Nonlinear Response in the Driven Lattice Lorentz Gas

Autor:	Leitmann, Sebastian, Franosch, Thomas
Rok vydání:	2013
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Soft Condensed Matter
Zdroj:	Phys. Rev. Lett. 111, 190603 (2013)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.111.190603
Popis:	We determine the nonlinear time-dependent response of a tracer on a lattice with randomly distributed hard obstacles as a force is switched on. The calculation is exact to first order in the obstacle density and holds for arbitrarily large forces. Whereas, on the impurity-free lattice, the nonlinear drift velocity in the stationary state is analytic in the driving force, interactions with impurities introduce logarithmic contributions beyond the linear regime. The long-time decay of the velocity toward the steady state is exponentially fast for any finite value of the force, in striking contrast to the power-law relaxation predicted within linear response. We discuss the range of validity of our analytic results by comparison to stochastic simulations. Comment: 9 pages, Physical Review Letters, includes Supplemental Material
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.1321 Zobrazit plný text záznamu View this record from Arxiv