Open AccessBook
A Kinetic View of Statistical Physics
Pavel L. Krapivsky,Sidney Redner,Eli Ben-Naim +2 more
- 01 Jan 2010
TL;DR: In this paper, the authors focus on the development and application of theoretical methods to help students develop their problem-solving skills in non-equilibrium statistical physics, and present 200 exercises to test students' understanding of the subject.
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Abstract: Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics. It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039.
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Citations
Fluctuations in the Kinetics of Linear Protein Self-Assembly
Thomas C. T. Michaels,Alexander J. Dear,Julius B. Kirkegaard,Kadi L. Saar,David A. Weitz,Tuomas P. J. Knowles +5 more
TL;DR: The stochastic model of protein filament formation in small volumes is presented, showing that two principal regimes emerge for the system behavior, a small fluctuations regime close to bulk behavior and a large fluctuation regime characterized by single rare events.
39
Ordering dynamics of the multi-state voter model
TL;DR: This work derives mean-field analytical expressions for the exit probability, the consensus time, and the number of different states as a function of time for the case of an arbitrary number of states in the thermodynamic limit of the voter model.
Solution of the explosive percolation quest. II. Infinite-order transition produced by the initial distributions of clusters.
TL;DR: This article analyzes the evolution starting from clusters of nodes whose sizes are distributed according to a power law and obtains the critical singularity of susceptibility at this peculiar infinite-order transition in explosive percolation.
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Emergence of polarization in a voter model with personalized information
TL;DR: This work introduces an analytically tractable voter model with personalized information, in which an external field tends to align the agent opinion with the one she held more frequently in the past, which shows a surprisingly rich dynamics despite its simplicity.
38
Competing opinions and stubborness: Connecting models to data
TL;DR: A general contagionlike model for competing opinions that includes dynamic resistance to alternative opinions is introduced and it is shown that this model can describe candidate vote distributions, spatial vote correlations, and a slow approach to opinion consensus with sensible parameter values.
References
•Book
Nonequilibrium statistical mechanics
Robert Zwanzig
- 01 Jan 2001
TL;DR: The paradoxes of irreversibility as mentioned in this paper is a well-known problem in nonlinear problems, and it has been studied extensively in the literature for a long time, e.g. in the context of projection operators.
2.3K
A bibliography of L.E.J. Brouwer
TL;DR: The list below contains not only the scientific papers that appeared in journals or in book form, but also his contributions to newspapers, magazines, etc. as discussed by the authors, which can be found in the Appendix.
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