temperature. In order to avoid It\^{o}-Stratonovich dilemma, we start with a Kramers equation, and derive a Fokker-Plank equation…

Statistical Mechanics · Physics 2007-05-23 Miki Matsuo , Shin-ichi Sasa

The dynamics of open quantum systems connected with several reservoirs attract great attention due to its importance in quantum optics, biology, quantum thermodynamics, transport phenomena, etc. In many problems, the Born approximation is…

Quantum Physics · Physics 2023-12-20 I. V. Vovchenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

The current theoretical and experimental situation is reviewed for low-dimensional (layered and chain-like) insulating systems. Such systems possess a low magnetic transition temperature $T_M$ and pronounced short-range magnetic order above…

Strongly Correlated Electrons · Physics 2021-02-17 A. A. Katanin , V. Yu. Irkhin

Based on concepts from quantum thermodynamics the two-level system coupled to a single electromagnetic mode is analyzed. Focusing on the case of detuning, where the mode frequency does not match the transition frequency, effective energies…

Quantum Physics · Physics 2022-02-02 Andreas Wacker

We address a simple connection between results of Hamiltonian nonlinear dynamical theory and thermostatistics. Using a properly defined dynamical temperature in low-dimensional symplectic maps, we display and characterize long-standing…

Statistical Mechanics · Physics 2015-06-24 Fulvio Baldovin , Edgardo Brigatti , Constantino Tsallis

Virtually all electronic systems try to optimize a fundamental trade-off between higher performance and lower power consumption. The latter becomes critical in mobile computing systems, such as smartphones, which rely on passive cooling.…

Systems and Control · Electrical Eng. & Systems 2020-03-26 Ganapati Bhat , Suat Gumussoy , Umit Y. Ogras

A Langevin canonical framework for a chiral two-level system coupled to a bath of harmonic oscillators is used within a coupling scheme different from the well-known spin-boson model. From this stochastic dynamics, within the Markovian…