Collapse of metastability : dynamics of first-order phase transition / / Seiji Miyashita
| Collapse of metastability : dynamics of first-order phase transition / / Seiji Miyashita |
| Autore | Miyashita Seiji |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (260 pages) |
| Disciplina | 016.61483 |
| Collana | Fundamental Theories of Physics |
| Soggetto topico |
Quantum theory
Many-body problem |
| ISBN |
9789811966682
9789811966675 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Concept of Metastability -- 1.1.1 Life Time of a Metastable State -- Part I Metastability in Classical Systems -- 2 Metastability in Thermodynamic Systems -- 2.1 Introduction -- 2.2 Mean-Field Theory for a Ferromagnetic Ising System -- 2.2.1 Self-consistent Equation of the Magnetization -- 2.2.2 Magnetization Curve -- 2.2.3 Free Energy as a Function of Magnetization -- 2.3 Rotation of Magnetization -- 2.3.1 Stoner-Wohlfarth Model -- 2.3.2 Stoner-Wohlfarth Diagram -- 2.3.3 Trajectrory -- 2.4 First-Order Phase Transitions as a Function of the Temperature -- 2.4.1 A Model with Many Degeneracy of Zero Energy States -- 2.4.2 Blume-Capel Model -- 2.4.3 Spin Crossover Systems -- 2.5 Landau Theory -- 2.5.1 Landau Theory for Temperature Induced First-Order Phase Transition -- 2.6 Gas-Liquid Phase Transition -- 2.6.1 Phenomenological Method: van der Waals (vDW) Equation -- 2.7 Statistical Treatments of the Gas-Liquid Phase Transition -- 2.7.1 Perturbational Approach -- 2.7.2 Lattice-Gas Model Approach -- 2.7.3 Mean-Field Analysis for the Lattice Gas Model -- 3 Escape Rate from the Metastable State -- 3.1 Introduction -- 3.2 Arrhenius Law -- 3.3 Kramers Method -- 3.4 Spinodal Singularity -- 3.4.1 Master Equation for the Husimi-Temperley Model -- 3.5 Nucleation in Model Short-Range Interaction -- 3.6 Dynamical Spinodal Point -- 3.7 Survival Probability of a Metastable State -- 3.7.1 Néel-Arrhenius Process -- 4 Spatial Pattern During the Transition -- 4.1 Dynamics Associated with the First-Order Phase Transition -- 4.2 Dynamics After the Temperature Quenching -- 4.2.1 Non-conserved System: k squared tk2t Scaling -- 4.2.2 A Stretched Exponential Law for Spin-Autocorrelation Function -- 4.2.3 Conserved System: Lifshitz-Slyozov-Wigner Theory k cubed tk3t Scaling -- 4.2.4 Ostwald Ripening.
Part II First-Order Phase Transition from Viewpoints of the Eigenvalue Problem -- 5 Structure of Eigenvalues for the First-Order Phase Transition -- 5.1 Transfer Matrix -- 5.1.1 Ladder Systems -- 5.1.2 Free Energy -- 5.1.3 Correlation Functions -- 5.1.4 Temperature Dependence of the Eigenvalues -- 5.1.5 Field Dependence of the Eigenvalues Below the Critical Temperature -- 5.2 Eigenvalue Analysis of Dynamical Processes -- 5.2.1 Eigenstates of Master Equation -- 5.2.2 Approach to the Stationary State -- 5.3 Kinetic Ising Model -- 5.3.1 Demonstration in a Small System of 2 times 22times2 System -- 5.3.2 Master Equation for the Magnetization for a Model with Long-Range Interaction -- 5.3.3 Relaxation times of 4 times 34times3 System -- 5.4 Eigenvalue Problem of Quantum Master Equation -- 5.5 Free Energy at the First-Order Phase Transition -- 5.6 Langer's Argument -- 5.6.1 Langer's Analysis I: A Picture of Nucleation Cluster -- 5.6.2 Langer's Analysis II: Functional Integral -- 5.6.3 Langer's Analysis III: A Picture of the Action -- 5.6.4 Langer's Estimation of Decay Rate of Metastable State -- Part III Metastability in Quantum Systems -- 6 Collapse of Metastability by the Quantum Fluctuation -- 6.1 Introduction -- 6.2 Quantum Mechanical States in Double-Well Type Potential -- 6.2.1 Chracteristics of Metastability in the Eigenstate Spectrum StartSet upper E Subscript i Baseline left parenthesis h right parenthesis EndSet{Ei(h)} as a Function of Field -- 6.3 Characterstic of Eigenvalue Structure Around the First-Order Phase Transition -- 6.4 Particle Conveyance by a Potential-Well -- 6.4.1 Sudden Start by Changing the Velocity from Zero to cc -- 6.4.2 Smooth Acceleration -- 6.4.3 Scattering Problem -- 6.4.4 Relaxation from Metastable Potential -- 6.4.5 Carry Up the Particle -- 6.5 Quantum Tunneling in Magnetic Systems. 