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Related papers: Thermal transport in long-range interacting harmon…

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We review recent rigorous mathematical results about the macroscopic behaviour of harmonic chains with the dynamics perturbed by a random exchange of velocities between nearest neighbor particles. The random exchange models the effects of…

Statistical Mechanics · Physics 2015-12-24 Giada Basile , Cédric Bernardin , Milton Jara , Tomasz Komorowski , Stefano Olla

In this paper, thermal transport in bond-disordered harmonic chains is revisited in detail using a nonequilibrium Green's function formalism. For strong bond disorder, thermal conductivity is independent of the system size. However, kinetic…

Statistical Mechanics · Physics 2021-10-25 Kiminori Hattori , Shohei Kumatoriya

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Abhishek Dhar , Dibyendu Roy

Chaotic lattice models at high temperature are generically expected to exhibit diffusive transport of all local conserved charges. Such diffusive transport is usually associated with overdamped relaxation of the associated currents. Here we…

Statistical Mechanics · Physics 2026-05-18 Vir B. Bulchandani , David A. Huse

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

In this work we study the heat transport in an XXZ spin-1/2 Heisenberg chain with homogeneous magnetic field, incoherently driven out of equilibrium by reservoirs at the boundaries. We focus on the effect of bulk dephasing…

Strongly Correlated Electrons · Physics 2013-07-17 J. J. Mendoza-Arenas , S. Al-Assam , S. R. Clark , D. Jaksch

We investigate the possibility of characterizing the different thermalization pathways through a large-deviation approach. Specifically, we consider clean, disordered and quasi-periodic harmonic chains under energy and momentum-conserving…

Statistical Mechanics · Physics 2024-08-21 Stefano Lepri

We introduce a model whose thermal conductivity diverges in dimension 1 and 2, while it remains finite in dimension 3. We consider a system of oscillators perturbed by a stochastic dynamics conserving momentum and energy. We compute thermal…

Statistical Mechanics · Physics 2009-03-04 Giada Basile , Cedric Bernardin , Stefano Olla

We consider a one-dimensional fermionic lattice system with long-ranged power-law decaying hopping with exponent $\alpha$. The system is further subjected to dephasing noise in the bulk. We investigate two variants of the problem: (i) an…

Statistical Mechanics · Physics 2024-06-04 Abhinav Dhawan , Katha Ganguly , Manas Kulkarni , Bijay Kumar Agarwalla

We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerically observed for particular coupling parameters before, and…

Statistical Mechanics · Physics 2007-05-23 Kenichiro Aoki , Jani Lukkarinen , Herbert Spohn

We consider a purely harmonic chain of oscillators which is perturbed by a stochastic noise. Under this perturbation, the system exhibits two conserved quantities: the volume and the energy. At the level of the hydrodynamic limit, under…

Probability · Mathematics 2025-05-16 Patrícia Gonçalves , Kohei Hayashi , João Pedro Mangi

We consider a chain composed of $N$ coupled harmonic oscillators in contact with heat baths at temperature $T_\ell$ and $T_r$ at sites 1 and $N$ respectively. The oscillators are also subjected to non-momentum conserving bulk stochastic…

Statistical Mechanics · Physics 2015-05-30 Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen

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 the propagation of different types of correlations through a quantum bus formed by a chain of coupled harmonic oscillators. This includes steering, entanglement, mutual information, quantum discord, and Bell-like nonlocality. The…

Quantum Physics · Physics 2016-07-20 F. Nicacio , F. L. Semião

Quantum transport in a non-equilibrium setting plays a fundamental role in understanding the properties of systems ranging from quantum devices to biological systems. Dephasing -- a key aspect of out-of-equilibrium systems -- arises from…

Quantum Physics · Physics 2024-04-15 Subhajit Sarkar , Bijay Kumar Agarwalla , Devendra Singh Bhakuni

We study the macroscopic profiles of temperature and angular momentum in the stationary state of chains of rotors under a thermo-mechanical forcing applied at the boundaries. These profiles are solutions of a system of diffusive partial…

Statistical Mechanics · Physics 2021-07-07 Alessandra Iacobucci , Stefano Olla , Gabriel Stoltz

In dilute gases, transport properties such as the thermal conductivity, self-diffusion, and viscosity are significantly affected by interatomic collisions, which are determined by the potential form. This study explores these transport…

Statistical Mechanics · Physics 2025-10-17 Alejandro Alés , Juan Ignacio Cerato , Leandro Marchioni , Miguel Hoyuelos

We study correlations in fermionic lattice systems with long-range interactions in thermal equilibrium. We prove a bound on the correlation decay between anti-commuting operators and generalize a long-range Lieb-Robinson type bound. Our…

Quantum Physics · Physics 2017-09-15 Senaida Hernández-Santana , Christian Gogolin , J. Ignacio Cirac , Antonio Acín

Anomalous large thermal conductivity has been observed numerically and experimentally in one and two dimensional systems. All explicitly solvable microscopic models proposed to date did not explain this phenomenon and there is an open…

Statistical Mechanics · Physics 2007-05-23 Giada Basile , Cedric Bernardin , Stefano Olla

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