A new Hamilton-Jacobi approach for chemical fluctuations

M.O. Vlad, E. Segal and V.T. Popa

Physica A: Statistical Mechanics and its Applications, 1984, vol. 127, issue 1, 333-343

Abstract: A new method for the analysis of composition fluctuations in open chemical systems is suggested. Using the scaled reaction extents ξj = ΞjV as state variables, the probability ψ(n, t) of a composition n = NV is expressed in terms of the initial distribution ψ(n, t = 0) = ψ0(n) and of the conditional probability Π(ξ, tn, t = 0). On the other hand, Π(ξ, tn, 0) may be determined from the initial condition π(ξ(t = 0) = ξ0n(t = 0) = n0), applying the Kubo-Matsuo-Kitahara approximation.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:127:y:1984:i:1:p:333-343

DOI: 10.1016/0378-4371(84)90135-3

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