Non-equilibrium transitions and stationary probability distributions of stochastic processes
作者： W. Ebeling
DOI: 10.1016/0375-9601(78)90618-7
关键词: Statistical physics 、 Catastrophe theory 、 Physics 、 Stationary distribution 、 Continuous-time stochastic process 、 Stochastic process 、 Stable process 、 Stationary sequence 、 Convolution of probability distributions 、 Probability distribution
摘要: Abstract Examples for transitions in one-dimensional enzyme-reaction systems and two-dimensional limit-cycle are discussed. Considering the stationary probability distributions as a kind of potential, concepts catastrophe theory applied to study possible types transitions.
harvard.edu
elsevier.com
sci-hub.se 参考文章(5)
R.G. Medhurst, Topics in the Theory of Random Noise Electronics and Power. ,vol. 15, pp. 30- ,(1969) , 10.1049/EP.1969.0039
G. Nicolis, J. W. Turner, EFFECT OF FLUCTUATIONS ON BIFURCATION PHENOMENA Annals of the New York Academy of Sciences. ,vol. 316, pp. 251- 262 ,(1979) , 10.1111/J.1749-6632.1979.TB29473.X
G. Nicolis, R. Lefever, Comment on the kinetic potential and the maxwell construction in non-equilibrium chemical phase transitions Physics Letters A. ,vol. 62, pp. 469- 471 ,(1977) , 10.1016/0375-9601(77)90069-X
G. Czajkowski, W. Ebeling, Non-Equilibrium Phase Transitions in Enzyme Reaction Systems Journal of Non-Equilibrium Thermodynamics. ,vol. 2, pp. 1- 16 ,(1977) , 10.1515/JNET.1977.2.1.1
Rene Thom, Structural Stability and Morphogenesis ,(1975)