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We consider two high-frequency thermal processes in uniformly heated harmonic crystals relaxing towards equilibrium: (i) equilibration of kinetic and potential energies and (ii) redistribution of energy among spatial directions. Equation…

Statistical Mechanics · Physics 2017-08-01 Vitaly A. Kuzkin , Anton M. Krivtsov

We study the total current correlations for anharmonic chains in thermal equilibrium, putting forward predictions based on the second moment sum rule and on nonlinear fluctuating hydrodynamics. We compare with molecular dynamics simulations…

Statistical Mechanics · Physics 2015-03-13 Christian B. Mendl , Herbert Spohn

Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

Close to equilibrium, the exchange of particles and heat between macroscopic systems at different temperatures and different chemical potentials is known to be governed by a matrix of transport coefficients which is positive and symmetric.…

Statistical Mechanics · Physics 2017-10-11 Euijin Jeon , Peter Talkner , Juyeon Yi , Yong Woon Kim

In recent years, nanostructuring of dielectric and semiconducting crystals has enhanced controllability of their thermal conductivity. To carry out computational material search for nanostructured materials with desirable thermal…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Takuma Shiga , Daisuke Aketo , Lei Feng , Junichiro Shiomi

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

Statistical Mechanics · Physics 2022-06-30 Cillian Cockrell , Ian J Ford

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

We consider a class of mechanical particle systems interacting with thermostats. Particles move freely between collisions with disk-shaped thermostats arranged periodically on the torus. Upon collision, an energy exchange occurs, in which a…

Mathematical Physics · Physics 2013-01-18 Konstantin Khanin , Tatiana Yarmola

We use a bath of chaotic surface waves in water to mechanically and macroscopically mimic the thermal behavior of a short articulated chain with only nearest-neighbor interactions. The chaotic waves provide isotropic and random agitation to…

Soft Condensed Matter · Physics 2015-03-05 Kyle J. Welch , Clayton S. G. Kilmer , Eric I. Corwin

The motion of molecules on solid surfaces is of interest for technological applications, but it is also a theoretical challenge. We study the deterministic and thermal diffusive dynamics of a dimer moving on a periodic substrate. The…

Materials Science · Physics 2007-05-23 C. Fusco , A. Fasolino

We study the dynamics of the statistics of the energy transferred across a point along a quantum chain which is prepared in the inhomogeneous initial state obtained by joining two identical semi-infinite parts thermalized at two different…

Statistical Mechanics · Physics 2020-10-28 Gabriele Perfetto , Andrea Gambassi

The pioneering computer simulations of the energy relaxation mechanisms performed by Fermi, Pasta and Ulam can be considered as the first attempt of understanding energy relaxation and thus heat conduction in lattices of nonlinear…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

Following the nonequilibrium Green's function formalism we study the thermal transport in a composite chain subject to a time-dependent perturbation. The system is formed by two finite linear asymmetric harmonic chains subject to an on-site…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 N. Beraha , A. Soba , M. F. Carusela

We investigate the energy relaxation process produced by thermal baths at zero temperature acting on the boundary atoms of chains of classical anharmonic oscillators. Time-dependent perturbation theory allows us to obtain an explicit…

Chaotic Dynamics · Physics 2016-09-08 F. Piazza , S. Lepri , R. Livi

We investigate the entanglement properties of thermal states of the harmonic lattice in one, two and three dimensions. We establish the value of the critical temperature for entanglement between neighbouring sites and give physical reasons.…

Quantum Physics · Physics 2009-11-13 Janet Anders

We provide a stochastic fractional diffusion equation description of energy transport through a finite one-dimensional chain of harmonic oscillators with stochastic momentum exchange and connected to Langevian type heat baths at the…

Statistical Mechanics · Physics 2019-05-22 Aritra Kundu , Cédric Bernardin , Keji Saito , Anupam Kundu , Abhishek Dhar

I investigate energy transfer in a donor-acceptor pair beyond weak system-bath coupling. I identify a transition from coherent to incoherent dynamics with increasing temperature, due to multi-phonon effects not captured by a standard…

Mesoscale and Nanoscale Physics · Physics 2009-10-05 Ahsan Nazir

We study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter $\lambda \rightarrow 0$, and the anharmonicity by a parameter $\lambda'…

Mathematical Physics · Physics 2013-10-08 Cédric Bernardin , François Huveneers

We theoretically and numerically investigate the transport of active colloids to target regions, delimited by asymmetric energy barriers. We show that it is possible to introduce a generalized effective temperature that is related to the…

Soft Condensed Matter · Physics 2015-06-30 N. Koumakis , C. Maggi , R. Di Leonardo

We find that, in the presence of weak incoherent effects from surrounding environments, the zero temperature conductance of nearest neighbour tight-binding chains exhibits a counter-intuitive power-law growth with system length at…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Madhumita Saha , Bijay Kumar Agarwalla , Manas Kulkarni , Archak Purkayastha
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