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Application of integrable systems to phase transitions / / C.B. Wang
| Application of integrable systems to phase transitions / / C.B. Wang |
| Autore | Wang C. B |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (x, 219 pages) : illustrations |
| Disciplina | 530.474 |
| Collana | Gale eBooks |
| Soggetto topico |
Phase transformations (Statistical physics)
Statistical physics |
| ISBN | 3-642-38565-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Densities in Hermitian Matrix Models -- Bifurcation Transitions and Expansions -- Large-N Transitions and Critical Phenomena -- Densities in Unitary Matrix Models -- Transitions in the Unitary Matrix Models -- Marcenko-Pastur Distribution and McKay’s Law. |
| Record Nr. | UNINA-9910437879603321 |
Wang C. B
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| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Chemistry versus physics [[electronic resource] ] : chemical reactions near critical points / / Moshe Gitterman
| Chemistry versus physics [[electronic resource] ] : chemical reactions near critical points / / Moshe Gitterman |
| Autore | Gitterman M |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica | xi, 136 p. : ill |
| Disciplina | 530.474 |
| Soggetto topico |
Critical phenomena (Physics)
Critical point Chemistry, Physical and theoretical |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76184-6
9786612761843 981-4291-21-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Criticality and Chemistry; The Effect of Criticality on Chemical Reaction; Effect of Chemistry on Critical Phenomena; Phase Separation in Reactive Systems; Comments on the Geometry of the Phase Diagram of a Reaction Mixture; Sound Propagation and Light Scattering in Chemically Reactive Systems. |
| Record Nr. | UNINA-9910455622103321 |
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Gitterman M
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Chemistry versus physics [[electronic resource] ] : chemical reactions near critical points / / Moshe Gitterman
| Chemistry versus physics [[electronic resource] ] : chemical reactions near critical points / / Moshe Gitterman |
| Autore | Gitterman M |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica | xi, 136 p. : ill |
| Disciplina | 530.474 |
| Soggetto topico |
Critical phenomena (Physics)
Critical point Chemistry, Physical and theoretical |
| ISBN |
1-282-76184-6
9786612761843 981-4291-21-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Criticality and Chemistry; The Effect of Criticality on Chemical Reaction; Effect of Chemistry on Critical Phenomena; Phase Separation in Reactive Systems; Comments on the Geometry of the Phase Diagram of a Reaction Mixture; Sound Propagation and Light Scattering in Chemically Reactive Systems. |
| Record Nr. | UNINA-9910780896403321 |
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Gitterman M
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Chemistry versus physics : chemical reactions near critical points / / Moshe Gitterman
| Chemistry versus physics : chemical reactions near critical points / / Moshe Gitterman |
| Autore | Gitterman M |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica | xi, 136 p. : ill |
| Disciplina | 530.474 |
| Soggetto topico |
Critical phenomena (Physics)
Critical point Chemistry, Physical and theoretical |
| ISBN |
1-282-76184-6
9786612761843 981-4291-21-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Criticality and Chemistry; The Effect of Criticality on Chemical Reaction; Effect of Chemistry on Critical Phenomena; Phase Separation in Reactive Systems; Comments on the Geometry of the Phase Diagram of a Reaction Mixture; Sound Propagation and Light Scattering in Chemically Reactive Systems. |
| Record Nr. | UNINA-9910826614103321 |
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Gitterman M
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Colloid Process Engineering / / edited by Matthias Kind, Wolfgang Peukert, Heinz Rehage, Heike P. Schuchmann
| Colloid Process Engineering / / edited by Matthias Kind, Wolfgang Peukert, Heinz Rehage, Heike P. Schuchmann |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (397 p.) |
