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Stochastic Nonlinear Systems in Physics, Chemistry, and Biology : Proceedings of the Workshop Bielefeld, Fed. Rep. of Germany, October 5-11, 1980

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概要 This book contains the invited papers of the interdisciplinary workshop on "Stochastic Nonlinear Systems in Physics, Chemistry and Biology" held at the Center for Interdisciplinary Research (ZIF), Uni...versity of Bielefeld, West Germany, October 5-11, 1980. The workshop brought some 25 physicists, chemists, and biologists - who deal with stochastic phenomena - and about an equal number of mathematicians - who are experts in the theory of stochastic processes - together. The Scientific Commitee consisted of L. Arnold (Bremen), A. Dress (Bielefeld), W. Horsthemke (Brussels), T. Kurtz (Madison), R. Lefever (Brussels), G. Nicolis (Brussels), and V. Wihstutz (Bremen). The main topics of the workshop were the transition from deterministic to stoch astic behavior, external noise and noise induced transitions, internal fluctuations, phase transitions, and irreversible thermodynamics, and on the mathematical side, approximation of stochastic processes, qualitative theory of stochastic systems, and space-time processes. The workshop was sponsored by ZIF, Bielefeld, and by the Universities of Bremen and Brussels. We would like to thank the staff of ZIF and H. Crauel and M. Ehrhardt (Bremen) for the perfect organization and their assistance. In addition, our thanks go to Professor H. Haken for having these Proceedings included in the Se ries in Synergetics. Bremen and Brussels L. Arnold and R. Lefever December 1980 v Contents Part I. Introduction: From Deterministic to Stochastic Behavior On the Foundations of Kinetic Theory By B. Misr~ and I. Prigogine (With 1 Figure) ............................. .続きを見る
目次 I. Introduction: From Deterministic to Stochastic Behavior
On the Foundations of Kinetic Theory
Transition Phenomena in Nonlinear Systems
II. Approximation of Stochastic Processes
Approximation of Discontinuous Processes by Continuous Processes
On the Asymptotic Behavior of Motions in Random Flows
III. Description of Internal Fluctuations
Some Aspects of Fluctuation Theory in Nonequilibrium Systems
Aspects of Classical and Quantum Theory of Stochastic Bistable Systems
Kinetics of Phase Separation
Chemical Instabilities and Broken Symmetry: The Hard Mode Case
IV. Long-Term Behavior of Stochastic Systems
Asymptotic Behavior of Several Dimensional Diffusions
Qualitative Theory of Stochastic Nonlinear Systems
V. External Fluctuations and Noise Induced Transitions
Noise Induced Transitions
Noise Induced Transitions in Biological Systems
Multiplicative Ornstein Uhlenbeck Noise in Nonequilibrium Phenomena
VI. Stochastic Behavior in Model Systems
Weak Turbulence in Deterministic Systems
Stochastic Problems in Population Genetics: Applications of Itô's Stochastic Integrals
Poisson Processes in Biology
VII. Space-Time Processes and Stochastic Partial Differential Equations
Linear Stochastic Evolution Equation Models for Chemical Reactions
Stochastic Measure Processes
VIII. Phase Transitions and Irreversible Thermodynamics
Stochastic Methods in Non-Equilibrium Thermodynamics
Fluctuation Dynamics Near Chemical Instabilities
Transition Phenomena in Nonlinear Optics
IX. Markov Processes and Time Reversibility
Time-Reversibility in Dynamical Systems
List of Participants
Index of Contributors.
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登録日 2020.06.27
更新日 2020.06.28