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Heat and energy are conceptually different, but often are assumed to be the same without justification. An effective method for investigating diffusion properties in equilibrium systems is discussed. With this method, we demonstrate that…

Statistical Mechanics · Physics 2015-11-03 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

We study time-dependent heat transport in systems composed of a resonant level periodically forced with an external power source and coupled to a fermionic continuum. This simple model contains the basic ingredients to understand time…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Maria Florencia Ludovico , Jong Soo Lim , Michael Moskalets , Liliana Arrachea , David Sanchez

We propose a general coarse-graining method to derive a continuity equation that describes any dissipative system of repulsive particles interacting through short-ranged potentials. In our approach, the effect of particle-particle…

Statistical Mechanics · Physics 2016-06-15 C. M. Vieira , H. A. Carmona , J. S. Andrade , A. A. Moreira

We determine the conditions under which the presence of long-range interactions reduce the energy losses due to defect generation during non-adiabatic evolution, crucial for enhancing the power to efficiency ratio of quantum thermal…

Statistical Mechanics · Physics 2025-04-07 Andrea Solfanelli , Nicolò Defenu

We aim to study thermodynamics of multiple two-body systems with long-range correlation using non-extensive statistics. Long-range correlation will cause multiple systems in anomalous diffusion. We consider the influence of long-range…

Statistical Mechanics · Physics 2017-07-31 Luan Cheng , Huiqiang Ding , Furong Yan , Weining Zhang , Enke Wang

We discuss the energy current and the energy fluctuations in an isolated quantum wire driven far from equilibrium. The system consists of interacting spinless fermions and is driven by a time--dependent magnetic flux. The energy current is…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 Dawid Crivelli , Marcin Mierzejewski , Peter Prelovšek

We prove density and current fluctuations for two examples of symmetric, interacting particle systems with anomalous diffusive behavior: the zero-range process with long jumps and the zero-range process with degenerated bond disorder. As an…

Probability · Mathematics 2009-01-05 M. Jara

We study energy transport in the paradigmatic Hamiltonian mean-field (HMF) model and other related long-range interacting models using molecular dynamics simulations. We show that energy diffusion in the HMF model is subdiffusive in nature,…

Statistical Mechanics · Physics 2017-10-13 Debarshee Bagchi

We study the nonequilibrium steady states of an Ising chain in a transverse field, h, by investigating the effect of a field, lambda, which drives the current of energy. The zero-temperature, h-lambda phase diagram is determined exactly and…

Statistical Mechanics · Physics 2009-10-28 T. Antal , Z. Racz , L. Sasvari

When an extended system is coupled at its opposite boundaries to two reservoirs at different temperatures or chemical potentials, it cannot achieve a global thermal equilibrium and is instead driven to a set of current-carrying…

Statistical Mechanics · Physics 2019-04-30 Michael J. Gullans , David A. Huse

Anomalous heat transport observed in low dimensional classical systems is associated to super-diffusive spreading of space-time correlation of the conserved fields in the system. This leads to non-local linear response relation between the…

Statistical Mechanics · Physics 2023-09-29 Anupam Kundu

This paper deals with the large-time analysis of a PDE system modelling contact with adhesion, in the case when thermal effects are taken into account. The phenomenon of adhesive contact is described in terms of phase transitions for a…

Analysis of PDEs · Mathematics 2009-09-15 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding nonlinear integro-differential equations for the relevant…

Statistical Mechanics · Physics 2015-06-25 Luca Delfini , Stefano Lepri , Roberto Livi , Antonio Politi

We perform a numerical study of transport properties of a one-dimensional chain with couplings decaying as an inverse power $r^{-(1+\sigma)}$ of the intersite distance $r$ and open boundary conditions, interacting with two heat reservoirs.…

Statistical Mechanics · Physics 2023-09-01 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

The decay of current autocorrelation functions is investigated for quantum systems featuring strong 'interactions'. Here, the term interaction refers to that part of the Hamiltonian causing the (major) decay of the current. On the time…

Statistical Mechanics · Physics 2011-07-27 Robin Steinigeweg

We study consequences of gauge invariance and charge conservation of an electron gas in a strong random potential perturbed by a weak electromagnetic field. We use quantum equations of motion and Ward identities for one- and two-particle…

Disordered Systems and Neural Networks · Physics 2008-09-16 V. Janis , J. Kolorenc , V. Spicka

We consider the electron transport properties through fully interacting nanoscale junctions beyond the linear-response regime. We calculate the current flowing through an interacting region connected to two interacting leads, with…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 H. Ness , L. K. Dash

We present a new method allowing us to derive the long-time and large-distance asymptotic behavior of the correlations functions of quantum integrable models from their exact representations. Starting from the form factor expansion of the…

Mathematical Physics · Physics 2015-05-20 K. K. Kozlowski , V. Terras

The effects of long-range interactions in quantum transport are still largely unexplored, mainly due to the difficulty of devising efficient embedding schemes. In this work we present a substantial progress in the interacting resonant level…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 E. Perfetto , G. Stefanucci , M. Cini

We investigate the heat current of a strongly interacting quantum dot in the presence of a voltage bias in the Kondo regime. Using the slave- boson mean-field theory, we discuss the behavior of the energy flow and the Joule heating. We find…

Mesoscale and Nanoscale Physics · Physics 2018-04-23 Miguel A. Sierra , David Sanchez