Accession Number : AD0778623

Title :   Fluctuations and Transitions at Chemical Instabilities: The Analogy to Phase Transitions.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND PROJECT SQUID HEADQUARTERS

Personal Author(s) : Nitzan,Abraham ; Ortoleva,Peter ; Deutch,John ; Ross,John

Report Date : MAR 1974

Pagination or Media Count : 93

Abstract : The properties of a reacting system near an instability are investigated and the analogy between transitions in unstable systems and equilibrium phase transitions is developed in detail. The set of macroscopic steady state rate equations plays the role of an equation of state. The bifurcation points of this set are analogous to transition and critical points of equilibrium phase transitions. Hard transitions of unstable systems correspond to first order and soft transitions to second and higher order phase transitions. Critical exponents are defined for those properties of the unstable systems which are singular at the transition points, and relations between these critical exponents are investigated. Critical fluctuations are studied with stochastic analogs of the macroscopic rate equations. Both master and Langevin equations are considered. (Modified author abstract)

Descriptors :   *Reaction kinetics, *Phase transformations, Rates, Equations of state, Chemical reactions, Instability, Chemical equilibrium, Steady state, Theory

Subject Categories : Physical Chemistry

Distribution Statement : APPROVED FOR PUBLIC RELEASE