title: Dynamics of the chemical master equation, a strip of chains of equations in d-dimensional space.
abstract: We investigate the multichain version of the chemical master equation, when there are transitions between different states inside the long chains, as well as transitions between (a few) different chains. In the discrete version, such a model can describe the connected diffusion processes with jumps between different types. We apply the Hamilton-Jacobi equation to solve some aspects of the model. We derive exact (in the limit of infinite number of particles) results for the dynamic of the maximum of the distribution and the variance of distribution.
authors.affiliation: Quantum College, Bagratunyats 23/2, Yerevan 0046, Armenia.
authors.forename: Vahe
authors.initials: V
authors.lastname: Galstyan
authors.forename: David B
authors.initials: DB
authors.lastname: Saakian
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical