Information potential and transition to criticality for certain two-species chemical systems

Bernard Gaveau, Michel Moreau and Janos Toth

Physica A: Statistical Mechanics and its Applications, 2000, vol. 277, issue 3, 455-468

Abstract: Using the general results of the stochastic theory of chemical systems, we consider a certain model of chemical reactions with two species, for which it is possible to calculate the first passage time explicitly and study the transition to criticality. Our method uses a non-standard Hamilton Jacobi theory for the master equation, introduced initially by Kubo et al. [J. Stat. Phys. 9 (1973) 51], which leads to solvable Hamiltonian systems.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:277:y:2000:i:3:p:455-468

DOI: 10.1016/S0378-4371(99)00429-X

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