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19 April 2024
 
  » arxiv » cond-mat/0010062

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Exact solution of a reaction-diffusion process with three-site interactions
Malte Henkel ; Haye Hinrichsen ;
Date 4 Oct 2000
Journal J. Phys. A34, 1561-1568 (2001)
Subject Statistical Mechanics; Mathematical Physics; Exactly Solvable and Integrable Systems | cond-mat.stat-mech hep-th math-ph math.MP nlin.SI
AbstractThe one-dimensional reaction diffusion process AA->A and A0A->AAA is exactly solvable through the empty interval method if the diffusion rate equals the coagulation rate. Independently of the particle production rate, the model is always in the universality class of diffusion-annihilation. This allows us to check analytically the universality of finite-size scaling in a non-equilibrium critical point.
Source arXiv, cond-mat/0010062
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