Finite Size Scaling And Numerical Simulation Of Statistical Systems

Author : Privman Vladimir
Publisher : World Scientific
ISBN 13 : 9813208767
Total Pages : 528 pages
Book Rating : 4.66/5 ( download)

DOWNLOAD NOW!

Download or read book Finite Size Scaling And Numerical Simulation Of Statistical Systems written by Privman Vladimir and published by World Scientific. This book was released on 1990-01-01 with total page 528 pages. 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.

Author : John L. Cardy
Publisher : North Holland
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.98/5 ( download)

DOWNLOAD NOW!

Download or read book Finite-size Scaling written by John L. Cardy and published by North Holland. This book was released on 1988 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few years, finite-size scaling has become an increasingly important tool in studies of critical systems. This is partly due to an increased understanding of finite-size effects by analytical means, and partly due to our ability to treat larger systems with large computers. The aim of this volume was to collect those papers which have been important for this progress and which illustrate novel applications of the method. The emphasis has been placed on relatively recent developments, including the use of the &egr;-expansion and of conformal methods.

Author : David P. Landau
Publisher : Springer Science & Business Media
ISBN 13 : 3540326405
Total Pages : 174 pages
Book Rating : 4.03/5 ( download)

DOWNLOAD NOW!

Download or read book Computer Simulation Studies in Condensed-Matter Physics XVIII written by David P. Landau and published by Springer Science & Business Media. This book was released on 2007-08-02 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This status report features the most recent developments in the field, spanning a wide range of topical areas in the computer simulation of condensed matter/materials physics. Both established and new topics are included, ranging from the statistical mechanics of classical magnetic spin models to electronic structure calculations, quantum simulations, and simulations of soft condensed matter.

Author : Kurt Binder
Publisher : Springer Science & Business Media
ISBN 13 : 3642031633
Total Pages : 202 pages
Book Rating : 4.32/5 ( download)

DOWNLOAD NOW!

Download or read book Monte Carlo Simulation in Statistical Physics written by Kurt Binder and published by Springer Science & Business Media. This book was released on 2010-08-17 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo Simulation in Statistical Physics deals with the computer simulation of many-body systems in condensed-matter physics and related fields of physics, chemistry and beyond, to traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, probability distributions are calculated, allowing the estimation of the thermodynamic properties of various systems. This book describes the theoretical background to several variants of these Monte Carlo methodsand gives a systematic presentation from which newcomers can learn to perform such simulations and to analyze their results. The fifth edition covers Classical as well as Quantum Monte Carlo methods. Furthermore a new chapter on the sampling of free energy landscapes has been added. To help students in their work a special web server has been installed to host programs and discussion groups (http://wwwcp.tphys.uni-heidelberg.de). Prof. Binder was the winner of the Berni J. Alder CECAM Award for Computational Physics 2001 as well as the Boltzmann Medal in 2007.

Author : Jordan G Brankov
Publisher : World Scientific
ISBN 13 : 9814494569
Total Pages : 459 pages
Book Rating : 4.64/5 ( download)

DOWNLOAD NOW!

Download or read book Theory Of Critical Phenomena In Finite-size Systems: Scaling And Quantum Effects written by Jordan G Brankov and published by World Scientific. This book was released on 2000-08-21 with total page 459 pages. 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.

Author : Malgorzata Borowko
Publisher : CRC Press
ISBN 13 : 0429524838
Total Pages : 625 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

Download or read book Computational Methods in Surface and Colloid Science written by Malgorzata Borowko and published by CRC Press. This book was released on 2019-04-23 with total page 625 pages. 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

Author : Jean Zinn-Justin
Publisher : Oxford University Press, USA
ISBN 13 : 0198787758
Total Pages : 544 pages
Book Rating : 4.54/5 ( download)

DOWNLOAD NOW!

Download or read book From Random Walks to Random Matrices written by Jean Zinn-Justin and published by Oxford University Press, USA. This book was released on 2019-06-27 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical physics is a cornerstone of modern physics and provides a foundation for all modern quantitative science. It aims to describe all natural phenomena using mathematical theories and models, and in consequence develops our understanding of the fundamental nature of the universe. This books offers an overview of major areas covering the recent developments in modern theoretical physics. Each chapter introduces a new key topic and develops the discussion in a self-contained manner. At the same time the selected topics have common themes running throughout the book, which connect the independent discussions. The main themes are renormalization group, fixed points, universality, and continuum limit, which open and conclude the work. The development of modern theoretical physics has required important concepts and novel mathematical tools, examples discussed in the book include path and field integrals, the notion of effective quantum or statistical field theories, gauge theories, and the mathematical structure at the basis of the interactions in fundamental particle physics, including quantization problems and anomalies, stochastic dynamical equations, and summation of perturbative series.

Author : Paul Meakin
Publisher : Cambridge University Press
ISBN 13 : 9780521452533
Total Pages : 700 pages
Book Rating : 4.38/5 ( download)

DOWNLOAD NOW!

Download or read book Fractals, Scaling and Growth Far from Equilibrium written by Paul Meakin and published by Cambridge University Press. This book was released on 1998 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.

Author : Robert John Nicholas Baldock
Publisher : Springer
ISBN 13 : 3319667696
Total Pages : 146 pages
Book Rating : 4.90/5 ( download)

DOWNLOAD NOW!

Download or read book Classical Statistical Mechanics with Nested Sampling written by Robert John Nicholas Baldock and published by Springer. This book was released on 2017-11-16 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops a nested sampling algorithm into a black box tool for directly calculating the partition function, and thus the complete phase diagram of a material, from the interatomic potential energy function. It represents a significant step forward in our ability to accurately describe the finite temperature properties of materials. In principle, the macroscopic phases of matter are related to the microscopic interactions of atoms by statistical mechanics and the partition function. In practice, direct calculation of the partition function has proved infeasible for realistic models of atomic interactions, even with modern atomistic simulation methods. The thesis also shows how the output of nested sampling calculations can be processed to calculate the complete PVT (pressure–volume–temperature) equation of state for a material, and applies the nested sampling algorithm to calculate the pressure–temperature phase diagrams of aluminium and a model binary alloy.

Author : Joseph Marie Thijssen
Publisher : Cambridge University Press
ISBN 13 : 9780521575881
Total Pages : 564 pages
Book Rating : 4.85/5 ( download)

DOWNLOAD NOW!

Download or read book Computational Physics written by Joseph Marie Thijssen and published by Cambridge University Press. This book was released on 1999-06-17 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes computational methods used in theoretical physics with emphasis on condensed matter applications.