Enhanced diffusion and the eigenvalue band structure of Brownian motion in tilted periodic potentials

Autor:	Michael W. Jack, K. J. Challis, N. J. López-Alamilla
Rok vydání:	2020
Předmět:	Physics Classical mechanics Band gap Observable Diffusion (business) Electronic band structure Maxima Eigenvalues and eigenvectors Brownian motion Connection (mathematics)
Zdroj:	Physical Review E. 102
ISSN:	2470-0053 2470-0045
Popis:	We consider enhanced diffusion for Brownian motion on a tilted periodic potential. Expressing the effective diffusion in terms of the eigenvalue band structure, we establish a connection between band gaps in the eigenspectrum and enhanced diffusion. We explain this connection for a simple cosine potential with a linear force and then generalize to more complicated potentials including one-dimensional potentials with multiple frequency components and nonseparable multidimensional potentials. We find that potentials with multiple band gaps in the eigenspectrum can lead to multiple maxima or broadening of the force-diffusion curve. These features are likely to be observable in experiments.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3bf74e5f0ed51dac9b9becc1c7a3003 https://doi.org/10.1103/physreve.102.042405 Zobrazit plný text záznamu