Relaxation processes in long-range lattices
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), 10.1103/PhysRevLett.110.170603]. Non-Markovian effects are shown to play an important role in the relaxation of systems of up to thousands of particles.
- Publication:
-
Physical Review E
- Pub Date:
- October 2019
- DOI:
- 10.1103/PhysRevE.100.042123
- Bibcode:
- 2019PhRvE.100d2123F