Free Energy and Self-interacting Particles 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Suzuki, Takashi 作者

Springer Verlag

译者

2005-5 出版日期

380 页数

$ 152.55 价格

HRD

丛书系列

9780817643027 图书编码

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发表于2025-01-25

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Free Energy and Self-interacting Particles 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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Free Energy and Self-interacting Particles 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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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 the system is associated with the motion of the mean field of self-interacting particles under gravitational force. Physically, such a system is related to Langevin, Fokker-Planck, Liouville and gradient flow equations. Mathematically, the mechanism can be referred to as a quantized blowup. This book describes the whole picture, i.e., the mathematical and physical principles: derivation of a series of equations, biological modeling based on biased random walks, the study of equilibrium states via the variational structure derived from the free energy, and the quantized blowup mechanism based on several PDE techniques.

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