6.5.1 Metastability in Magnetic Systems -- 6.6 Relaxation of Magnetism in Small Systems -- 6.7 Single Molecular Magnets (SMM) -- 6.7.1 Tunneling Under Dissipation -- 6.7.2 Dynamics in Dissipative Environments -- 6.8 Magnetic Foehn Effect -- 6.9 Effect of Dissipation on the Relaxation of Metastable State -- 6.9.1 Free-Boson Bath Model -- 6.9.2 Dynamics of the Magnetization in Uniaxial Anisoropy -- 6.9.3 Effects of Dissipation on the Hybridized Lowest Two States -- 6.10 Quantum Stoner-Wohlfarth Model -- 6.10.1 Dynamics of Magnetization -- 6.10.2 Distribution of the Population over the States -- 6.10.3 Dynamics of Magnetization in Dissipative Environment -- 6.11 Nucleation in Quantum Systems -- 6.12 Transverse-Ising Model -- 6.12.1 Visualization of Quantum and Classical Fluctuation in a left parenthesis d plus 1 right parenthesis(d+1) Dimensional Representation of States -- 6.13 Cooperative Phenomena in a Cavity System -- 6.13.1 Cavity System -- 6.13.2 Phase Transitions of the Dicke Hamiltonian -- 6.14 Optical Bistability -- 6.14.1 Mean-Field Analysis -- 6.14.2 Analogy to a Picture of Thermodynamic Free Energy -- 6.14.3 Numerical Study of the Size Dependence -- 6.14.4 Metastability in the Bistable Region -- 6.14.5 Hysteresis Phenomena -- 6.15 Limit Cycle of the Hysteresis -- 6.15.1 Dynamics Under an Driving Force with Periodically Oscillating Amplitude -- 6.15.2 Floquet Map -- 6.15.3 Mean-Field Analysis of Limit Cycle -- Part IV Quantitative Estimation of Relaxation Time -- 7 Coercivity of Magnets -- 7.1 Introduction -- 7.2 Coercivity Estimated by the Free Energy Landscape -- 7.2.1 Minimum Energy Path (MEP) Method -- 7.2.2 Free Energy Landscape Method -- 7.3 Characteristic Quantities of Magnetization Reversal -- 7.3.1 Activation Volume -- 7.3.2 Magnetic Viscosity. 7.3.3 Relation Between the Activation Volume upper V Subscript normal aVa and the Magnetic Viscosity upper SS -- 7.3.4 Coercivity Obtained by a Direct Simulation of SLLG -- 7.3.5 Coercivity of Large Grains -- 7.4 Coercivity of Magnets as an Ensemble of Grains -- Part V Appendices -- 8 Appendices -- 8.1 Brief Review on the Mean-Field Approximation -- 8.1.1 Basic Idea of Mean-Field Theory -- 8.1.2 Mean-Field Free Energy as a Function of the Magnetization F(m:T,H) -- 8.1.3 Free Energy in Bragg-Williams Approximation -- 8.1.4 Free Energy of the Long-Range Interaction Model (Husimi-Temperley Model) -- 8.1.5 Free Energy as a Variational Function -- 8.2 Equation of Stochastic Processes -- 8.2.1 Master Equation and Fokker-Planck Equation -- 8.2.2 Master Equation in Differential Form -- 8.2.3 Symmetrization of the Time-Evolution Operator -- 8.2.4 Master Equation for Continuous Variable -- 8.2.5 Brownian Motion -- 8.3 Landau-Zener Scattering -- 8.4 Quantum Master Equation -- 8.4.1 Lindblad Type -- 8.4.2 Redfield Type -- 8.4.3 Redfield Type for a Single Spin -- 8.4.4 Bloch Equation -- 8.4.5 Under a Time-Dependent Field -- 8.5 Path-Integral Method -- 8.5.1 One Particle Problem -- 8.5.2 Partition Function at a Finite Temperature -- 8.5.3 Onsager-Machlup Formula for Stochastic Process -- 8.6 WKB Approximation -- 8.6.1 Semiclassical Approximation -- 8.6.2 Connection Formula -- 8.6.3 Bound State -- 8.6.4 Transmission Coefficient by WKB Approximation -- 8.6.5 Transition Matrix -- 8.6.6 Relaxation from Metastable Potential -- Appendix References -- -- Index. |
| Record Nr. | UNISA-996499864403316 |
Miyashita Seiji
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| Singapore : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Collapse of Metastability : Dynamics of First-Order Phase Transition / / by Seiji Miyashita
| Collapse of Metastability : Dynamics of First-Order Phase Transition / / by Seiji Miyashita |
| Autore | Miyashita Seiji |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (260 pages) |
| Disciplina | 016.61483 |
| Collana | Fundamental Theories of Physics |
| Soggetto topico |
Condensed matter
Statistical physics Condensed Matter Physics Statistical Physics Phase Transition and Critical Phenomena Phase Transitions and Multiphase Systems |
| ISBN |
9789811966682
