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Kinetic Uncertainty Relations (KURs) set fundamental limits on the precision of nonequilibrium transport by bounding the signal-to-noise ratio of currents in terms of the dynamical activity, a quantity that counts exchange events between a…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Gianmichele Blasi , Ricard Ravell Rodríguez , Mykhailo Moskalets , Rosa López , Géraldine Haack

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

Statistical Mechanics · Physics 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

Characterizing the nature of hydrodynamical transport properties in quantum dynamics provides valuable insights into the fundamental understanding of exotic non-equilibrium phases of matter. Experimentally simulating infinite-temperature…

We study the non equilibrium statistical properties of a one dimensional hard-rod fluid undergoing collisions and subject to a spatially non uniform Gaussian heat-bath and periodic potential. The system is able to sustain finite currents…

Statistical Mechanics · Physics 2012-05-25 Fabio Cecconi , Giulio Costantini , Umberto Marini Bettolo Marconi

Symmetry relations are manifestations of fundamental principles and constitute cornerstones of modern physics. An example are the Onsager relations between coefficients connecting thermodynamic fluxes and forces, central to transport theory…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 J. Matthews , F. Battista , D. Sanchez , P. Samuelsson , H. Linke

A new formalism to describe steady-state electronic and thermal transport in the framework of density functional theory is presented. A one-to-one correspondence is proven between the three basic variables of the theory, i.e., the density…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Nahual Sobrino , Florian Eich , Gianluca Stefanucci , Roberto D'Agosta , Stefan Kurth

Two widely used model-free lower bounds on the steady-state entropy production rate of a continuous-time Markov jump process are the thermodynamic uncertainty relation (TUR) bound $\sigma_\text{TUR}$, derived from the mean and variance of a…

Statistical Mechanics · Physics 2026-01-08 Jie Gu

This is the second of two articles on the study of a particle system model that exhibits a Turing instability type effect. About the hydrodynamic quations obtained in \cite{CSL17a}, we find conditions under which Turing instability occurs…

Probability · Mathematics 2018-12-26 M. Capanna , N. Soprano-Loto

Thermodynamic uncertainty principles make up one of the few rare anchors in the largely uncharted waters of nonequilibrium systems, the fluctuation theorems being the more familiar. In this work we aim to trace the uncertainties of…

Statistical Mechanics · Physics 2022-08-02 Hang Dong , Daniel Reiche , Jen-Tsung Hsiang , Bei-Lok Hu

In this essay, we first sketch the development of ideas on the extraordinary dynamics of integrable classical nonlinear and quantum many body Hamiltonians. In particular, we comment on the state of mathematical techniques available for…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos

We investigate the transport properties of an anharmonic oscillator, modeled by a single-site Bose-Hubbard model, coupled to two different thermal baths using the numerically exact thermofield based chain-mapping matrix product states…

Quantum Gases · Physics 2020-08-18 Tianqi Chen , Vinitha Balachandran , Chu Guo , Dario Poletti

We employ the functional renormalization group to study the effects of phonon-assisted tunneling on the nonequilibrium steady-state transport through a single level molecular quantum dot coupled to electronic leads. Within the framework of…

Strongly Correlated Electrons · Physics 2018-12-18 A. Khedri , T. A. Costi , V. Meden

Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo…

Energy transport in quantum many-body systems with well defined quasiparticles has recently attracted interest across different fields, including out of equilibrium conformal field theories, one dimensional quantum lattice models and…

Strongly Correlated Electrons · Physics 2022-06-16 Ancel Larzul , Marco Schirò

One of the most straightforward ways to study thermal properties beyond linear response is to monitor the relaxation of an arbitrarily large left-right temperature gradient $T_L-T_R$. In one-dimensional systems which support ballistic…

Strongly Correlated Electrons · Physics 2017-03-29 C. Karrasch

Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given observable is constrained by dissipation. Fluctuation relations generalize the second law of thermodynamics to stochastic processes. We show that any…

Statistical Mechanics · Physics 2019-11-26 Patrick P. Potts , Peter Samuelsson

Thermal transport is less appreciated in probing quantum materials in comparison to electrical transport. This article aims to show the pivotal role that thermal transport may play in understanding quantum materials: the longitudinal…

Strongly Correlated Electrons · Physics 2020-05-13 Mingda Li , Gang Chen

We develop a general theory for thermal transport in anharmonic systems under the weak system-bath coupling approximation similar to the quantum master equation formalism. A current operator is derived, which is valid not only in the steady…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Juzar Thingna , J. L. García-Palacios , Jian-Sheng Wang

This work brings together Keldysh non-equilibrium quantum theory and thermodynamics, by showing that a real-time diagrammatic technique is an equivalent of stochastic thermodynamics for non-Markovian quantum machines (heat engines,…

Mesoscale and Nanoscale Physics · Physics 2021-03-16 Robert S. Whitney

The thermoelectric transport through a molecular bridge is discussed, with an emphasis on the effects of inelastic processes of the transport electrons caused by the coupling to the vibrational modes of the molecule. In particular it is…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 O. Entin-Wohlman , Y. Imry , A. Aharony
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