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Elements of Phase Transitions and Critical Phenomena

Hidetoshi Nishimori and Gerardo Ortiz

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into ... More


Probabilities in Physics

Claus Beisbart and Stephan Hartmann (eds)

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199577439
eISBN:
9780191730603
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577439.001.0001
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

Many theories and models from physics are probabilistic. This observation raises several philosophical questions: What are probabilities in physics? Do they reflect objective chances which exist ... More


CLASSICAL AND QUANTUM STATISTICAL PHYSICS

Jean Zinn-Justin

in Path Integrals in Quantum Mechanics

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198566748
eISBN:
9780191717994
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566748.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter provides a simple physical interpretation to the formal continuum limit that has led, from an integral over position variables corresponding to discrete times, to a path integral. It ... More


Statistical physics and probability theory

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces the basic concepts of statistical physics. The restrictive point of view adopted here keeps to classical (non-quantum) statistical physics and treats it as a branch of ... More


New Tools for Extreme-Value Analysis: Statistical Physics Goes beyond Its Borders

Franck Jovanovic and Christophe Schinckus

in Econophysics and Financial Economics: An Emerging Dialogue

Published in print:
2017
Published Online:
December 2016
ISBN:
9780190205034
eISBN:
9780190205065
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190205034.003.0003
Subject:
Economics and Finance, Financial Economics

Chapter 3 clarifies the theoretical and methodological foundations of econophysics. This crucial chapter details the contextual factors that contributed to the advent of econophysics. More precisely, ... More


Statistical Physics and Thermodynamics: An Introduction to Key Concepts

Jochen Rau

Published in print:
2017
Published Online:
November 2017
ISBN:
9780199595068
eISBN:
9780191844300
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199595068.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Statistical physics and thermodynamics describe the behaviour of systems on the macroscopic scale. Their methods are applicable to a wide range of phenomena: from heat engines to chemical reactions, ... More


Statistical physics: a crash course

Tom Lancaster and Stephen J. Blundell

in Quantum Field Theory for the Gifted Amateur

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199699322
eISBN:
9780191779435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199699322.003.0022
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A rapid crash course in basic statistical physics is given, showing how the partition function can be used to manufacture any desired thermodynamic quantity or correlation function.


Econophysics and Physical Economics

Peter Richmond, Jürgen Mimkes, and Stefan Hutzler

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199674701
eISBN:
9780191780066
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199674701.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

An understanding of the behaviour of financial assets and the evolution of economies has never been as important as it is today. This book looks at these complex systems from the perspective of the ... More


Quantum field theory: An effective theory

Jean Zinn-Justin

in From Random Walks to Random Matrices

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198787754
eISBN:
9780191829840
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198787754.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 8 discusses effective field theory. This concept is inspired by the theory of critical phenomena in statistical physics and based on renormalization group ideas. The basic idea behind ... More


Statistical Physics, Optimization, Inference, and Message-Passing Algorithms: Lecture Notes of the Les Houches School of Physics: Special Issue, October 2013

Florent Krzakala, Federico Ricci-Tersenghi, Lenka Zdeborova, Riccardo Zecchina, Eric W. Tramel, and Leticia F. Cugliandolo (eds)

Published in print:
2015
Published Online:
March 2016
ISBN:
9780198743736
eISBN:
9780191803802
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198743736.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book contains a collection of the presentations that were given in October 2013 at the Les Houches Autumn School on statistical physics, optimization, inference, and message-passing algorithms. ... More


When Formulas Freeze: Phase Transitions in Computation

Cristopher Moore and Stephan Mertens

in The Nature of Computation

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199233212
eISBN:
9780191775079
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233212.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Certain formulas, such as the 3-SAT formula, undergo a phase transition from almost certain satisfiability to almost certain unsatisfiability when the number of constraints per variable reaches a ... More


Counting, Sampling, and Statistical Physics

Cristopher Moore and Stephan Mertens

in The Nature of Computation

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199233212
eISBN:
9780191775079
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233212.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The objects that are solutions to an NP-complete problem are difficult to count. Counting can be a subtle and complex problem even when the corresponding existence and optimisation problems are in P. ... More


Slow relaxations and nonequilibrium dynamics in classical and quantum systems

Giulio Biroli

in Strongly Interacting Quantum Systems out of Equilibrium: Lecture Notes of the Les Houches Summer School: Volume 99, August 2012

Published in print:
2016
Published Online:
August 2016
ISBN:
9780198768166
eISBN:
9780191821905
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198768166.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter provides an introduction to several important and interesting facets of out-of-equilibrium dynamics. If in the past hard condensed matter and classical statistical physics remained ... More


The Lattice Boltzmann Equation: For Complex States of Flowing Matter

Sauro Succi

Published in print:
2018
Published Online:
June 2018
ISBN:
9780199592357
eISBN:
9780191847967
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199592357.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

Over the past near three decades, the Lattice Boltzmann method has gained a prominent role as an efficient computational method for the numerical simulation of a wide variety of complex states of ... More


Spin liquids and frustrated magnetism

John T. Chalker

in Topological Aspects of Condensed Matter Physics: Lecture Notes of the Les Houches Summer School: Volume 103, August 2014

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198785781
eISBN:
9780191827600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198785781.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

Two important markers in the history of research on spin liquids and frustrated magnetism are Anderson’s suggestion, over 40 years ago, of the resonating valence bond state as an alternative to Néel ... More


Econophysics and Financial Economics: An Emerging Dialogue

Franck Jovanovic and Christophe Schinckus

Published in print:
2017
Published Online:
December 2016
ISBN:
9780190205034
eISBN:
9780190205065
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190205034.001.0001
Subject:
Economics and Finance, Financial Economics

How can we create a profitable dialogue between financial economists and econophysicists? This book moves beyond the disciplinary frontiers in order to initiate the development of a common ... More


Introduction

Razvan Gurau

in Random Tensors

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198787938
eISBN:
9780191829918
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198787938.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents an overview of the recent advances in random tensor models and their connections with quantum gravity, conformal field theory and statistical physics. Inspired by matrix models ... More


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