9789811966675 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- What is the Metastability -- Metastability-Collapse by Thermal Fluctuation -- Metastability-Collapse with Quantum Fluctuation -- First-Order Phase Transition in Non-equilibrium Steady Systems -- Eigenvalue Picture of the First-Order Phase Transition -- Coercivity and Permanent Magnet -- Summary. |
| Record Nr. | UNINA-9910629293903321 |
Miyashita Seiji
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Decommissioning of particle accelerators / / International Atomic Energy Agency
| Decommissioning of particle accelerators / / International Atomic Energy Agency |
| Pubbl/distr/stampa | Vienna, Austria : , : International Atomic Energy Agency, , [2020] |
| Descrizione fisica | 1 online resource (174 pages) : illustrations |
| Disciplina | 016.61483 |
| Soggetto topico |
Nuclear facilities - Decommissioning
Particle accelerations Radiation - Safety measures |
| ISBN | 92-0-109820-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794488203321 |
| Vienna, Austria : , : International Atomic Energy Agency, , [2020] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Decommissioning of particle accelerators / / International Atomic Energy Agency
| Decommissioning of particle accelerators / / International Atomic Energy Agency |
| Pubbl/distr/stampa | Vienna, Austria : , : International Atomic Energy Agency, , [2020] |
| Descrizione fisica | 1 online resource (174 pages) : illustrations |
| Disciplina | 016.61483 |
| Soggetto topico |
Nuclear facilities - Decommissioning
Particle accelerations Radiation - Safety measures |
| ISBN | 92-0-109820-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910811695103321 |
| Vienna, Austria : , : International Atomic Energy Agency, , [2020] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Digital quantum information processing with continuous-variable systems / / Takaya Matsuura
| Digital quantum information processing with continuous-variable systems / / Takaya Matsuura |
| Autore | Matsuura Takaya |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (172 pages) |
| Disciplina | 016.61483 |
| Collana | Springer Theses, Recognizing Outstanding Ph.D. Research |
| Soggetto topico | Quantum theory |
| ISBN |
9789811982880
9789811982873 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Preliminaries -- Continuous-Variable Quantum System -- Quantum Key Distribution with Continuous-Variable Systems -- Quantum computation with Continuous-Variable Systems. |
| Record Nr. | UNINA-9910647769103321 |
Matsuura Takaya
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| Singapore : , : Springer, , [2023] | ||
| Lo trovi qui: Univ. Federico II | ||
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Elementary particles and their interactions / / Stephen P. Martin and James D. Wells
| Elementary particles and their interactions / / Stephen P. Martin and James D. Wells |
| Autore | Martin Steve (Stephen P.) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (362 pages) |
| Disciplina | 016.61483 |
| Collana | Graduate Texts in Physics |
| Soggetto topico |
Quantum theory
Particles (Nuclear physics) |
| ISBN | 3-031-14368-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996495161603316 |
Martin Steve (Stephen P.)
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Elementary Particles and Their Interactions / / by Stephen P. Martin, James D. Wells
| Elementary Particles and Their Interactions / / by Stephen P. Martin, James D. Wells |
| Autore | Martin Steve (Stephen P.) |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (362 pages) |
| Disciplina |
016.61483
539.72 |
| Collana | Graduate Texts in Physics |
| Soggetto topico |
Particles (Nuclear physics)
Quantum field theory Quantum theory Elementary Particles, Quantum Field Theory Quantum Physics |
| ISBN | 3-031-14368-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Special Relativity and Lorentz Transformations -- Relativistic Quantum Mechanics of Single Particles -- Field Theory and Lagrangians -- Quantum Electro-Dynamics (QED) -- Decay Processes -- Fermi Theory of Weak Interactions -- Gauge theories -- Quantum Chromo-Dynamics (QCD) -- Spontaneous Symmetry Breaking -- The Standard Electroweak Model. |
| Record Nr. | UNINA-9910624389203321 |
Martin Steve (Stephen P.)
