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We provide convincing empirical evidence that long range interactions strongly enhance the rectification effect which takes place in mass graded systems. Even more importantly the rectification does not decrease with the increase of the…

Statistical Mechanics · Physics 2015-08-27 Shunda Chen , Emmanuel Pereira , Giulio Casati

Heat rectifiers are systems that conduct heat asymmetrically for forward and reversed temperature gradients. Here, we present an analytical study of heat rectification in linear quantum systems. We demonstrate that asymmetric heat currents…

Quantum Physics · Physics 2019-04-03 Andreu Riera-Campeny , Mohammad Mehboudi , Marisa Pons , Anna Sanpera

Current understanding of thermal rectification asserts that the rectification ratio (R), which measures the relative heat flux between two ends of a nanostructure, is determined by its geometric asymmetry. The higher the asymmetry, the…

Mesoscale and Nanoscale Physics · Physics 2016-03-25 Zhongwei Zhang , Yuanping Chen , Yuee Xie , Shengbai Zhang

In Phys. Rev. Lett. 120, 200603 (2018), a segmented XXZ spin chain with zero anisotropy in one half and a large anisotropy on the other half gave rise to a spin current rectification which is perfect in the thermodynamic limit. Here we…

Statistical Mechanics · Physics 2021-06-02 Kang Hao Lee , Vinitha Balachandran , Dario Poletti

When a physical system is put in contact with a very large thermal bath, it undergoes a dissipative (i.e., an apparently irreversible) process that leads to thermal equilibrium. This dynamical process can be described fully within quantum…

Quantum Physics · Physics 2015-05-13 Valerio Scarani

The nonzero ground-state energy of the quantum mechanical harmonic oscillator implies quantum fluctuations around the minimum of the potential with the mean square value proportional to Planck's constant. In classical mechanics thermal…

Quantum Physics · Physics 2020-09-02 K. Schönhammer

A qubit-oscillator junction connecting as a series two bosonic heat baths at different temperatures can display heat valve and diode effects. In particular, the rectification can change in magnitude and even in sign, implying an inversion…

Quantum Physics · Physics 2025-07-15 Luca Magazzù , Elisabetta Paladino , Jukka P. Pekola , Milena Grifoni

Quantifying irreversibility of a system using finite information constitutes a major challenge in stochastic thermodynamics. We introduce an observable that measures the time-reversal asymmetry between two states after a given time lag. Our…

Statistical Mechanics · Physics 2023-12-18 Shiling Liang , Simone Pigolotti

We give a not trivial upper bound on the velocity of disturbances in an infinitely extended anharmonic system at thermal equilibrium. The proof is achieved by combining a control on the non equilibrium dynamics with an explicit use of the…

Mathematical Physics · Physics 2016-02-11 P. Buttà , E. Caglioti , S. Di Ruzza , C. Marchioro

A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths that satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

An instant homogeneous thermal perturbation in the finite harmonic one-dimensional crystal is studied. Previously it was shown that for the same problem in the infinite crystal the kinetic temperature oscillates with decreasing amplitude…

Statistical Mechanics · Physics 2019-01-30 Andrey S. Murachev , Anton M. Krivtsov , Denis V. Tsvetkov

We consider one-dimensional systems of all-to-all harmonically coupled particles with arbitrary masses, subject to two Langevin thermal baths. The couplings correspond to the mean-field limit of long-range interactions. Additionally, the…

Statistical Mechanics · Physics 2022-06-08 L. Defaveri , C. Olivares , C. Anteneodo

Recently the bound on the Lyapunov exponent $\lambda_L \le 2\pi T/ \hbar$ in thermal quantum systems was conjectured by Maldacena, Shenker, and Stanford. If we naively apply this bound to a system with a fixed Lyapunov exponent $\lambda_L$,…

High Energy Physics - Theory · Physics 2019-04-02 Takeshi Morita

We consider a $d$-dimensional disordered harmonic chain (DHC) perturbed by an energy conservative noise. We obtain uniform in the volume upper and lower bounds for the thermal conductivity defined through the Green-Kubo formula. These…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin

We study bi-segment thermal rectifiers whose forward heat fluxes are greater than reverse counterparts. Presently, a shortcoming of thermal rectifiers is that the rectification ratio, namely the forward flux divided by the reverse flux,…

Computational Physics · Physics 2014-10-21 Tien-Mo Shih , Zhaojing Gao , Ziquan Guo , Guangcao Liu , Holger Merlitz , Patrick J. Pagni , Zhong Chen

Translation-invariant low-dimensional systems are known to exhibit anomalous heat transport. However, there are systems, such as the coupled-rotor chain, where translation invariance is satisfied, yet transport remains diffusive. It has…

Statistical Mechanics · Physics 2023-07-12 Piero Olla

It is "conventional wisdom" that the uncertainty of local temperature measurements on equilibrium systems diverges exponentially fast as their temperature $T$ drops to zero. In contrast, some exactly solvable models showcase a more benign…

Quantum Physics · Physics 2018-07-04 Karen V. Hovhannisyan , Luis A. Correa

The rounding of the charge density wave depinning transition by thermal noise is examined. Hops by localized modes over small barriers trigger ``avalanches'', resulting in a creep velocity much larger than that expected from comparing…

Condensed Matter · Physics 2009-10-22 A. Alan Middleton

Rectifying thermal white noise into directed motion is generally believed to require the consumption of energy or information, as exemplified by Maxwell's demon-type feedback controllers. Here we demonstrate a molecular rectification…

Statistical Mechanics · Physics 2026-03-03 Jiantang Jiang

$\lambda\varphi^4$ theory at finite temperature suffers from infrared divergences near the temperature at which the symmetry is restored. These divergences are handled using renormalization group methods. Flow equations which use a fiducial…

High Energy Physics - Theory · Physics 2007-05-23 F. Freire , Denjoe O'Connor , C. R. Stephens , M. A. van Eijck
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