Related Experiment Video
Updated: Aug 4, 2026

An Inverse Analysis Approach to the Characterization of Chemical Transport in Paints
Published on: August 29, 2014
Exact solution of a reaction-diffusion model with particle-number conservation
1Physics Department, Bu-Ali Sina University, Hamadan, Iran. farhad@ipm.ir
Abstract:
We analytically investigate a one-dimensional branching-coalescing model with reflecting boundaries in a canonical ensemble where the total number of particles on the chain is conserved. Exact analytical calculations show that the model has two different phases which are separated by a second-order phase transition. The thermodynamic behavior of the canonical partition function of the model has been calculated exactly in each phase. Density profiles of particles have also been obtained explicitly. It is shown that the exponential part of the density profiles decays on three different length scales which depend on the total density of particles.
Related Concept Videos
Reaction Quotient
Free Energy Changes for Nonstandard States
Chemical Equilibria: Systematic Approach to Equilibrium Calculations
The first step is to identify all the chemical reactions involved, The...
Reaction Mechanisms: Rate-limiting Step Approximation
Reaction Mechanisms: The Steady-State Approximation
Consecutive Reactions