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical quantum physics : a foundational introduction / / Gabriele Nunzio Tornetta
| Mathematical quantum physics : a foundational introduction / / Gabriele Nunzio Tornetta |
| Autore | Tornetta Gabriele Nunzio |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (187 pages) |
| Disciplina | 016.61483 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN |
9783031148125
9783031148118 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- References -- Contents -- 1 The Basic Postulates -- 1.1 The Measuring Process -- 1.2 The Mathematical Framework of Quantum Mechanics -- 1.2.1 Projections -- 1.2.2 State Transitions -- 1.2.3 Interference -- 1.3 The Relation with Wave Mechanics -- 1.4 Symmetries -- 1.4.1 Dynamics -- 1.4.2 Regular Representations -- 1.4.3 Superselection Rules à la Wick-Wightman-Wigner -- References -- 2 Relativistic Invariance -- 2.1 The Lorentz Group -- 2.2 The Poincaré Group -- 2.3 Massive Particles -- 2.4 The Generalised Dirac Equation -- 2.4.1 Massless Particles -- 2.4.2 The Dirac Equation -- 2.4.3 Minimal Coupling -- References -- 3 Quantum Mechanics -- 3.1 The Weyl Relations -- 3.1.1 Irreducibility of the Schrödinger Representation -- 3.2 The Heisenberg Group -- 3.2.1 Uniqueness of the Schrödinger Representation -- 3.3 Quantum Harmonic Oscillator -- 3.4 Non-commutative Functional Calculus -- References -- 4 Quantum Field Theory -- 4.1 Infinite Degrees of Freedom -- 4.2 The Segal Field -- 4.3 Second Quantisation -- 4.3.1 Fock Space Revisited -- 4.3.2 Infinite Tensor Products -- 4.3.3 Gauge Invariance -- 4.4 Canonical Anticommutation Relations -- 4.4.1 The Fermi Oscillator -- 4.4.2 Representations of the CAR Algebra -- 4.4.3 Gauge-invariant States -- 4.5 Quantum Fields -- 4.5.1 The Scalar Field -- 4.5.2 Covariance -- 4.5.3 The Spectral Condition -- 4.5.4 Irreducibility -- 4.5.5 Complexification -- 4.6 Field Algebras -- 4.6.1 Isotony -- 4.6.2 Locality -- 4.6.3 Canonical Commutation Relations -- 4.6.4 Additivity -- 4.6.5 Duality -- 4.6.6 Property B -- 4.7 Modular Structure -- 4.7.1 The KMS Condition -- 4.7.2 Araki Duality for Wedges -- 4.8 The Charged Scalar Free Field -- 4.8.1 Superselection Sectors -- 4.9 The Charged Free Spinor Field -- 4.9.1 The Generic j2 Spin Case -- 4.10 The Wightman Axioms -- 4.10.1 Wightman Fields.
4.10.2 Vacuum Expectation Values -- 4.10.3 The Reconstruction Theorem -- 4.10.4 The Borchers-Uhlmann Algebra -- 4.10.5 Further Properties of Wightman Fields -- 4.10.6 Constructive Quantum Field Theory -- References -- 5 Further Topics -- 5.1 Scattering Theory -- 5.2 The DHR Theory -- 5.2.1 Superselection Sectors -- 5.2.2 Statistics -- 5.3 The DFR Models for Quantum Space-time -- 5.3.1 The C*-algebra of the Basic Model -- 5.3.2 Field Algebras on the DFR Quantum Space-time -- 5.3.3 The Scale-covariant Model -- References -- Appendix A Elements of Group Theory -- A.1 Topological Groups -- A.2 Group Cohomology -- A.2.1 Lifting of Projective Representations -- A.3 Representation Theory -- A.3.1 Induced Representations -- A.3.2 The Little Group Method -- A.3.3 The GNS Construction -- Appendix B Infinite Tensor Products -- B.1 For C*-algebras -- B.2 For Hilbert Spaces -- B.3 For Von Neumann Algebras -- B.4 Equivalences -- References -- Index. |
| Record Nr. | UNISA-996495163103316 |
Tornetta Gabriele Nunzio
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematical Quantum Physics : A Foundational Introduction / / by Gabriele Nunzio Tornetta
| Mathematical Quantum Physics : A Foundational Introduction / / by Gabriele Nunzio Tornetta |
| Autore | Tornetta Gabriele Nunzio |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (187 pages) |
| Disciplina | 016.61483 |
| Soggetto topico |
Quantum theory
Mathematical physics Functional analysis Quantum Physics Mathematical Methods in Physics Functional Analysis |
| ISBN |
9783031148125
9783031148118 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Basic Postulates -- Relativistic Invariance -- Quantum Mechanics -- Quantum Field Theory -- Further Topics. |
| Record Nr. | UNINA-9910619266603321 |
Tornetta Gabriele Nunzio
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||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum science : the frontier of physics and chemistry / / edited by Taku Onishi
| Quantum science : the frontier of physics and chemistry / / edited by Taku Onishi |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (498 pages) |
| Disciplina | 016.61483 |
| Soggetto topico | Quantum theory |
| ISBN |
9789811944215
9789811944208 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996495161803316 |
| Singapore : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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