Diffusion in a one-dimensional gas of hard point particles |
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Authors: | Julio F Fernández J Marro |
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Institution: | (1) Departamento de Fisica Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain |
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Abstract: | We simulate the classical diffusion of a particle of massM in an infinite one-dimensional system of hard point particles of massm in equilibrium. Each computer run corresponds to about 108 collisions of the diffusive particle. We find that (t) 1/t
fort large enough, and a crossover from an M m regime where=2 to=3 forM=m. The diffusion constant has a sharp maximum atM=m. We study moments x(t)2 and x(t)4, and examine the behavior ofq
2
(t)=x(t)4/3x(t)22. We find thatq(t)1 (consistent with a normal distribution) in theM limit (for all timest) and in the t limit for allM.
On sabbatical leave from IVIC-Instituto Venezolano de Investigaciones Cientificas. |
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Keywords: | Diffusion autocorrelation functions long-time tails one dimension |
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