Free Energy and Self-Interacting Particles


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This book examines a nonlinear system of parabolic partial differential equations (PDEs) arising in mathematical biology and statistical mechanics. In the context of biology, the system typically describes the chemotactic feature of cellular slime molds. One way of deriving these equations is via the random motion of a particle in a cellular automaton. In statistical mechanics, on the other hand, the system is associated with the motion of the mean field of self-interacting particles under gravitational force. Physically, ...

Free Energy and Self-Interacting Particles 2005, Birkhauser, Boston, MA

ISBN-13: 9780817643027

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