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Standard results for the fluctuations of thermodynamic quantities are derived under the assumption of sampling identical systems that are in different, not fully equilibrated states. These results apply to fluctuations with time in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. A. Serota

The definition of a nonequilibrium temperature through generalized fluctuation-dissipation relations relies on the independence of the fluctuation-dissipation temperature from the observable considered. We argue that this observable…

Statistical Mechanics · Physics 2015-03-13 Kirsten Martens , Eric Bertin , Michel Droz

Heating under periodic driving is a generic nonequilibrium phenomenon, and it is a challenging problem in nonequilibrium statistical physics to derive a quantitatively accurate heating rate. In this work, we provide a simple formula on the…

Statistical Mechanics · Physics 2022-02-16 Takashi Mori

We develop a time dependent random matrix theory describing the influence of a time-dependent perturbation on mesoscopic conductance fluctuations in open quantum dots. The effect of external field is taken into account to all orders of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Maxim G. Vavilov , Igor L. Aleiner

We consider stationary driven systems in contact with a thermal equilibrium bath. There is a constant (Joule) heat dissipated from the steady system to the environment as long as all parameters are unchanged. As a natural generalization…

Statistical Mechanics · Physics 2020-01-29 Christian Maes , Karel Netocny

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

Thermodynamics relies on the possibility to describe systems composed of a large number of constituents in terms of few macroscopic variables. Its foundations are rooted into the paradigm of statistical mechanics, where thermal properties…

Quantum Physics · Physics 2016-10-04 Antonella De Pasquale , Davide Rossini , Rosario Fazio , Vittorio Giovannetti

We extend a recent computation of the dependence of the free energy, F, on the noncommutative scale $\theta$ to theories with very different UV sensitivity. The temperature dependence of $F$ strongly suggests that a reduced number of…

High Energy Physics - Theory · Physics 2009-10-31 W. Fischler , E. Gorbatov , A. Kashani-Poor , R. McNees , S. Paban , P. Pouliot

We introduce thermometers to define the local temperature of an electronic system driven out-of-equilibrium by local AC fields. We also define the effective temperature in terms of a local fluctuation-dissipation-relation. We show that…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Alvaro Caso , Liliana Arrachea , Gustavo S. Lozano

The characteristic function for heat fluctuations in a non equilibrium system is characterised by a large deviation function whose symmetry gives rise to a fluctuation theorem. In equilibrium the large deviation function vanishes and the…

Statistical Mechanics · Physics 2020-09-08 Hans C. Fogedby

Effects of collective modes on thermoelectric properties of a charge density system is studied. We derive the temperature dependence of thermoelectric power and thermal conductivity by applying the linear response theory to Fr\"ohlich…

Other Condensed Matter · Physics 2007-05-23 Hiroyuki Yoshimoto , Susumu Kurihara

We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective…

Statistical Mechanics · Physics 2023-03-06 M. Coppola , D. Karevski

An interferometric technique is proposed for determining the spatial forms of the individual degrees of freedom through which a many body system can absorb energy from its environment. The method separates out the coherent excitations…

Quantum Physics · Physics 2017-08-30 S. Withington , C. N. Thomas , D. J. Goldie

We discuss the low-frequency response of charge and heat transport to oscillatory voltage and temperature shifts in mesoscopic capacitors. We obtain within scattering theory generic expressions for the quantum admittances up to second order…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 Jong Soo Lim , Rosa Lopez , David Sanchez

Close to equilibrium, the excess heat governs the static fluctuations. We study the heat capacity in that McLennan regime, i.e., in linear order around equilibrium, using an expression in terms of the average energy that extends the…

Statistical Mechanics · Physics 2024-05-08 Faezeh Khodabandehlou , Christian Maes

The decoherence of quantum fluctuations into classical perturbations during inflation is discussed. A simple quantum mechanical argument, using a spatial particle wavefunction rather than a field description, shows that observable…

Astrophysics · Physics 2007-05-23 Craig J. Hogan

Heat capacities of model systems with finite numbers of effective degrees of freedom are evaluated using canonical and microcanonical thermodynamics. Discrepancies between both approaches, which are observed even in the infinite-size limit,…

Quantum Physics · Physics 2017-02-16 Pavel Cejnar , Pavel Stránský

The standard {\em system-plus-reservoir} approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion…

Statistical Mechanics · Physics 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

Statistical Mechanics · Physics 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi