The uses of quantum field theory in diffusion-limited reactions

DC Mattis, ML Glasser - Reviews of Modern Physics, 1998 - APS
The techniques of quantum field theory on a lattice are used to examine the diffusion and
reaction processes of particles in a solid, such as vacancies or interstitials, or chemical …

Lattice gas automata for reactive systems

JP Boon, D Dab, R Kapral, A Lawniczak - Physics reports, 1996 - Elsevier
Reactive lattice gas automata provide a microscopic approach to the dynamics of spatially-
distributed reacting systems. An important virtue of this approach is that it offers a method for …

Fractal reaction kinetics

R Kopelman - science, 1988 - science.org
Classical reaction kinetics has been found to be unsatisfactory when the reactants are
spatially constrained on the microscopic level by either walls, phase boundaries, or force …

Reaction front in an reaction-subdiffusion process

SB Yuste, L Acedo, K Lindenberg - Physical Review E, 2004 - APS
We study the reaction front for the process A+ B→ C in which the reagents move
subdiffusively. Our theoretical description is based on a fractional reaction-subdiffusion …

Monte Carlo simulations of enzyme reactions in two dimensions: fractal kinetics and spatial segregation

H Berry - Biophysical journal, 2002 - cell.com
Conventional equations for enzyme kinetics are based on mass-action laws, that may fail in
low-dimensional and disordered media such as biological membranes. We present Monte …

[BUCH][B] Modeling in biopharmaceutics, pharmacokinetics and pharmacodynamics: homogeneous and heterogeneous approaches

P Macheras, A Iliadis - 2016 - books.google.com
The state of the art in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics
Modeling is presented in this new second edition book. It shows how advanced physical and …

Asymptotic behavior of densities in diffusion-dominated annihilation reactions

M Bramson, JL Lebowitz - Physical review letters, 1988 - APS
We obtain rigorous bounds on the long-time behavior of the densities ρ A (t) and ρ B (t) of
species A and B, which diffuse and annihilate upon meeting, ie, A+ B→ inert. For equal …

[BUCH][B] Modern aspects of diffusion-controlled reactions: Cooperative phenomena in bimolecular processes

E Kotomin, V Kuzovkov - 1996 - books.google.com
This monograph deals with the effects of reactant spatial correlations arising in the course of
basic bimolecular reactions describing defect recombination, energy transfer and exciton …

Interparticle distribution functions and rate equations for diffusion-limited reactions

CR Doering, D Ben-Avraham - Physical Review A, 1988 - APS
We study the spatial interparticle distribution function in diffusion-limited reactions and its
effect on the macroscopic reaction rate. For an exactly soluble model we find that a universal …

Steady-state distribution of generalized aggregation system with injection

H Takayasu - Physical review letters, 1989 - APS
We consider the kinetics of a steady-state aggregation process in which the basic dynamical
variable is a ''charge''which can assume both positive and negative values. We rigorously …