| Disciplina |
530.474
620 620.1064 620.11 660 670 |
| Soggetto topico |
Industrial engineering
Production engineering Chemical engineering Materials science Fluid mechanics Phase transitions (Statistical physics) Industrial and Production Engineering Industrial Chemistry/Chemical Engineering Characterization and Evaluation of Materials Engineering Fluid Dynamics Phase Transitions and Multiphase Systems |
| ISBN | 3-319-15129-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fundamental principles and modeling -- Production of colloidal systems with solid dispersive phase -- Production of colloidal systems with liquid dispersive phase -- New Processes. |
| Record Nr. | UNINA-9910299836503321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Complexity and criticality / Kim Christensen, Nicholas R. Moloney
| Complexity and criticality / Kim Christensen, Nicholas R. Moloney |
| Autore | Christensen, Kim, 1962- |
| Pubbl/distr/stampa | London : Imperial College Press, 2005 |
| Descrizione fisica | xvi, 392 p. : ill. ; 23 cm |
| Disciplina | 530.474 |
| Altri autori (Persone) | Moloney, Nicholas R. |
| Collana | Imperial College Press advanced physics texts ; v. 1 |
| Soggetto topico |
Critical phenomena (Physics)
Percolation (Statistical physics) Biocomplexity |
| ISBN | 1860945171 |
| Classificazione |
LC QC173.4.C74
53.1.6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001913409707536 |
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Christensen, Kim, 1962-
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| London : Imperial College Press, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Concentration of maxima and fundamental limits in high-dimensional testing and inference / / Zheng Gao, Stilian Stoev
| Concentration of maxima and fundamental limits in high-dimensional testing and inference / / Zheng Gao, Stilian Stoev |
| Autore | Gao Zheng |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2021] |
| Descrizione fisica | 1 online resource (147 pages) |
| Disciplina | 530.474 |
| Collana | Springer Briefs in Probability and Mathematical Statistics |
| Soggetto topico |
Phase transformations (Statistical physics)
Phase transformations (Statistical physics) - Data processing Màxims i mínims Transformacions de fase (Física estadística) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80964-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- 1 Introduction and Guiding Examples -- 1.1 The Additive Error Model -- 1.2 Genome-Wide Association Studies and the Chi-Square Model -- 1.3 Contents -- 2 Risks, Procedures, and Error Models -- 2.1 Statistical Risks -- 2.2 Statistical Procedures -- 2.3 Related Literature and Our Contributions -- 2.4 Relationships Between the Asymptotic Risks -- 2.5 The Asymptotic Generalized Gaussian (AGG) Models -- 2.6 Rapid Variation and Relative Stability -- 2.7 Auxiliary Facts About Gaussian Distributions -- 3 A Panorama of Phase Transitions -- 3.1 Sparse Signal Detection Problems -- 3.2 Sparse Signal Support Recovery Problems -- 3.3 The Exact Support Recovery Problem -- 3.4 The Approximate Support Recovery Problem -- 3.5 Monotonicity of the Benjamini-Hochberg Procedure -- 3.6 The Exact-Approximate Support Recovery Problem -- 3.7 The Approximate-Exact Support Recovery Problem -- 3.8 Asymptotic Power Analysis: A Discussion -- 4 Exact Support Recovery Under Dependence -- 4.1 Generalizations of Distributional and Dependence Assumptions -- 4.2 Sufficient Conditions for Exact Support Recovery -- 4.3 Dependence and Uniform Relative Stability -- 4.4 Necessary Conditions for Exact Support Recovery -- 4.5 Dense Signals -- 4.6 Numerical Illustrations for Independent Errors -- 5 Bayes and Minimax Optimality -- 5.1 Bayes Optimality in Support Recovery Problems -- 5.2 Bayes Optimality of Oracle Thresholding -- 5.3 Bayes Optimality of Likelihood Ratio Thresholding -- 5.4 Sub-optimality of Data Thresholding Procedures -- 5.5 Minimax Optimality in Exact Support Recovery -- 5.5.1 Point-Wise Minimax Optimality for Thresholding Procedures -- 5.5.2 Minimax Optimality over All Procedures -- 5.6 Optimality and Sub-optimality: A Discussion -- 6 Uniform Relative Stability for Gaussian Arrays.
