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Finite-Size Scaling Studies of Reaction-Diffusion Systems, Part I: Periodic Boundary Conditions

Klaus Krebs·Markus Pfannmueller·Birgit Wehefritz
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Abstract

The finite-size scaling function and the leading corrections for the single species 1D coagulation model $(A + A \rightarrow A)$ and the annihilation model $(A + A \rightarrow \emptyset)$ are calculated. The scaling functions are universal and independent of the initial conditions but do depend on the boundary conditions. A similarity transformation between the two models is derived and used to connect the corresponding scaling functions.

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Klaus Krebs, Markus Pfannmueller, Birgit Wehefritz. 1994-03-02. Finite-Size Scaling Studies of Reaction-Diffusion Systems, Part I: Periodic Boundary Conditions. https://arxiv.org/abs/cond-mat/9402017

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