The finite-size scaling function and the leading corrections for the single species 1D coagulation model (A + A #-># A) and the annihilation model (A + A #-># 0) 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. (orig.)Available from TIB Hannover: RN 5063(93-51) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
Scaling has been a fascinating research area in statistical physics for decades since the pioneering...
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Communication to : The Workshop on Dynamics of First Order Transitions, HLRZ, Germany, june 1-3, 199...
The scaling exponent and scaling function for the 1D single species coagulation model (A + A #->#...
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We look for similarity transformations which yield mappings between different one-dimensional reacti...
Extensive simulations are performed of the diffusion-limited reaction A+B→0 in one dimension, with i...
The mean-field description of the steady state of the fully asymmetric exclusion model is derived. T...
We derive quantitative error estimates for coupled reaction-diffusion systems, whose coefficient fun...
The finite-size effect is studied in the Kasteleyn model of dimers on the brick lattice. This model ...
We study reaction-diffusion systems which involve processes that occur on different time scales. In ...
A field-theoretical model describing simple one-species reaction-diffusion systems [A+A→O (inert) or...
Over the past few years, finite-size scaling has become an increasingly important tool in studies of...
We analyze the long time behavior of an initial value problem that models a chemical reaction-diffus...
We review our scaling results for the diffusion-limited reactions A + A → 0 and A+B→0 on Euclidean a...
Scaling has been a fascinating research area in statistical physics for decades since the pioneering...
We study reaction zones in three different versions of the A+B0 system. For a steady state formed by...
Communication to : The Workshop on Dynamics of First Order Transitions, HLRZ, Germany, june 1-3, 199...
The scaling exponent and scaling function for the 1D single species coagulation model (A + A #->#...
We consider the coagulation-decoagulation model on an one-dimensional lattice of length L with open ...
We look for similarity transformations which yield mappings between different one-dimensional reacti...
Extensive simulations are performed of the diffusion-limited reaction A+B→0 in one dimension, with i...
The mean-field description of the steady state of the fully asymmetric exclusion model is derived. T...
We derive quantitative error estimates for coupled reaction-diffusion systems, whose coefficient fun...
The finite-size effect is studied in the Kasteleyn model of dimers on the brick lattice. This model ...
We study reaction-diffusion systems which involve processes that occur on different time scales. In ...
A field-theoretical model describing simple one-species reaction-diffusion systems [A+A→O (inert) or...
Over the past few years, finite-size scaling has become an increasingly important tool in studies of...
We analyze the long time behavior of an initial value problem that models a chemical reaction-diffus...
We review our scaling results for the diffusion-limited reactions A + A → 0 and A+B→0 on Euclidean a...
Scaling has been a fascinating research area in statistical physics for decades since the pioneering...
We study reaction zones in three different versions of the A+B0 system. For a steady state formed by...
Communication to : The Workshop on Dynamics of First Order Transitions, HLRZ, Germany, june 1-3, 199...