6.1 Ramsey's Theory and the Structure of Correlation Matrices -- 6.2 URS Implies UDD (Proof of the ``Only If'' Part of Theorem6.1) -- 6.3 UDD Implies URS (Proof of the `If' Part of Theorem6.1) -- 6.3.1 Bounding the Upper Tails of AGG Maxima -- 6.3.2 Bounding the Lower Tails of Gaussian Maxima -- 6.4 Numerical Illustrations of Exact Support Recovery Under Dependence -- 7 Fundamental Statistical Limits in Genome-Wide Association Studies -- 7.1 Support Recovery Problems in Chi-Squared Models -- 7.1.1 The Exact Support Recovery Problem -- 7.1.2 The Exact-Approximate Support Recovery Problem -- 7.1.3 The Approximate Support Recovery Problem -- 7.1.4 The Approximate-Exact Support Recovery Problem -- 7.1.5 Comparison of One- Versus Two-Sided Alternatives in Additive Error Models -- 7.2 Odds Ratios and Statistical Power -- 7.3 Optimal Study Designs and Rare Variants -- 7.4 Phase Transitions in Large-Scale Association Screening Studies -- 7.5 Numerical Illustrations of the Phase Transitions in Chi-Square Models -- 7.5.1 Exact Support Recovery -- 7.5.2 Approximate, and Approximate-Exact Support Recovery -- Appendix A Additional Proofs -- A.1 Auxiliary Facts of Chi-Square Distributions -- A.2 Proof of Theorem7.1摥映數爠eflinkthm:chispssquaredspsexactspsboundary7.17 -- A.3 Proof of Theorem7.3摥映數爠eflinkthm:chispssquaredspsapproxspsboundary7.37 -- A.4 Proof of Theorems7.2摥映數爠eflinkthm:chispssquaredspsexactspsapproxspsboundary7.27 and 7.4摥映數爠eflinkthm:chispssquaredspsapproxspsexactspsboundary7.47 -- Appendix B Exact Support Recovery in Non AGG Models -- B.1 Strong Classification Boundaries in Other Light-Tailed Error Models -- B.1.1 Additive Error Models with Heavier-Than-AGG Tails -- B.1.2 Additive Error Models with Lighter-Than-AGG Tails -- B.2 Thresholding Procedures Under Heavy-Tailed Errors -- Appendix Bibliography. |
| Record Nr. | UNISA-996466403603316 |
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Gao Zheng
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| Cham, Switzerland : , : Springer International Publishing, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Concentration of maxima and fundamental limits in high-dimensional testing and inference / / Zheng Gao, Stilian Stoev
| Concentration of maxima and fundamental limits in high-dimensional testing and inference / / Zheng Gao, Stilian Stoev |
| Autore | Gao Zheng |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2021] |
| Descrizione fisica | 1 online resource (147 pages) |
| Disciplina | 530.474 |
| Collana | Springer Briefs in Probability and Mathematical Statistics |
| Soggetto topico |
Phase transformations (Statistical physics)
Phase transformations (Statistical physics) - Data processing Màxims i mínims Transformacions de fase (Física estadística) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80964-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- 1 Introduction and Guiding Examples -- 1.1 The Additive Error Model -- 1.2 Genome-Wide Association Studies and the Chi-Square Model -- 1.3 Contents -- 2 Risks, Procedures, and Error Models -- 2.1 Statistical Risks -- 2.2 Statistical Procedures -- 2.3 Related Literature and Our Contributions -- 2.4 Relationships Between the Asymptotic Risks -- 2.5 The Asymptotic Generalized Gaussian (AGG) Models -- 2.6 Rapid Variation and Relative Stability -- 2.7 Auxiliary Facts About Gaussian Distributions -- 3 A Panorama of Phase Transitions -- 3.1 Sparse Signal Detection Problems -- 3.2 Sparse Signal Support Recovery Problems -- 3.3 The Exact Support Recovery Problem -- 3.4 The Approximate Support Recovery Problem -- 3.5 Monotonicity of the Benjamini-Hochberg Procedure -- 3.6 The Exact-Approximate Support Recovery Problem -- 3.7 The Approximate-Exact Support Recovery Problem -- 3.8 Asymptotic Power Analysis: A Discussion -- 4 Exact Support Recovery Under Dependence -- 4.1 Generalizations of Distributional and Dependence Assumptions -- 4.2 Sufficient Conditions for Exact Support Recovery -- 4.3 Dependence and Uniform Relative Stability -- 4.4 Necessary Conditions for Exact Support Recovery -- 4.5 Dense Signals -- 4.6 Numerical Illustrations for Independent Errors -- 5 Bayes and Minimax Optimality -- 5.1 Bayes Optimality in Support Recovery Problems -- 5.2 Bayes Optimality of Oracle Thresholding -- 5.3 Bayes Optimality of Likelihood Ratio Thresholding -- 5.4 Sub-optimality of Data Thresholding Procedures -- 5.5 Minimax Optimality in Exact Support Recovery -- 5.5.1 Point-Wise Minimax Optimality for Thresholding Procedures -- 5.5.2 Minimax Optimality over All Procedures -- 5.6 Optimality and Sub-optimality: A Discussion -- 6 Uniform Relative Stability for Gaussian Arrays.
