From Complex to Simple: Interdisciplinary Stochastic Models
Thomas Williams (Washington and Lee University, USA),Irina Mazilu (Washington and Lee University, USA),Dan Mazilu (Washington and Lee University, USA)
From Complex to Simple: Interdisciplinary Stochastic Models
Thomas Williams (Washington and Lee University, USA),Irina Mazilu (Washington and Lee University, USA),Dan Mazilu (Washington and Lee University, USA)
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This book presents simple interdisciplinary stochastic models meant as a gentle introduction to the field of non-equilibrium statistical physics. It focuses on the analysis of two-state models with cooperative effects, which are versatile enough to be applied to many physical and social systems. The book also explores a variety of mathematical techniques to solve the master equations that govern these models: matrix theory, empty-interval methods, mean field theory, a quantum approach, and mapping onto classical Ising models. The models discussed are at the confluence of nanophysics, biology, mathematics, and the social sciences and provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.
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