Diffusion in Deterministic Interacting Lattice Systems

Marko Medenjak, Katja Klobas, and Tomaž Prosen
Phys. Rev. Lett. 119, 110603 – Published 14 September 2017
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Abstract

We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of transport phenomena, ranging from ballistic, through diffusive to insulating. By obtaining an exact expressions for the current time-autocorrelation function we are able to calculate the linear response transport coefficients, such as the diffusion constant and the Drude weight. Additionally, we calculate the long-time charge profile after an inhomogeneous quench and obtain diffusive profilewith the Green-Kubo diffusion constant. Exact analytical results are corroborated by Monte Carlo simulations.

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  • Received 17 May 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.110603

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Marko Medenjak, Katja Klobas, and Tomaž Prosen

  • Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia

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Issue

Vol. 119, Iss. 11 — 15 September 2017

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