Single-file diffusion with non-thermal initial conditions

Abstract

Single-file diffusion is a theoretically challenging many-body problem where the calculation of even the simplest observables, e.g. mean square displacement, for a tracer particle requires a heavy mathematical machinery. There is therefore a need for simple approaches which predict qualitatively correct behaviours. Here we put forward one such method which we use to investigate the influence of non-thermal initial conditions on the dynamics of a tracer particle. With our new approach we reproduce, up to scaling, several known asymptotic results for the tracer particle mean square displacement.

4 pages, 1 figure

References in corpus (4)

• From random walk to single-file diffusion
• Single-File diffusion in a Box
• The Lasting Effect of Initial Conditions on Single File Diffusion
• Langevin formulation for single-file diffusion

Cited by in corpus (7)

• Large Deviations in Single File Diffusion
• Aging Wiener-Khinchin Theorem
• Large deviations of a tracer in the symmetric exclusion process
• Tracer diffusion in crowded narrow channels. Topical review
• Aging Wiener-Khinchin Theorem and Critical Exponents of $1/f$ Noise
• First-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems
• Tagged-Particle Statistics in Single-File Motion with Random-Acceleration and Langevin Dynamics