Sign-In
Cart
Equilibrium Statistical Mechanics of Lattice Models
Paperback
Series: Theoretical and Mathematical Physics
PhysicsProbability & Statistics
ISBN13: 9789402405040
Publisher: Springer Nature
Published: Oct 9 2016
Pages: 793
Weight: 2.46
Height: 1.61 Width: 6.14 Depth: 9.21
Language: English
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models.
Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations.
In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models.
In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef--Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideasof scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization.
Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.
1 different editions
Also available
Also in
Physics
The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures
Gutfreund, Hanoch
Renn, Jürgen
Hardcover
Physics of the Future: How Science Will Shape Human Destiny and Our Daily Lives by the Year 2100
Kaku, Michio
Hardcover
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Dant, Adam
Clegg, Brian
Hardcover
Feynman's Lost Lecture: The Motion of Planets Around the Sun [With CDROM]
Goodstein, David L.
Paperback
The Edge of Space-Time: Particles, Poetry, and the Cosmic Dream Boogie
Prescod-Weinstein, Chanda
Hardcover
Lost in Space: 5,000 Facts for Navigating the Universe
Tyson, Neil Degrasse
Walker, Lindsey Nyx
Hardcover
5 Steps to a 5: AP Physics 1 2027: Practice AP Tests + AP Content Review + Digital Exams
Jacobs, Greg
Paperback
Just Visiting This Planet, Revised and Updated for the Twenty-First Century: Further Scientific Adventures of Merlin from Omniscia
Tyson, Neil Degrasse
Hardcover
What If? 10th Anniversary Edition: Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
Astronomy 101, 2nd Edition: From Gravitational Waves and Merging Black Holes to New Exoplanets and Asteroid Samples, Key Theories, Discoveries, and Fa
Petersen, Carolyn Collins
Hardcover
Beyond Darwin: How Epigenetics, Quantum Science, and Cooperation Shape Humanity's Future
Lipton, Bruce H.
Hardcover
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics and Metaphysics
Campbell, Thomas
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
Time's Second Arrow: Evolution, Order, and a New Law of Nature
Hazen, Robert M.
Wong, Michael L.
Hardcover
What If? 2: Additional Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
A New Science of Heaven: How the New Science of Plasma Physics Is Shedding Light on Spiritual Experience
Temple, Robert
Paperback
Princeton Review AP Physics 1 Premium Prep, 13th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
Take Me to Your Leader: Perspectives on Your First Alien Encounter (Large Print Edition)
Tyson, Neil DeGrasse
Hardcover
AP Physics 1 Premium, 2027: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice
Rideout, Kenneth, M. S.
Wolf, Jonathan, M. a. Ed M.
Paperback
The Disordered Cosmos: A Journey Into Dark Matter, Spacetime, and Dreams Deferred
Prescod-Weinstein, Chanda
Paperback
Strange Angel: The Otherworldly Life of Rocket Scientist John Whiteside Parsons
Pendle, George
Paperback
Do Aliens Speak Physics?: And Other Questions about Science and the Nature of Reality
Whiteson, Daniel
Warner, Andy
Hardcover
American Prometheus (Pulitzer Prize Winner): The Inspiration for the Major Motion Picture Oppenheimer
Bird, Kai
Sherwin, Martin J.
Paperback
Graph Paper Notebook 1/4 inch squares: Graph Paper Composition Book For Children and Women 8 x 10 inch, 122 Pages
Warren, Leann S.
Paperback
AP Physics 1 Premium, 2026: Prep Book with 4 Practice Tests + Comprehensive Review + Online Practice
Rideout, Kenneth, M. S.
Wolf, Jonathan, M. a. Ed M.
Paperback
The Montauk Project - Experiments in Time: Silver Anniversary Edition
Nichols, Preston B.
Moon, Peter
Paperback
Zinn and the Art of Mountain Bike Maintenance, 7th Edition: The World's Best-Selling Guide to Mountain Bike Repair
Zinn, Lennard
Paperback
The Black Book of Manifestation: Hidden Secrets & Forbidden Techniques to Shape Your Reality
Sharma, Sagar
Paperback
Introduction to Live Sound Reinforcement: The Science, the Art, and the Practice
Boyce, Teddy
Paperback
Quantum Physics and Higher Consciousness: Unlocking the Mysteries of Reality and Awakening Your Inner Power
Silva, Mari
Hardcover
The Tao of Physics: An Exploration of the Parallels Between Modern Physics and Eastern Mysticism
Capra, Fritjof
Paperback
Why Nobody Understands Quantum Physics: The Story of the Science That Shapes Our World
Verstraete, Frank
Broeckaert, Céline
Hardcover
From Shiva to Schrödinger: Unravelling Cosmic Secrets with Trika Shaivism & Quantum Insights
Majumdar, Mrittunjoy Guha
Paperback
Ways of Being: Animals, Plants, Machines: The Search for a Planetary Intelligence
Bridle, James
Paperback
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
Zinn & the Art of Road Bike Maintenance, 6th Edition: The World's Best-Selling Bicycle Repair and Maintenance Guide
Zinn, Lennard
Paperback
Smithsonian Atlas of Space: A Map to the Universe from the Big Bang to the Future
Launius, Roger D.
