Spin Glasses and Complexity (eBook)
336 Seiten
Princeton University Press (Verlag)
978-1-4008-4563-7 (ISBN)
Daniel L. Stein is professor of physics and mathematics at New York University's Courant Institute of Mathematical Sciences. His books include Spin Glasses and Biology. Charles M. Newman is professor of mathematics at NYU's Courant Institute of Mathematical Sciences and at the University of California, Irvine. His books include Topics in Disordered Systems.
Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.
Daniel L. Stein is professor of physics and mathematics at New York University's Courant Institute of Mathematical Sciences. His books include Spin Glasses and Biology. Charles M. Newman is professor of mathematics at NYU's Courant Institute of Mathematical Sciences and at the University of California, Irvine. His books include Topics in Disordered Systems.
Erscheint lt. Verlag | 15.1.2013 |
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Reihe/Serie | Primers in Complex Systems |
Zusatzinfo | 5 halftones. 48 line illus. |
Verlagsort | Princeton |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik | |
Technik | |
Schlagworte | algorithm • Anderson localization • Angular momentum • antiferromagnetism • Artificial Neural Network • attractor • Boltzmann distribution • Boundary value problem • Broken Symmetry • Cellular Automaton • chaos theory • combinatorial optimization • complex adaptive system • Complexity • complexity studies • Complex Systems • Computation • Computational Complexity • computational complexity theory • Computer Science • Computer Scientist • Condensed Matter • Condensed matter physics • Cooling • coordinate system • Critical dimension • Cryogenics • crystal structure • Degrees of freedom (mechanics) • Dimension • dimensionality • dynamical behavior • Dynamical system • EdwardsЁnderson Hamiltonian • EdwardsЁnderson model • Emergence • Energy • energy landscape • energy level • Excitation (magnetic) • ferromagnetism • Field magnet • free energy • Freezing • Glass transition • Globular protein • Gravity • ground state • hamiltonian • heat capacity • Herb Simon • idealization • immune response maturation • Instant • Invariance • Irreversible process • Ising Model • Kondo effect • Lattice Constant • liquid crystal • Magnet • Magnetic Alloys • Magnetic field • magnetic materials • Magnetic moment • magnetic susceptibility • magnetic systems • magnetism • magnetization • Mathematical Optimization • mathematician • Mathematicians • Mathematics • Mean field theory • Memory effect • metastability • Metropolis–Hastings algorithm • Molecule • Neural networks • NK model • Nonequilibrium • non-equilibrium thermodynamics • Normal distribution • Notation • optimization problem • Order • order parameter • ordinary glasses • Paramagnetism • Periodic boundary conditions • Phase (matter) • phase transition • phase transitions • Phil Anderson • Physical law • physicist • Physics • prebiotic evolution • Probability • Probability Distribution • Protein • Protein conformational dynamics • protein conformational folding • Protein Folding • Quantity • quantum mechanics • quantum state • Quenched disorder • randomness • Random Variable • replica symmetry breaking • Rotational Symmetry • SherringtonЋirkpatrick model • social network modeling • Solid state magnetism • Solution • Spin • spin glass • Spin Glasses • spin glass science • Spin (physics) • spinгpin interaction • Statistical Mechanics • Subset • Suggestion • Superfluidity • symmetry • symmetry breaking • Temperature • theory • Thermodynamic Equilibrium • Thermodynamic Limit • thermodynamics • Thermodynamic state • time complexity • Turing Machine • Underpinning • Universality class • Variable (mathematics) • Warren Weaver |
ISBN-10 | 1-4008-4563-7 / 1400845637 |
ISBN-13 | 978-1-4008-4563-7 / 9781400845637 |
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