Phase transitions and renormalization group / / Jean Zinn-Justin |
Autore | Zinn-Justin Jean |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Oxford, : Oxford University Press, 2007 |
Descrizione fisica | xii, 452 p |
Disciplina | 530.414 |
Collana | Oxford graduate texts |
Soggetto topico |
Phase transformations (Statistical physics)
Renormalization (Physics) |
ISBN |
0191527742
9780191527746 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Contents -- 1 Quantum field theory and the renormalization group -- 1.1 Quantum electrodynamics: A quantum field theory -- 1.2 Quantum electrodynamics: The problem of infinities -- 1.3 Renormalization -- 1.4 Quantum field theory and the renormalization group -- 1.5 A triumph of QFT: The Standard Model -- 1.6 Critical phenomena: Other infinities -- 1.7 Kadanoff and Wilson's renormalization group -- 1.8 Effective quantum field theories -- 2 Gaussian expectation values. Steepest descent method -- 2.1 Generating functions -- 2.2 Gaussian expectation values. Wick's theorem -- 2.3 Perturbed Gaussian measure. Connected contributions -- 2.4 Feynman diagrams. Connected contributions -- 2.5 Expectation values. Generating function. Cumulants -- 2.6 Steepest descent method -- 2.7 Steepest descent method: Several variables, generating functions -- Exercises -- 3 Universality and the continuum limit -- 3.1 Central limit theorem of probabilities -- 3.2 Universality and fixed points of transformations -- 3.3 Random walk and Brownian motion -- 3.4 Random walk: Additional remarks -- 3.5 Brownian motion and path integrals -- Exercises -- 4 Classical statistical physics: One dimension -- 4.1 Nearest-neighbour interactions. Transfer matrix -- 4.2 Correlation functions -- 4.3 Thermodynamic limit -- 4.4 Connected functions and cluster properties -- 4.5 Statistical models: Simple examples -- 4.6 The Gaussian model -- 4.7 Gaussian model: The continuum limit -- 4.8 More general models: The continuum limit -- Exercises -- 5 Continuum limit and path integrals -- 5.1 Gaussian path integrals -- 5.2 Gaussian correlations. Wick's theorem -- 5.3 Perturbed Gaussian measure -- 5.4 Perturbative calculations: Examples -- Exercises -- 6 Ferromagnetic systems. Correlation functions -- 6.1 Ferromagnetic systems: Definition -- 6.2 Correlation functions. Fourier representation.
6.3 Legendre transformation and vertex functions -- 6.4 Legendre transformation and steepest descent method -- 6.5 Two- and four-point vertex functions -- Exercises -- 7 Phase transitions: Generalities and examples -- 7.1 Infinite temperature or independent spins -- 7.2 Phase transitions in infinite dimension -- 7.3 Universality in infinite space dimension -- 7.4 Transformations, fixed points and universality -- 7.5 Finite-range interactions in finite dimension -- 7.6 Ising model: Transfer matrix -- 7.7 Continuous symmetries and transfer matrix -- 7.8 Continuous symmetries and Goldstone modes -- Exercises -- 8 Quasi-Gaussian approximation: Universality, critical dimension -- 8.1 Short-range two-spin interactions -- 8.2 The Gaussian model: Two-point function -- 8.3 Gaussian model and random walk -- 8.4 Gaussian model and field integral -- 8.5 Quasi-Gaussian approximation -- 8.6 The two-point function: Universality -- 8.7 Quasi-Gaussian approximation and Landau's theory -- 8.8 Continuous symmetries and Goldstone modes -- 8.9 Corrections to the quasi-Gaussian approximation -- 8.10 Mean-field approximation and corrections -- 8.11 Tricritical points -- Exercises -- 9 Renormalization group: General formulation -- 9.1 Statistical field theory. Landau's Hamiltonian -- 9.2 Connected correlation functions. Vertex functions -- 9.3 Renormalization group: General idea -- 9.4 Hamiltonian flow: Fixed points, stability -- 9.5 The Gaussian fixed point -- 9.6 Eigen-perturbations: General analysis -- 9.7 A non-Gaussian fixed point: The & -- #949 -- -expansion -- 9.8 Eigenvalues and dimensions of local polynomials -- 10 Perturbative renormalization group: Explicit calculations -- 10.1 Critical Hamiltonian and perturbative expansion -- 10.2 Feynman diagrams at one-loop order -- 10.3 Fixed point and critical behaviour -- 10.4 Critical domain. 