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

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

1994-02-04

arxiv.org/abs/cond-mat/9402017v2

Physics

Condensed Matter

(LaTeX problems fixed) 34 pages, LaTeX, BONN HE-93-51

Scientific paper

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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