Spectral analysis of perturbed multiplication operators occuring in polymerisation chemistry. (English) Zbl 0689.45018

From the summary: “We consider a mathematical model for the motion of a marked monomer in a system of reacting polymers at equilibrium. A well- posed integro-differential initial value problem for the probability of finding the marked monomer in a molecule of a given length is formulated. We prove exponential convergence of the probability to a unique equilibrium distribution. A quite complete spectral analysis is carried out for a selfadjoint operator, which is a perturbation of a multiplication operator by an integral operator and is related to the generator of the time evolution.”
Reviewer: Yang En Hao


45J05 Integro-ordinary differential equations
82D60 Statistical mechanics of polymers
92Exx Chemistry
80A30 Chemical kinetics in thermodynamics and heat transfer
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