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arXiv · 1906.03535

Relaxation Processes in Long-Range Lattices

T. M. Rocha Filho·R. Bachelard
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Abstract

The relaxation to equilibrium of lattice systems with long-range interactions is investigated. The timescales involved depend polynomially on the system size, potentially leading to diverging equilibration times. A kinetic equation for long-range lattices is proposed, which explain these timescales as well as a threshold in the interaction range reported in [Phys. Rev. Lett. 110, 170603 (2013)]. Non-Markovian effects are shown to play an important role in the relaxation of systems of up to thousands of particles.

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T. M. Rocha Filho, R. Bachelard. 2019-06-08. Relaxation Processes in Long-Range Lattices. https://doi.org/10.1103/physreve.100.042123

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