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The Self-Avoiding Walk
Neal Madras, Gordon Slade (Broschiert, Englisch)
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Beschreibung
A self-avoiding walk is a path on a lattice that does not visit the same site more than once. In spite of this simple definition, many of the most basic questions about this model are difficult to resolve in a mathematically rigorous fashion. In particular, we do not know much about how far an n step self-avoiding walk typically travels from its starting point, or even how many such walks there… are. These and other important questions about the self-avoiding walk remain unsolved in the rigorous mathematical sense, although the physics and chemistry communities have reached consensus on the answers by a variety of nonrigorous methods, including computer simulations. But there has been progress among mathematicians as well, much of it in the last decade, and the primary goal of this book is to give an account of the current state of the art as far as rigorous results are concerned. A second goal of this book is to discuss some of the applications of the self-avoiding walk in physics and chemistry, and to describe some of the nonrigorous methods used in those fields. The model originated in chem istry several decades ago as a model for long-chain polymer molecules. Since then it has become an important model in statistical physics, as it exhibits critical behaviour analogous to that occurring in the Ising model and related systems such as percolation. 106,99 €
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Technische Daten
Erscheinungsdatum
28.08.1996
Sprache
Englisch
EAN
9780817638917
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Probability and Its Applications (duplicate)
Sonderedition
Nein
Autor
Neal Madras, Gordon Slade
Seitenanzahl
427
Einbandart
Broschiert
Schlagwörter
Probability, Walk, algorithms, Brownian motion, computer simulation, finite-dimensional distribution, loop-erased random walk, Mathematica, Monte Carlo method, probability, Random Walk, renewal theory, statistical physics
Thema-Inhalt
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBWL - Stochastik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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