6.1 Ramsey's Theory and the Structure of Correlation Matrices -- 6.2 URS Implies UDD (Proof of the ``Only If'' Part of Theorem6.1) -- 6.3 UDD Implies URS (Proof of the `If' Part of Theorem6.1) -- 6.3.1 Bounding the Upper Tails of AGG Maxima -- 6.3.2 Bounding the Lower Tails of Gaussian Maxima -- 6.4 Numerical Illustrations of Exact Support Recovery Under Dependence -- 7 Fundamental Statistical Limits in Genome-Wide Association Studies -- 7.1 Support Recovery Problems in Chi-Squared Models -- 7.1.1 The Exact Support Recovery Problem -- 7.1.2 The Exact-Approximate Support Recovery Problem -- 7.1.3 The Approximate Support Recovery Problem -- 7.1.4 The Approximate-Exact Support Recovery Problem -- 7.1.5 Comparison of One- Versus Two-Sided Alternatives in Additive Error Models -- 7.2 Odds Ratios and Statistical Power -- 7.3 Optimal Study Designs and Rare Variants -- 7.4 Phase Transitions in Large-Scale Association Screening Studies -- 7.5 Numerical Illustrations of the Phase Transitions in Chi-Square Models -- 7.5.1 Exact Support Recovery -- 7.5.2 Approximate, and Approximate-Exact Support Recovery -- Appendix A Additional Proofs -- A.1 Auxiliary Facts of Chi-Square Distributions -- A.2 Proof of Theorem7.1摥映數爠eflinkthm:chispssquaredspsexactspsboundary7.17 -- A.3 Proof of Theorem7.3摥映數爠eflinkthm:chispssquaredspsapproxspsboundary7.37 -- A.4 Proof of Theorems7.2摥映數爠eflinkthm:chispssquaredspsexactspsapproxspsboundary7.27 and 7.4摥映數爠eflinkthm:chispssquaredspsapproxspsexactspsboundary7.47 -- Appendix B Exact Support Recovery in Non AGG Models -- B.1 Strong Classification Boundaries in Other Light-Tailed Error Models -- B.1.1 Additive Error Models with Heavier-Than-AGG Tails -- B.1.2 Additive Error Models with Lighter-Than-AGG Tails -- B.2 Thresholding Procedures Under Heavy-Tailed Errors -- Appendix Bibliography. |
| Record Nr. | UNINA-9910502638103321 |
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Gao Zheng
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| Cham, Switzerland : , : Springer International Publishing, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Critical behavior of non-ideal systems. / / Dmitry Yu. Ivanov
| Critical behavior of non-ideal systems. / / Dmitry Yu. Ivanov |
| Autore | Ivanov Dmitry Yu |
| Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
| Descrizione fisica | 1 online resource (273 p.) |
| Disciplina |
530.474
541 |
| Soggetto topico | Critical phenomena (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-02143-5
9786612021435 3-527-62398-1 3-527-62399-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Critical Behavior of Non-Ideal Systems; Foreword to the Russian Edition; Foreword to the English Edition; Contents; Editor's Preface; Introduction; Part I The Statics of Critical Phenomena; 1 Statics of Critical Phenomena in the Nearest Vicinity of the Critical Point: Experimental Manifestation; 1.1 Short History of Critical Phenomena Research; 1.2 Peculiarities of the Experiment in the Nearest Vicinity of the Critical Point; 1.2.1 ""Experimental"" Critical Indices; 1.2.2 Determination of Critical Parameters; 1.2.3 Purity of Matter; 1.2.4 Determination of Critical Density
