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Over the years, several schemes have been proposed to describe multireference systems with Kohn-Sham Density Functional Theory. Problematic is the combination of two aspects: the Kohn-Sham reference wavefunction is usually taken to be a…

Strongly Correlated Electrons · Physics 2019-08-01 Pablo Ramos , Michele Pavanello

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

Statistical Mechanics · Physics 2012-06-19 Jae Dong Noh , Jong-Min Park

We study a model of heat conduction with stochastic diffusion of energy. We obtain a dual particle process which describes the evolution of all the correlation functions. An exact expression for the covariance of the energy exhibits…

Statistical Mechanics · Physics 2015-06-25 C. Giardiná , J. Kurchan , F. Redig

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

The dissipative harmonic oscillator has two representations. In the first representation the central oscillator couples with its position to an oscillator bath. In the second one it couples with its momentum to the bath. Both…

Statistical Mechanics · Physics 2015-06-04 Heiner Kohler , Fernando Sols

We investigate how the kinetic energy acquired by a dense granular system driven by an external vibration depends on the input energy. Our focus is on the dependence of the granular behavior on two main parameters: frequency and vibration…

Soft Condensed Matter · Physics 2021-01-14 A. Plati , L. de Arcangelis , A. Gnoli , E. Lippiello , A. Puglisi , A. Sarracino

We develop a Hamiltonian theory of a time dispersive and dissipative inhomogeneous medium, as described by a linear response equation respecting causality and power dissipation. The proposed Hamiltonian couples the given system to auxiliary…

Mathematical Physics · Physics 2009-04-24 Alex Figotin , Jeffrey H. Schenker

We present the closed loop approach to linear nonequilibrium thermodynamics considering a generic heat engine dissipatively connected to two temperature baths. The system is usually quite generally characterized by two parameters: the…

Statistical Mechanics · Physics 2016-10-05 C. Goupil , H. Ouerdane , E. Herbert , G. Benenti , Y. D'Angelo , Ph. Lecoeur

An exact linear response expression is obtained for the heat current in a classical Hamiltonian system coupled to heat baths with time-dependent temperatures. The expression is equally valid at zero and finite frequencies. We present…

Statistical Mechanics · Physics 2015-05-19 Abhishek Dhar , Onuttom Narayan , Anupam Kundu , Keiji Saito

We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Carrega , P. Solinas , A. Braggio , M. Sassetti , U. Weiss

We study analytically and numerically the distribution of granular temperatures in granular mixtures for different dissipation mechanisms of inelastic inter-particle collisions. Both driven and force-free systems are analyzed. We…

Soft Condensed Matter · Physics 2019-11-13 Anna S. Bodrova , Alexander Osinsky , Nikolay Brilliantov

We study the dynamical correlation functions and heat conduction for the simplest model of quasi one-dimensional (1d) dielectric crystal i.e. a chain of classical particles coupled by quadratic and cubic intersite potential. Even in the…

Statistical Mechanics · Physics 2009-10-31 Stefano Lepri

The inference of causal relationships among observed variables is a pivotal, longstanding problem in the scientific community. An intuitive method for quantifying these causal links involves examining the response of one variable to…

Statistical Mechanics · Physics 2025-03-27 Gabriele Di Antonio , Gianni Valerio Vinci

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

The study of quantum thermodynamics is key to the development of quantum thermal machines. In contrast to most of the previous proposals based on discrete strokes, here we consider a working substance that is permanently coupled to two or…

Quantum Physics · Physics 2022-02-09 Heather Leitch , Nicolò Piccione , Bruno Bellomo , Gabriele De Chiara

We consider a velocity field with linear viscous interactions defined on a one dimensional lattice. Brownian baths with different parameters can be coupled to the boundary sites and to the bulk sites, determining different kinds of…

Statistical Mechanics · Physics 2021-06-18 Andrea Plati , Andrea Puglisi

Having established the fact that interacting classical kicked rotor systems exhibit long-lived prethermal phase with quasi-conserved average Hamiltonian before entering into chaotic heating regime, we use spatio-temporal fluctuation…

Statistical Mechanics · Physics 2021-09-01 Aritra Kundu , Atanu Rajak , Tanay Nag

Complex network theory provides an elegant and powerful framework to statistically investigate different types of systems such as society, brain or the structure of local and long-range dynamical interrelationships in the climate system.…

Two-time correlations are a crucial tool to probe the dynamics of many-body systems. We use these correlation functions to study the dynamics of dissipative quantum systems. Extending the adiabatic elimination method, we show that the…

Quantum Gases · Physics 2015-06-11 Bruno Sciolla , Dario Poletti , Corinna Kollath

We propose a quasi-particle description for the hierarchical equations of motion formalism for quantum dissipative dynamics systems. Not only it provides an alternative mathematical means to the existing formalism, the new protocol…

Statistical Mechanics · Physics 2013-05-14 Hou-Dao Zhang , Jian Xu , Rui-Xue Xu , Xiao Zheng , YiJing Yan