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Phase Transitions: A Brief Account With Modern Applications

Phase Transitions: A Brief Account With Modern Applications
Author: Moshe Gitterman
Publisher: World Scientific Publishing Company
Total Pages: 145
Release: 2004-08-03
Genre: Science
ISBN: 9813106352

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This book presents a short, fairly simple course on the basic theory of phase transitions and its modern applications. In physics, these applications include such modern developments as Bose-Einstein condensation of atoms, high temperature superconductivity, and vortices in superconductors, while in other fields they include small world phenomena and scale-free systems (such as stock markets and the Internet). The advantage of treating all these topics together lies in showing their connection with one another and with the general theory of phase transitions.


Phase Transitions: Modern Applications (2nd Edition)

Phase Transitions: Modern Applications (2nd Edition)
Author: Moshe Gitterman
Publisher: World Scientific Publishing Company
Total Pages: 211
Release: 2013-09-25
Genre: Science
ISBN: 9814520624

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This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions: the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reactions and moving systems. The book covers the close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.


Phasetransitions

Phasetransitions
Author: M. Gitterman
Publisher: World Scientific
Total Pages: 150
Release: 2004
Genre: Science
ISBN: 9789812389039

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- A short but comprehensive description of the five pillars of the modern theory of phase transitions - A general survey of numerous modern applications of the theory of phase transitions, rather than treatment of a single topic in great detail, as in most textbooks - Suitable for incorporating in a graduate or advanced undergraduate course on statistical physics - Provides a good minimum basis for under-standing current research on the application of statistical mechanics to problems in different fields, such as science, economics and sociology


Phase Transitions

Phase Transitions
Author: Moshe Gitterman
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 198
Release: 2014
Genre: Science
ISBN: 9789814520607

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This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions i.e. the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reaction and moving systems. The book covers a close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.


The Physics of Phase Transitions

The Physics of Phase Transitions
Author: Pierre Papon
Publisher: Springer Science & Business Media
Total Pages: 410
Release: 2013-06-29
Genre: Science
ISBN: 3662049899

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The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.


Phase Transition Dynamics

Phase Transition Dynamics
Author: Tian Ma
Publisher: Springer Science & Business Media
Total Pages: 575
Release: 2013-11-09
Genre: Mathematics
ISBN: 1461489636

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This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.


Phase Transitions For Beginners

Phase Transitions For Beginners
Author: Stishov Sergei M
Publisher: World Scientific
Total Pages: 152
Release: 2018-10-02
Genre: Science
ISBN: 9813274190

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Written by an experimentalist famous for his discovery of stishovite, with vast experience in phase transition studies, this book is devoted to a description of the continuous and discontinuous phase transitions. It includes chapters outlining the Van der Waals model, hard sphere and soft sphere models of melting, scaling phenomena, renormgroup approach to phase transitions, and experimental examples to illustrate various phase transitions.Unlike conventional books covering the same topic, this is meant for undergraduate students and experimentalists to understand basic concepts in the physics of phase transitions.


Reconstructing Reality

Reconstructing Reality
Author: Margaret Morrison
Publisher:
Total Pages: 345
Release: 2015
Genre: Mathematics
ISBN: 0199380279

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Attempts to understand various aspects of the empirical world often rely on modelling processes that involve a reconstruction of systems under investigation. Typically the reconstruction uses mathematical frameworks like gauge theory and renormalization group methods, but more recently simulations also have become an indispensable tool for investigation. This book is a philosophical examination of techniques and assumptions related to modelling and simulation with the goal of showing how these abstract descriptions can contribute to our understanding of the physical world. Particular issues include the role of fictional models in science, how mathematical formalisms can yield physical information, and how we should approach the use of inconsistent models for specific types of systems. It also addresses the role of simulation, specifically the conditions under which simulation can be seen as a technique for measurement, replacing more traditional experimental approaches. Inherent worries about the legitimacy of simulation "knowledge" are also addressed, including an analysis of verification and validation and the role of simulation data in the search for the Higgs boson. In light of the significant role played by simulation in the Large Hadron Collider experiments, it is argued that the traditional distinction between simulation and experiment is no longer applicable in some contexts of modern science. Consequently, a re-evaluation of the way and extent to which simulation delivers empirical knowledge is required. "This is a, lively, stimulating, and important book by one of the main scholars contributing to current topics and debates in our field. It will be a major resource for philosophers of science, their students, scientists interested in examining scientific practice, and the general scientifically literate public."-Bas van Fraassen, Distinguished Professor of Philosophy, San Francisco State University


Network Models for Data Science

Network Models for Data Science
Author: Alan Julian Izenman
Publisher: Cambridge University Press
Total Pages: 501
Release: 2022-12-31
Genre: Mathematics
ISBN: 1108835767

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This is the first book to describe modern methods for analyzing complex networks arising from a wide range of disciplines.


Electronic Phase Transitions

Electronic Phase Transitions
Author: Yu.V. Kopaev
Publisher: Elsevier
Total Pages: 353
Release: 2012-12-02
Genre: Science
ISBN: 0444600396

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Electronic Phase Transitions deals with topics, which are presently at the forefront of scientific research in modern solid-state theory. Anderson localization, which has fundamental implications in many areas of solid-state physics as well as spin glasses, with its influence on quite different research activities such as neural networks, are two examples that are reviewed in this book. The ab initio statistical mechanics of structural phase transitions is another prime example, where the interplay and connection of two unrelated disciplines of solid-state theory - first principle electronic structure calculations and critical phenomena - has given rise to impressive new insights. Clearly, there is more and more need for accurate, stable numerical simulations of models of interacting electrons, presently discussed with great vigor in connection with high-Tc superconductors where the superconducting transition is close to a magnetic transition, i.e. an antiferromagnetic spin structure. These topics and others are discussed and reviewed by leading experts in the field.