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most citedExact Results for Diffusion-Limited Reactions with Synchronous Dynamics

46 citations · 157 across the 10 of their papers we have counts for

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cond-mat1994★ 13 cited

Multiparticle Reactions with Spatial Anisotropy

Vladimir Privman, Enrique Burgos, Marcelo D. Grynberg

We study the effect of anisotropic diffusion on the one-dimensional annihilation reaction kA->inert with partial reaction probabilities when hard-core particles meet in groups of k…

cond-mat1993★ 46 cited

Exact Results for Diffusion-Limited Reactions with Synchronous Dynamics

Vladimir Privman

A new method is introduced allowing to solve exactly the reactions A+A->inert and A+A->A on the 1D lattice with synchronous diffusional dynamics (simultaneous hopping of all partic…

cond-mat1993★ 29 cited

Crossover from Rate-Equation to Diffusion-Controlled Kinetics in Two-Particle Coagulation

V. Privman, C. R. Doering, H. L. Frisch

We develop an analytical diffusion-equation-type approximation scheme for the one-dimensional coagulation reaction A+A->A with partial reaction probability on particle encounters w…

cond-mat1993★ 6 cited

Irreversible Multilayer Adsorption

P. Nielaba, V. Privman, J. -S. Wang

Random sequential adsorption (RSA) models have been studied due to their relevance to deposition processes on surfaces. The depositing particles are represented by hard-core extend…

cond-mat1992★ 19 cited

Morphology of Amorphous Layers Ballistically Deposited on a Planar Substrate

B. D. Lubachevsky, V. Privman, S. C. Roy

We report numerical simulation of the deposition of spherical particles on a planar surface, by ballistic, straight-line trajectory transport, and assuming irreversible adhesion on…

cond-mat1992★ 16 cited

Exact Results for a Three-Body Reaction-Diffusion System

Vladimir Privman

A system of particles hopping on a line, singly or as merged pairs, and annihilating in groups of three on encounters, is solved exactly for certain symmetrical initial conditions.…