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Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.
Ising model --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Lenz-Ising model --- Physics. --- Quantum physics. --- Phase transitions (Statistical physics). --- Magnetism. --- Magnetic materials. --- Statistical physics. --- Dynamical systems. --- Phase Transitions and Multiphase Systems. --- Statistical Physics, Dynamical Systems and Complexity. --- Magnetism, Magnetic Materials. --- Quantum Physics. --- Quantum theory. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Mathematical statistics --- Mathematical physics --- Electricity --- Magnetics --- Statistical methods --- Materials --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Ising model. --- Phase transformations (Statistical physics)
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Metastable Liquids provides a comprehensive treatment of the properties of liquids under conditions where the stable state is a vapor, a solid, or a liquid mixture of different composition. It examines the fundamental principles that govern the equilibrium properties, stability, relaxation mechanisms, and relaxation rates of metastable liquids. Building on the interplay of kinetics and thermodynamics that determines the thermophysical properties and structural relaxation of metastable liquids, it offers an in-depth treatment of thermodynamic stability theory, the statistical mechanics of metastability, nucleation, spinodal decomposition, supercooled liquids, and the glass transition. Both traditional topics--such as stability theory--and modern developments--including modern theories of nucleation and the properties of supercooled and glassy water--are treated in detail. An introductory chapter illustrates, with numerous examples, the importance and ubiquity of metastable liquids. Examples include the ascent of sap in plants, the strategies adopted by many living organisms to survive prolonged exposure to sub-freezing conditions, the behavior of proteins at low temperatures, metastability in mineral inclusions, ozone depletion, the preservation and storage of labile biochemicals, and the prevention of natural gas clathrate hydrate formation. All mathematical symbols are defined in the text and key equations are clearly explained. More complex mathematical explanations are available in the appendixes.
Liquids --- Supercooled liquids. --- Phase transformations (Statistical physics) --- Chemistry, Physical and theoretical. --- Thermal properties. --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Supercooled fluids --- Adam-Gibbs theory. --- Ginzburg criterion. --- Kauzmann paradox. --- Laplace equation. --- Maxwell construction. --- antifreeze proteins. --- beta relaxation. --- capillarity approximation. --- critical nucleus. --- crystallization. --- detailed balance. --- dividing surface. --- embryos. --- energetics of formation. --- fragile liquids. --- free energy barrier. --- hard sphere fluid. --- ice. --- interfacial tension. --- mean-field theory. --- non-ergodicity parameter. --- order parameter. --- polyamorphism. --- spinodal curve. --- structural arrest. --- supercooled vapors. --- temperature.
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