10.5 Models with O(N) orthogonal symmetry -- 10.6 Renormalization group near dimension 4 -- 10.7 Universal quantities: Numerical results -- 11 Renormalization group: N-component fields -- 11.1 Renormalization group: General remarks -- 11.2 Gradient flow -- 11.3 Model with cubic anisotropy -- 11.4 Explicit general expressions: RG analysis -- 11.5 Exercise: General model with two parameters -- Exercises -- 12 Statistical field theory: Perturbative expansion -- 12.1 Generating functionals -- 12.2 Gaussian field theory. Wick's theorem -- 12.3 Perturbative expansion -- 12.4 Loop expansion -- 12.5 Dimensional continuation and regularization -- Exercises -- 13 The & -- #963 -- [sup(4)] field theory near dimension 4 -- 13.1 Effective Hamiltonian. Renormalization -- 13.2 Renormalization group equations -- 13.3 Solution of RGE: The & -- #949 -- -expansion -- 13.4 Effective and renormalized interactions -- 13.5 The critical domain above T[sub(c)] -- 14 The O(N) symmetric (& -- #934 -- [sup(2)])[sup(2)] field theory in the large N limit -- 14.1 Algebraic preliminaries -- 14.2 Integration over the field & -- #934 -- : The determinant -- 14.3 The limit N & -- #8594 & -- #8734 -- : The critical domain -- 14.4 The (& -- #934 -- [sup(2)][sup(2)] field theory for N & -- #8594 & -- #8734 -- 14.5 Singular part of the free energy and equation of state -- 14.6 The (& -- #955 -- & -- #955 -- ) and (& -- #934 -- [sup(2)] & -- #934 -- [sup(2)]) two-point functions -- 14.7 Renormalization group and corrections to scaling -- 14.8 The 1/N expansion -- 14.9 The exponent η at order 1/N -- 14.10 The non-linear & -- #963 -- -model -- 15 The non-linear & -- #963 -- -model -- 15.1 The non-linear & -- #963 -- -model on the lattice -- 15.2 Low-temperature expansion -- 15.3 Formal continuum limit -- 15.4 Regularization. 15.5 Zero-momentum or IR divergences -- 15.6 Renormalization group -- 15.7 Solution of the RGE. Fixed points -- 15.8 Correlation functions: Scaling form -- 15.9 The critical domain: Critical exponents -- 15.10 Dimension 2 -- 15.11 The (& -- #934 -- [sup(2)])[sup(2)]field theory at low temperature -- 16 Functional renormalization group -- 16.1 Partial field integration and effective Hamiltonian -- 16.2 High-momentum mode integration and RGE -- 16.3 Perturbative solution: & -- #934 -- [sup(4)] theory -- 16.4 RGE: Standard form -- 16.5 Dimension 4 -- 16.6 Fixed point: & -- #949 -- -expansion -- 16.7 Local stability of the fixed point -- Appendix -- A1 Technical results -- A2 Fourier transformation: Decay and regularity -- A3 Phase transitions: General remarks -- A4 1/N expansion: Calculations -- A5 Functional renormalization group: Complements -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W. |
Record Nr. | UNINA-9910814182203321 |
Zinn-Justin Jean
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Oxford, : Oxford University Press, 2007 | ||
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Lo trovi qui: Univ. Federico II | ||
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Phase transitions in foods / / Yrjö H. Roos, Stephan Drusch |
Autore | Roos Yrjö H. |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Academic Press, , 2016 |
Descrizione fisica | 1 online resource (0 p.) |
Disciplina | 664 |
Soggetto topico |
Food - Composition
Phase transformations (Statistical physics) |
ISBN |
0-12-407922-9
0-12-408086-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910797506503321 |
Roos Yrjö H.
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Amsterdam, [Netherlands] : , : Academic Press, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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Phase transitions in foods / / Yrjö H. Roos, Stephan Drusch |
Autore | Roos Yrjö H. |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Academic Press, , 2016 |
Descrizione fisica | 1 online resource (0 p.) |
Disciplina | 664 |
Soggetto topico |
Food - Composition
Phase transformations (Statistical physics) |
ISBN |
0-12-407922-9
0-12-408086-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910818562503321 |
Roos Yrjö H.
