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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
Complex field reversal dynamics in nanomagnetic systems
09 Feb 2023
TL;DR: In this paper , the Glauber mean-field model is used to understand how systems of nanomagnets evolve when opposed by external magnetic fields, which can be expressed in an analytical form in the case of one-dimensional chains and trees at zero temperature.
Dynamics and Processing in Finite Self-Similar Networks
TL;DR: In this article, the authors analyzed the relationship between topology and signaling in contrasting classes of such topologies and found that networks differ in their ability to contain or propagate signals between arbitrary nodes in a network depending on whether they possess branching or loop-like features.
Evolutionary dynamics in finite populations with zealots
Yohei Nakajima,Naoki Masuda +1 more
TL;DR: In this paper, the evolutionary dynamics of two-strategy matrix games with zealots in finite populations were investigated, and the fixation time was divided into three main regimes: short fixation time, exponential fixation time and long fixation time.
Graphs
15 Jun 2022
TL;DR: In this paper , the authors put aside random graphs, statistical ensembles, and probabilities for a while in favour of individual graphs while introducing necessary basic notions, such as isomorphic hypergraphs.
First-passage time statistics for non-linear diffusion
Przemyslaw Chelminiak
- 22 Nov 2022
TL;DR: In this article , the authors consider the non-linear diffusion equation and derive exact and approximate expressions for the survival probability and the first-passage time distribution along with its asymptotic representation.
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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