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  • Format: ePub

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,…mehr

Produktbeschreibung
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 they provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.


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Autorenporträt
Dan Mazilu is an associate professor of physics at Washington and Lee University, where he has been since 2008.

Irina Mazilu is a professor of physics at Washington and Lee University, which she joined in 2004.

Thomas Williams earned his BS and PhD in physics from the University of Virginia. He spent time at the National Bureau of Standards, the Universität Erlangen-Nurnberg and Kaman Sciences. Following this, he spent the majority of his career at Washington and Lee University.