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Amsterdam, [Netherlands] : , : Academic Press, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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Phase transitions in solids under high pressure / / V.D. Blank and E.I. Estrin |
Autore | Blank V. D. |
Pubbl/distr/stampa | Boca Raton, FL : , : CRC Press, , [2014] |
Descrizione fisica | 1 online resource (451 p.) |
Disciplina | 530.4/14 |
Soggetto topico | Phase transformations (Statistical physics) |
ISBN |
0-429-07376-3
1-4665-9425-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Contents; Preface; Introduction: Phase equilibria and kinetics of phase transformations at high pressure; Chapter 1: Equipment and methods for the study of phase transformations in solidsat high pressures; Chapter 2: Phase transformations of carbon and boron nitride at high pressure and deformation under pressure; Chapter 3: Phase transitions in Si and Ge at high pressure and deformation under pressure; Chapter 4: Polymorphic α-w transformation in titanium, zirconium and zirconium-titanium alloys; Chapter 5: Phase transformations in iron and its alloys at high pressure
Chapter 6: Phase transformations in gallium and ceriumChapter 7: On the possible polymorphic transformations in transition metals under pressure; Chapter 8: Pressure-induced polymorphic transformations in AIBVII compounds; Chapter 9: Phase transformations in AIIBVIand AIIIBV semiconductor compounds; Chapter 10: Effect of pressure on the kinetics of phase transformations in iron alloys; Chapter 11: Transformations during deformation at high pressure; Chapter 12: Effects due to phase transformations at high pressure Chapter 13: Kinetics and hysteresis in high-temperature polymorphic transformations under pressureChapter 14: Hysteresis and kinetics of low-temperature polymorphic transformations under pressure; Chapter 15: Kinetics of phase transformations under pressure and synthesis of high-pressure phases; Conclusion; Back Cover |
Record Nr. | UNINA-9910790522803321 |
Blank V. D.
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Boca Raton, FL : , : CRC Press, , [2014] | ||
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Lo trovi qui: Univ. Federico II | ||
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Phase transitions in solids under high pressure / / V.D. Blank and E.I. Estrin |
Autore | Blank V. D. |
Pubbl/distr/stampa | Boca Raton, FL : , : CRC Press, , [2014] |
Descrizione fisica | 1 online resource (451 p.) |
Disciplina | 530.4/14 |
Soggetto topico | Phase transformations (Statistical physics) |
ISBN |
0-429-07376-3
1-4665-9425-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Contents; Preface; Introduction: Phase equilibria and kinetics of phase transformations at high pressure; Chapter 1: Equipment and methods for the study of phase transformations in solidsat high pressures; Chapter 2: Phase transformations of carbon and boron nitride at high pressure and deformation under pressure; Chapter 3: Phase transitions in Si and Ge at high pressure and deformation under pressure; Chapter 4: Polymorphic α-w transformation in titanium, zirconium and zirconium-titanium alloys; Chapter 5: Phase transformations in iron and its alloys at high pressure
Chapter 6: Phase transformations in gallium and ceriumChapter 7: On the possible polymorphic transformations in transition metals under pressure; Chapter 8: Pressure-induced polymorphic transformations in AIBVII compounds; Chapter 9: Phase transformations in AIIBVIand AIIIBV semiconductor compounds; Chapter 10: Effect of pressure on the kinetics of phase transformations in iron alloys; Chapter 11: Transformations during deformation at high pressure; Chapter 12: Effects due to phase transformations at high pressure Chapter 13: Kinetics and hysteresis in high-temperature polymorphic transformations under pressureChapter 14: Hysteresis and kinetics of low-temperature polymorphic transformations under pressure; Chapter 15: Kinetics of phase transformations under pressure and synthesis of high-pressure phases; Conclusion; Back Cover |
Record Nr. | UNINA-9910811552603321 |
Blank V. D.
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Boca Raton, FL : , : CRC Press, , [2014] | ||
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Lo trovi qui: Univ. Federico II | ||
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Phasenübergang 1. Art bei Gittergasmodellen; : klassische Systeme gleichartiger Teilchen mit paarweiser Wechselwirkung |
Autore | Georgii Hans-Otto |
Pubbl/distr/stampa | Springer Berlin Heidelberg |
Soggetto topico |
Phase transformations (Statistical physics)
Lattice gas |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Altri titoli varianti | Phasenübergang 1. Art bei Gittergasmodellen |
Record Nr. | UNISA-996466711903316 |
Georgii Hans-Otto
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Springer Berlin Heidelberg | ||
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Lo trovi qui: Univ. di Salerno | ||
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Phasenübergang 1. Art bei Gittergasmodellen; : klassische Systeme gleichartiger Teilchen mit paarweiser Wechselwirkung |
Autore | Georgii Hans-Otto |
