Dispersionless transport in a washboard potential

We study and characterize a new dynamical regime of underdamped particles in a tilted washboard potential. We find that for small friction in a finite range of forces the particles move essentially nondispersively, that is, coherently, over long intervals of time. The associated distribution of the...

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Bibliographic Details
Authors: Lindenberg, K., Sancho, Jose Maria, Lacasta Palacio, Ana María|||0000-0002-9060-6043, Sokolov, Igor M.
Format: article
Publication Date:2007
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/2492
Online Access:https://hdl.handle.net/2117/2492
https://dx.doi.org/10.1103/PhysRevLett.98.020602
Access Level:Open access
Keyword:Statistical Mechanics
Condensed matter
Diffusion
Nonlinear systems
Kramers problem
Nonlinear dynamics
Transport on surfaces
Washboard potential
Matèria condensada
Difusió -- Models matemàtics
Àrees temàtiques de la UPC::Física
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
Description
Summary:We study and characterize a new dynamical regime of underdamped particles in a tilted washboard potential. We find that for small friction in a finite range of forces the particles move essentially nondispersively, that is, coherently, over long intervals of time. The associated distribution of the particle positions moves at an essentially constant velocity and is far from Gaussian-like. This new regime is complementary to, and entirely different from, well-known nonlinear response and large dispersion regimes observed for other values of the external force.