Finite Size Scaling And Numerical Simulation Of Statistical Systems

1990-01-01

Author : Vladimir Privman
Release : 1990-01-01
Genre :
Kind : eBook
Book Rating : 767/5 ( reviews)

Book Synopsis Finite Size Scaling And Numerical Simulation Of Statistical Systems by : Vladimir Privman

Download or read book Finite Size Scaling And Numerical Simulation Of Statistical Systems written by Vladimir Privman. This book was released on 1990-01-01. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Finite Size Scaling describes a build-up of the bulk properties when a small system is increased in size. This description is particularly important in strongly correlated systems where critical fluctuations develop with increasing system size, including phase transition points, polymer conformations. Since numerical computer simulations are always done with finite samples, they rely on the Finite Size Scaling theory for data extrapolation and analysis. With the advent of large scale computing in recent years, the use of the size-scaling methods has become increasingly important.

Monte Carlo Simulation in Statistical Physics

2013-11-11 Science

Author : Kurt Binder
Release : 2013-11-11
Genre : Science
Kind : eBook
Book Rating : 73X/5 ( reviews)

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Book Synopsis Monte Carlo Simulation in Statistical Physics by : Kurt Binder

Download or read book Monte Carlo Simulation in Statistical Physics written by Kurt Binder. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: When learning very formal material one comes to a stage where one thinks one has understood the material. Confronted with a "realiife" problem, the passivity of this understanding sometimes becomes painfully elear. To be able to solve the problem, ideas, methods, etc. need to be ready at hand. They must be mastered (become active knowledge) in order to employ them successfully. Starting from this idea, the leitmotif, or aim, of this book has been to elose this gap as much as possible. How can this be done? The material presented here was born out of a series of lectures at the Summer School held at Figueira da Foz (Portugal) in 1987. The series of lectures was split into two concurrent parts. In one part the "formal material" was presented. Since the background of those attending varied widely, the presentation of the formal material was kept as pedagogic as possible. In the formal part the general ideas behind the Monte Carlo method were developed. The Monte Carlo method has now found widespread appli cation in many branches of science such as physics, chemistry, and biology. Because of this, the scope of the lectures had to be narrowed down. We could not give a complete account and restricted the treatment to the ap plication of the Monte Carlo method to the physics of phase transitions. Here particular emphasis is placed on finite-size effects.

Theory of Critical Phenomena in Finite-size Systems

2000 Science

Author : ?ordan Brankov
Release : 2000
Genre : Science
Kind : eBook
Book Rating : 251/5 ( reviews)

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Book Synopsis Theory of Critical Phenomena in Finite-size Systems by : ?ordan Brankov

Download or read book Theory of Critical Phenomena in Finite-size Systems written by ?ordan Brankov. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems. The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.

50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher

2024-07-26 Science

Author : Amnon Aharony
Release : 2024-07-26
Genre : Science
Kind : eBook
Book Rating : 390/5 ( reviews)

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Book Synopsis 50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher by : Amnon Aharony

Download or read book 50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher written by Amnon Aharony. This book was released on 2024-07-26. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in the book are devoted to the memory of Michael E Fisher, and hence include many personal memories from people whose work was influenced by him. Also, the book is a collection of articles from leaders in the field of phase transitions and critical phenomena, to celebrate 50 years of the renormalization group and the 1972 paper by Wilson and Fisher. Many of the articles review, in tutorial form, the progress in the fields of phase transitions and the renormalization group.

Computational Methods in Surface and Colloid Science

2019-04-23 Science

Author : Malgorzata Borowko
Release : 2019-04-23
Genre : Science
Kind : eBook
Book Rating : 838/5 ( reviews)

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Book Synopsis Computational Methods in Surface and Colloid Science by : Malgorzata Borowko

Download or read book Computational Methods in Surface and Colloid Science written by Malgorzata Borowko. This book was released on 2019-04-23. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents computer simulation methods and mathematical modelling of physical processes used in surface science research. It offers in-depth analysis of advanced theoretical approaches to behaviours of fluids in contact with porous, semiporous and nonporous solid surfaces. The book also explores interfacial systems for a wide variety of p

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Finite Size Scaling And Numerical Simulation Of Statistical Systems

Monte Carlo Simulation in Statistical Physics

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50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher

Computational Methods in Surface and Colloid Science

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