Free Energy and Self-interacting Particles 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Suzuki, Takashi 作者

Springer Verlag

譯者

2005-5 出版日期

380 頁數

$ 152.55 價格

HRD

叢書系列

9780817643027 圖書編碼

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發表於2024-11-09

Free Energy and Self-interacting Particles 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Free Energy and Self-interacting Particles 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Free Energy and Self-interacting Particles 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Free Energy and Self-interacting Particles 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Free Energy and Self-interacting Particles 在線電子書圖書描述

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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