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  • 09월 04일 17시 이후 : 초록수정 불가능, 일정확인 및 검색만 가능

제114회 대한화학회 학술발표회, 총회 및 기기전시회 Contrasted fluctuations in product number: Non-renewal versus renewal birth process

2014년 8월 28일 16시 17분 32초
PHYS.P-448 이곳을 클릭하시면 발표코드에 대한 설명을 보실 수 있습니다.
10월 15일 (수요일) 16:00~19:00
저자 및
양길석, 김지현*, 성재영*
중앙대학교 화학과, Korea
The conventional reaction kinetics with rate constants no longer can provide an exact description of product number statistics when reaction times are distributed in a non-Poissonian manner. Depending on if individual reaction times are correlated with each other, non-Poisson statistics of reaction times can be classified as non-renewal and renewal processes. The former can be generated by considering a general situation where reaction rates are coupled to environmental fluctuation. In this case, we study how the product number fluctuation is influenced by stochastic properties of the environmental process and product decay rate. Based on a generalized master equation where creation rate is not a constant but a stochastic variable, a series of moments characterizing the counting statistics of product molecules can be exactly calculated. Our analyses show that the non-Poisson indicator,Δ(t) defined by the difference between variance and mean of product number at time t undergoes a kinetic phase transition from fully heterogeneous phase to pure renewal-like phase. It is shown that depending on product decay rate, variation in the relaxation rate of associated environmental variable can greatly amplify or depress the product number fluctuation quantified by the maximum Mandel’s Q parameter over time, Q(t*) in comparison with the randomness, R of reaction time interval distribution. The renewal counterpart defined by the distributions of first reaction time and time interval between two consecutive reaction events, which are obtained from the non-renewal case, shows a similar qualitative behavior in terms of Δ(t) but the magnitude of Q(t*) cannot be greater than that of R, which is distinctly contrasted to the non-renewal case.