1.2.5 Determination of Critical Temperature and Pressure1.3 Experiments Near the Critical Point in the Presence of the Gravitational Field; 1.3.1 The Gravitational Effect; 1.3.2 The Coexistence Curve; 1.3.3 Singularity of the Diameter of the Coexistence Curve; 1.3.4 The Critical Isotherm; 1.3.5 Isothermal Compressibility Along the Critical Isochore; 1.3.6 (p - T)-Dependence Along the Critical Isochore; 2 Critical Indices and Amplitudes; 2.1 Phenomenological Model of the Critical Behavior of Nonideal Systems; 2.2 Critical Indices: External Field Effects; 2.2.1 Critical Index β 2.2.1.1 The Gravitational Effect2.2.1.2 The Influence of Surface Forces; 2.2.1.3 The Influence of Fields: Comparison with Magnetic Materials; 2.2.1.4 Comparison with Metals; 2.2.2 Critical Index δ; 2.2.2.1 The Influence of Gravitation; 2.2.2.2 The Influence of Coulomb Forces; 2.2.3 Critical Index γ; 2.2.3.1 The Influence of Gravitation; 2.2.4 Critical Index α; 2.2.4.1 The Influence of Gravitation; 2.2.5 Critical Index of the Correlation Radius υ; 2.2.6 Micellar Systems; 2.2.7 Influence of Boundaries: Finite-Size Effects; 2.2.8 Results and Consequences; 2.2.9 Some Unresolved Problems 2.3 Critical Indices and Amplitudes2.3.1 Universal Relations Between Critical Indices; 2.3.2 Universal Relations Between Critical Amplitudes; 2.3.3 Correlation Between Critical Index and Critical Amplitude Values; 3 Thermodynamics of the Metastable State; 3.1 The ""Pseudospinodal"" Hypothesis; 3.1.1 The History of the Occurrence of the ""Pseudospinodal Hypthesis""; 3.1.2 The Universal ""Pseudospinodal""; 3.2 The van der Waals Spinodal; 3.2.1 First-Order Stability Conditions; 3.2.2 Higher Order Stability Conditions; 3.2.3 Approaching the Instability Points; 3.2.4 The Instability Area 3.3 Thermodynamic Analysis of the ""Pseudospinodal"" Hypothesis3.3.1 Physics and Geometry; 3.3.2 Mathematical Foundation; 3.3.3 Thermodynamic Consequences; 3.4 Experimental Test of the ""Pseudospinodal"" Hypothesis; Part II The Dynamics of Critical Phenomena; 4 Foundations of Critical Dynamics; 4.1 Introduction; 4.2 Critical Fluctuations: Light Scattering Intensity; 4.3 Kinetics of Critical Fluctuations: Light Scattering Spectrum; 4.4 Dynamic Critical Indices and Universal Amplitude; 4.5 Scattering of Higher Orders; 5 Critical Opalescence: Modeling; 5.1 Introduction 5.2 Techniques and Experimental Methods |
| Record Nr. | UNINA-9910144380803321 |
|
Ivanov Dmitry Yu
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||
| Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Critical behavior of non-ideal systems. / / Dmitry Yu. Ivanov
| Critical behavior of non-ideal systems. / / Dmitry Yu. Ivanov |
| Autore | Ivanov Dmitry Yu |
| Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
| Descrizione fisica | 1 online resource (273 p.) |
| Disciplina |
530.474
541 |
| Soggetto topico | Critical phenomena (Physics) |
| ISBN |
1-282-02143-5
9786612021435 3-527-62398-1 3-527-62399-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Critical Behavior of Non-Ideal Systems; Foreword to the Russian Edition; Foreword to the English Edition; Contents; Editor's Preface; Introduction; Part I The Statics of Critical Phenomena; 1 Statics of Critical Phenomena in the Nearest Vicinity of the Critical Point: Experimental Manifestation; 1.1 Short History of Critical Phenomena Research; 1.2 Peculiarities of the Experiment in the Nearest Vicinity of the Critical Point; 1.2.1 ""Experimental"" Critical Indices; 1.2.2 Determination of Critical Parameters; 1.2.3 Purity of Matter; 1.2.4 Determination of Critical Density
1.2.5 Determination of Critical Temperature and Pressure1.3 Experiments Near the Critical Point in the Presence of the Gravitational Field; 1.3.1 The Gravitational Effect; 1.3.2 The Coexistence Curve; 1.3.3 Singularity of the Diameter of the Coexistence Curve; 1.3.4 The Critical Isotherm; 1.3.5 Isothermal Compressibility Along the Critical Isochore; 1.3.6 (p - T)-Dependence Along the Critical Isochore; 2 Critical Indices and Amplitudes; 2.1 Phenomenological Model of the Critical Behavior of Nonideal Systems; 2.2 Critical Indices: External Field Effects; 2.2.1 Critical Index β 2.2.1.1 The Gravitational Effect2.2.1.2 The Influence of Surface Forces; 2.2.1.3 The Influence of Fields: Comparison with Magnetic Materials; 2.2.1.4 Comparison with Metals; 2.2.2 Critical Index δ; 2.2.2.1 The Influence of Gravitation; 2.2.2.2 The Influence of Coulomb Forces; 2.2.3 Critical Index γ; 2.2.3.1 The Influence of Gravitation; 2.2.4 Critical Index α; 2.2.4.1 The Influence of Gravitation; 2.2.5 Critical Index of the Correlation Radius υ; 2.2.6 Micellar Systems; 2.2.7 Influence of Boundaries: Finite-Size Effects; 2.2.8 Results and Consequences; 2.2.9 Some Unresolved Problems 2.3 Critical Indices and Amplitudes2.3.1 Universal Relations Between Critical Indices; 2.3.2 Universal Relations Between Critical Amplitudes; 2.3.3 Correlation Between Critical Index and Critical Amplitude Values; 3 Thermodynamics of the Metastable State; 3.1 The ""Pseudospinodal"" Hypothesis; 3.1.1 The History of the Occurrence of the ""Pseudospinodal Hypthesis""; 3.1.2 The Universal ""Pseudospinodal""; 3.2 The van der Waals Spinodal; 3.2.1 First-Order Stability Conditions; 3.2.2 Higher Order Stability Conditions; 3.2.3 Approaching the Instability Points; 3.2.4 The Instability Area 3.3 Thermodynamic Analysis of the ""Pseudospinodal"" Hypothesis3.3.1 Physics and Geometry; 3.3.2 Mathematical Foundation; 3.3.3 Thermodynamic Consequences; 3.4 Experimental Test of the ""Pseudospinodal"" Hypothesis; Part II The Dynamics of Critical Phenomena; 4 Foundations of Critical Dynamics; 4.1 Introduction; 4.2 Critical Fluctuations: Light Scattering Intensity; 4.3 Kinetics of Critical Fluctuations: Light Scattering Spectrum; 4.4 Dynamic Critical Indices and Universal Amplitude; 4.5 Scattering of Higher Orders; 5 Critical Opalescence: Modeling; 5.1 Introduction 5.2 Techniques and Experimental Methods |
| Record Nr. | UNINA-9910830907703321 |
|
Ivanov Dmitry Yu
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| Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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