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Phase transitions and renormalization group / / Jean Zinn-Justin
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  
Oxford, : Oxford University Press, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Phase transitions in foods / / Yrjö H. Roos, Stephan Drusch
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.  
Amsterdam, [Netherlands] : , : Academic Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Phase transitions in foods / / Yrjö H. Roos, Stephan Drusch
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.  
Amsterdam, [Netherlands] : , : Academic Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Phase transitions in solids under high pressure / / V.D. Blank and E.I. Estrin
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.  
Boca Raton, FL : , : CRC Press, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Phase transitions in solids under high pressure / / V.D. Blank and E.I. Estrin
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.  
Boca Raton, FL : , : CRC Press, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Phasenübergang 1. Art bei Gittergasmodellen; : klassische Systeme gleichartiger Teilchen mit paarweiser Wechselwirkung
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  
Springer Berlin Heidelberg
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Phasenübergang 1. Art bei Gittergasmodellen; : klassische Systeme gleichartiger Teilchen mit paarweiser Wechselwirkung
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  
Springer Berlin Heidelberg
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Photoassociation of Ultracold CsYb Molecules and Determination of Interspecies Scattering Lengths / / by Alexander Guttridge
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  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Photoinduced phase transitions [[electronic resource] /] / editor, K. Nasu
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Photoinduced phase transitions [[electronic resource] /] / editor, K. Nasu
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui