Diffusion in Deterministic Interacting Lattice Systems

Marko Medenjak; Katja Klobas; Tomaž Prosen

doi:10.1103/PhysRevLett.119.110603

Diffusion in Deterministic Interacting Lattice Systems

Marko Medenjak, Katja Klobas, Tomaž Prosen

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	110603
Journal	Physical Review Letters
Volume	119
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.119.110603
Publication status	Published - 14 Sept 2017

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Publisher Copyright:
© 2017 American Physical Society.

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General Physics and Astronomy

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Diffusion in Deterministic Interacting Lattice Systems

Abstract

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