Monte Carlo Methods for the Self-Avoiding Walk
TLDR
A pedagogical review of Monte Carlo methods for self-avoiding walks can be found in this article, with emphasis on the extraordinarily efficient algorithms developed over the past decade and a review of the most popular algorithms.Abstract:
This article is a pedagogical review of Monte Carlo methods for the self-avoiding walk, with emphasis on the extraordinarily efficient algorithms developed over the past decade.read more
Citations
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Journal ArticleDOI
Optimal shapes of compact strings
TL;DR: This problem is a mathematical idealization of situations commonly encountered in biology, chemistry and physics, involving the optimal structure of folded polymeric chains, and finds that, in cases where boundary effects are not dominant, helices with a particular pitch-radius ratio are selected.
Journal ArticleDOI
Bayesian inference for compact binary coalescences with bilby: validation and application to the first LIGO–Virgo gravitational-wave transient catalogue
I. M. Romero-Shaw,C. Talbot,C. Talbot,Sylvia Biscoveanu,V. D'Emilio,Gregory Ashton,Christopher P. L. Berry,Christopher P. L. Berry,S. B. Coughlin,S. Galaudage,Charlie Hoy,M. T. Hübner,K. S. Phukon,Matthew Pitkin,M. Rizzo,Nikhil Sarin,Rory Smith,S. P. Stevenson,A. Vajpeyi,M. Arène,K. Athar,S. Banagiri,N. Bose,M. F. Carney,Katerina Chatziioannou,John A. Clark,Marta Colleoni,R. Cotesta,B. Edelman,Héctor Estellés,Cecilio García-Quirós,Abhirup Ghosh,R. Green,Carl-Johan Haster,Sascha Husa,David Keitel,A. X. Kim,F. Hernandez-Vivanco,I. Magaña Hernandez,Christos Karathanasis,Paul D. Lasky,N. De Lillo,Marcus E. Lower,Marcus E. Lower,D. M. Macleod,M. Mateu-Lucena,A. L. Miller,A. L. Miller,Margaret Millhouse,Soichiro Morisaki,Seog Oh,S. Ossokine,Ethan Payne,Jade Powell,Geraint Pratten,M. Pürrer,Antoni Ramos-Buades,Vivien Raymond,Eric Thrane,John Veitch,David A. Williams,Michael Williams,L. Xiao +62 more
TL;DR: This work demonstrates that bilby produces reliable results for simulated gravitational-wave signals from compact binary mergers, and verify that it accurately reproduces results reported for the 11 GWTC-1 signals.
Journal ArticleDOI
Geometry and symmetry presculpt the free-energy landscape of proteins.
TL;DR: This work shows that the inherent anisotropy of a chain molecule, the geometrical and energetic constraints placed by the hydrogen bonds and sterics, and hydrophobicity are sufficient to yield a free-energy landscape with broad minima even for a homopolymer.
Journal ArticleDOI
Molecular and Mesoscale Simulation Methods for Polymer Materials
Sharon C. Glotzer,Wolfgang Paul +1 more
TL;DR: In this article, the authors provide an overview of some of the more popular simulation methods for modeling polymeric materials and their properties and behavior, as well as the structural properties that lead to them.
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Evidence for a link between global lightning activity and upper tropospheric water vapour
TL;DR: It is suggested that upper-tropospheric water-vapour changes can be inferred from records of global lightning activity, readily obtained from observations at a single location on the Earth's surface.
References
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Book
The self-avoiding walk
Neal Madras,Gordon Slade +1 more
TL;DR: A unified account of the rigorous results for the self-avoiding walk, focusing on its critical behaviour, is given in this article, where the lace explosion and its application in more than four dimensions where most issues are now resolved.
Book
Monte Carlo and molecular dynamics simulations in polymer science
TL;DR: In this article, Monte Carlo Methods for the Self-Avoiding Walk and Monte Carlo Simulation of Neutral and Charged Polymer Solutions: Effects of Long-range Interactions are presented.
Journal ArticleDOI
The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk
Neal Madras,Alan D. Sokal +1 more
TL;DR: This paper finds that the pivot algorithm is extraordinarily efficient: one “effectively independent” sample can be produced in a computer time of orderN, and presents a rigorous proof of ergodicity and numerical results on self-avoiding walks in two and three dimensions.
Book ChapterDOI
Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms
TL;DR: These notes are an updated version of lectures given at the Cours de Troisieme Cycle de la Physique en Suisse Romande (Lausanne, Switzerland) in June 1989.
Journal ArticleDOI
Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
TL;DR: In this paper, it was shown that the q-state Potts model and then-vector model are equivalent to a Coulomb gas with an asymmetry between positive and negative charges.