Pubbl/distr/stampa | Springer Berlin Heidelberg |
Soggetto topico |
Phase transformations (Statistical physics)
Lattice gas |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Altri titoli varianti | Phasenübergang 1. Art bei Gittergasmodellen |
Record Nr. | UNINA-9910257454803321 |
Georgii Hans-Otto
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Springer Berlin Heidelberg | ||
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Lo trovi qui: Univ. Federico II | ||
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Photoassociation of Ultracold CsYb Molecules and Determination of Interspecies Scattering Lengths / / by Alexander Guttridge |
Autore | Guttridge Alexander |
Edizione | [1st ed. 2019.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
Descrizione fisica | 1 online resource (206 pages) |
Disciplina |
536.56028
539.7 |
Collana | Springer Theses, Recognizing Outstanding Ph.D. Research |
Soggetto topico |
Phase transformations (Statistical physics)
Condensed materials Quantum physics Spectroscopy Microscopy Quantum Gases and Condensates Quantum Physics Spectroscopy and Microscopy |
ISBN | 3-030-21201-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Routes to Ground State CsYb Molecules -- Experimental Setup -- Quantum Degenerate Gases of Yb -- A Quantum Degenerate Gas of Cs -- Thermalisation in an ultracold mixture of Cs and Yb -- One-Photon Photoassociation -- Two-Photon Photoassociation -- Conclusions and Outlook -- Bibliography. |
Record Nr. | UNINA-9910337869103321 |
Guttridge Alexander
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
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Lo trovi qui: Univ. Federico II | ||
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Photoinduced phase transitions [[electronic resource] /] / editor, K. Nasu |
Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2004 |
Descrizione fisica | 1 online resource (354 p.) |
Disciplina |
530.4/14
530.474 |
Altri autori (Persone) | NasuK <1946-> (Keiichirō) |
Soggetto topico |
Exciton theory
Phase transformations (Statistical physics) Charge transfer - Research Ionic crystals - Spectra High spin physics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-87712-3
9786611877125 981-256-572-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; Chapter 1 Theories for Photoinduced Structural Phase Transitions and their Dynamics Keiichiro Nasu; Chapter 2 Time-Resolved Spectroscopy of the Dynamics of Photoinduced Ionic-to-Neutral Phase Transition in Tetrathiafulvalen-P-Chloranil Crystals Katsumi Tanimura; Chapter 3 Study on the Cooperative Photoinduced Low-Spin to High-Spin State Conversion Processes Osamu Sakai and Tetsuo Ogawa; Chapter 4 Femtosecond Dynamics of the Photo-Induced Lattice Rearrangements in Quasi-One-Dimensional Halogen-Bridged Platinum Complexes Tohru Suemoto, Shinichi Tomimoto and Taira Matsuoka
Chapter 5 Monte Carlo Simulations on Ising-Like Models for Photoinduced Phase Transitions Tohru Kawamoto and Shuji AbeChapter 6 Photoinduced Phase Transitions in One-Dimensional Correlated Electron Systems Hiroshi Okamoto, Shin-ichiro Iwai and Hiroyuki Matsuzaki; Chapter 7 Probing Photoinduced Structural Phase Transitions by Fast or Ultra-Fast Time-Resolved X-Ray Diffraction Herve Cailleau, Eric Collet, Marylise Buron-Le Cointe, Marie-Helene Lemee-Cailleau and; Index |
Record Nr. | UNINA-9910450228503321 |
Singapore ; ; Hackensack, NJ, : World Scientific, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Photoinduced phase transitions [[electronic resource] /] / editor, K. Nasu |
Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2004 |
Descrizione fisica | 1 online resource (354 p.) |
Disciplina |
530.4/14
530.474 |
Altri autori (Persone) | NasuK <1946-> (Keiichirō) |
Soggetto topico |
Exciton theory
Phase transformations (Statistical physics) Charge transfer - Research Ionic crystals - Spectra High spin physics |
ISBN |
1-281-87712-3
9786611877125 981-256-572-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; Chapter 1 Theories for Photoinduced Structural Phase Transitions and their Dynamics Keiichiro Nasu; Chapter 2 Time-Resolved Spectroscopy of the Dynamics of Photoinduced Ionic-to-Neutral Phase Transition in Tetrathiafulvalen-P-Chloranil Crystals Katsumi Tanimura; Chapter 3 Study on the Cooperative Photoinduced Low-Spin to High-Spin State Conversion Processes Osamu Sakai and Tetsuo Ogawa; Chapter 4 Femtosecond Dynamics of the Photo-Induced Lattice Rearrangements in Quasi-One-Dimensional Halogen-Bridged Platinum Complexes Tohru Suemoto, Shinichi Tomimoto and Taira Matsuoka
Chapter 5 Monte Carlo Simulations on Ising-Like Models for Photoinduced Phase Transitions Tohru Kawamoto and Shuji AbeChapter 6 Photoinduced Phase Transitions in One-Dimensional Correlated Electron Systems Hiroshi Okamoto, Shin-ichiro Iwai and Hiroyuki Matsuzaki; Chapter 7 Probing Photoinduced Structural Phase Transitions by Fast or Ultra-Fast Time-Resolved X-Ray Diffraction Herve Cailleau, Eric Collet, Marylise Buron-Le Cointe, Marie-Helene Lemee-Cailleau and; Index |
Record Nr. | UNINA-9910783643503321 |
Singapore ; ; Hackensack, NJ, : World Scientific, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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