Finite-Size-Scaling Studies of Reaction-Diffusion Systems Part II: Open Boundary Conditions

Haye Hinrichsen; Klaus Krebs; Markus Pfannmueller; Birgit Wehefritz

Finite-Size-Scaling Studies of Reaction-Diffusion Systems Part II: Open Boundary Conditions

Condensed Matter 2007-05-23 v1

Authors: Haye Hinrichsen , Klaus Krebs , Markus Pfannmueller , Birgit Wehefritz

Abstract

We consider the coagulation-decoagulation model on an one-dimensional lattice of length $L$ with open boundary conditions. Based on the empty interval approach the time evolution is described by a system of $\frac{L(L+1)}{2}$ differential equations which is solved analytically. An exact expression for the concentration is derived and its finite-size scaling behaviour is investigated. The scaling function is found to be independent of initial conditions. The scaling function and the correction function for open boundary conditions are different from those for periodic boundary conditions.

Keywords

finite-size scaling reaction-diffusion coagulation-decoagulation model open boundary conditions empty interval method scaling function

Cite

@article{arxiv.cond-mat/9402018,
  title  = {Finite-Size-Scaling Studies of Reaction-Diffusion Systems Part II: Open Boundary Conditions},
  author = {Haye Hinrichsen and Klaus Krebs and Markus Pfannmueller and Birgit Wehefritz},
  journal= {arXiv preprint arXiv:cond-mat/9402018},
  year   = {2007}
}

Comments

13 pages, LaTeX, 2 figures uuencoded, BONN HE-94-01

Finite-Size-Scaling Studies of Reaction-Diffusion Systems Part II: Open Boundary Conditions

Abstract

Keywords

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