ISSN:
1572-9613
Keywords:
Master equation
;
Markovian limit
;
hard points in one dimension
;
irreversibility
;
reaction-diffusion kinetics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We consider a (deterministic, conservative) one-dimensional system of colored hard points, changing color each time they hit one another with a relative velocity above a threshold. In the limit of rare reactions, theN-particle color distribution follows a Markovian birth-and-death process. Using the reaction rate as an intrinsic time scale, we also obtain the reaction-diffusion equation for a test particle in this hydrodynamic limit. Explicit results are given for a discrete and a Maxwellian velocity distribution.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01010501
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