Hardcover
The Montauk Project - Experiments in Time: Silver Anniversary Edition
Nichols, Preston B.
Moon, Peter
Hardcover
The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory
Greene, Brian
Paperback
My Big TOE Awakening Discovery Inner Workings: The Complete My Big TOE Trilogy Unifying Philosophy, Physics, and Metaphysics
Campbell, Thomas
Paperback
Six Not-So-Easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
Do Your Ears Pop in Space? and 500 Other Surprising Questions about Space Travel
Mullane, R. Mike
Paperback
A Brief Welcome to the Universe: A Pocket-Sized Tour
Tyson, Neil Degrasse
Gott, J. Richard
Strauss, Michael A.
Paperback
Rocket Dreams: Musk, Bezos, and the Inside Story of the New, Trillion-Dollar Space Race
Davenport, Christian
Hardcover
The Theoretical Minimum: What You Need to Know to Start Doing Physics
Hrabovsky, George
Susskind, Leonard
Paperback
Cosmos and Transcendence: Breaking Through the Barrier of Scientistic Belief
Smith, Wolfgang
Paperback
Welcome to the Universe: An Astrophysical Tour
Gott, J. Richard
Tyson, Neil Degrasse
Strauss, Michael A.
Hardcover
The Fabric of Reality: The Science of Parallel Universes--And Its Implications
Deutsch, David
Paperback
Fundamentals of Astrodynamics: Second Edition
Mueller, Donald D.
White, Jerry E.
Bate, Roger R.
Paperback
The Autobiography of Nikola Tesla and Other Works (Deluxe Leatherbound Edition)
Tesla, Nikola
Martin, Thomas Commerford
Hardcover
Time Travel in Einstein's Universe: The Physical Possibilities of Travel Through Time
Gott, J. Richard
Paperback
There Are Places in the World Where Rules Are Less Important Than Kindness: And Other Thoughts on Physics, Philosophy and the World
Rovelli, Carlo
Paperback
Signals from the Subatomic World: How to Build a Proton Precession Magnetometer
Hollos, Richard
Hollos, Stefan
Paperback
Alchemy of Nine Dimensions: Activating the Full Spectrum of Consciousness
Clow, Barbara Hand
Paperback
Let's Review Regents: Physical Science- Physics, Sixth Edition (Barron's NY Regents)
Lazar, Miriam A., M. S.
Tarendash, Albert, M. S.
Paperback
Regents Exams and Answers Physical Science Physics Sixth Edition (Barron's New York Regents)
Lazar, Miriam, M. S. Ed
Paperback
Unseen Universe: Space as You've Never Seen It Before from the James Webb Space Telescope
Harper, Caroline
Hardcover
Cosmic Queries: Startalk's Guide to Who We Are, How We Got Here, and Where We're Going
Tyson, Neil DeGrasse
Hardcover
AP Physics C Premium, Eighth Edition: 4 Practice Tests + Comprehensive Review + Online Practice (2026)
Pelcovits, Robert A., PH. D.
Farkas, Joshua, M. D.
Paperback
The One Thing You Need to Know: The Simple Way to Understand the Most Important Ideas in Science
Chown, Marcus
Paperback
The Sound Atlas: A Guide to Strange Sounds Across Landscapes and Imagination
Yuen, Isaac
Vieser, Michaela
Hardcover
Fantastic Numbers and Where to Find Them: A Journey to the Edge of Physics
Padilla, Antonio
Paperback
Princeton Review AP Physics C Premium Prep, 19th Edition: 4 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
Collisions: A Physicist's Journey from Hiroshima to the Death of the Dinosaurs
Nevala-Lee, Alec
Hardcover
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Tweed, Matt
Watkins, Matthew
Betts, Moff
Hardcover
Analytic Idealism in a Nutshell: A Straightforward Summary of the 21st Century's Only Plausible Metaphysics
Kastrup, Bernardo
Paperback
The Universe Story: From the Primordial Flaring Forth to the Ecozoic Era--A Celebration of the Unfol
Swimme, Brian
Paperback
Scale: The Universal Laws of Life, Growth, and Death in Organisms, Cities, and Companies
West, Geoffrey
Paperback
Relativity: The Special and the General Theory - 100th Anniversary Edition
Einstein, Albert
Paperback
Sounds Wild and Broken: Sonic Marvels, Evolution's Creativity, and the Crisis of Sensory Extinction
Haskell, David George
Paperback