Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems /
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| Author / Creator: | Haga, Taiki, author. |
|---|---|
| Imprint: | Singapore : Springer, 2019. |
| Description: | 1 online resource |
| Language: | English |
| Series: | Springer theses Springer theses. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11796951 |
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| 100 | 1 | |a Haga, Taiki, |e author. | |
| 245 | 1 | 0 | |a Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems / |c Taiki Haga. |
| 264 | 1 | |a Singapore : |b Springer, |c 2019. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Springer theses | |
| 500 | |a "Doctoral thesis accepted by the Kyoto University, Kyoto, Japan." | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed January 29, 2019). | |
| 505 | 0 | |a Intro; Supervisor's Foreword; Parts of this thesis have been published in the following journal articles:; Acknowledgements; Contents; 1 Introduction; 1.1 Physics of Phase Transitions; 1.2 Phase Transitions in Disordered Systems; 1.2.1 Models of Disordered Systems; 1.2.2 Imry and Ma's Argument; 1.2.3 Dimensional Reduction; 1.2.4 Other Models of Disordered Systems; 1.3 Disordered Systems Driven Out of Equilibrium; 1.3.1 Collective Transports in Random Media; 1.3.2 Phase Transitions in Driven Disordered Systems; 1.4 Purpose of This Study; 1.5 Outline of This Thesis; References | |
| 505 | 8 | |a 2 Functional Renormalization Group of Disordered Systems2.1 Why is the Functional Renormalization Group Treatment Necessary?; 2.2 FRG of the Random Manifold Model; 2.2.1 RG Equation of the Disorder Correlator; 2.2.2 Roughness Exponent Near Four Dimensions; 2.3 FRG of the Random Field and Random Anisotropy O(N) Models; 2.3.1 RG Equation of the Disorder Correlator; 2.3.2 Critical Exponents; 2.3.3 Fixed Point of the Random Field O(N) Model; 2.3.4 Fixed Point of the Random Anisotropy O(N) Model; References; 3 Nonperturbative Renormalization Group; 3.1 General Formalism; 3.1.1 Statics | |
| 505 | 8 | |a 5 Nonequilibrium Kosterlitz-Thouless Transition in the Three-Dimensional Driven Random Field XY Model5.1 Spin-Wave Calculation; 5.2 Numerical Simulation; 5.2.1 Correlation Function; 5.2.2 Phase Diagram; 5.3 RG Analysis of the Spin-Wave Model; 5.3.1 Exact Flow Equation for the Effective Action; 5.3.2 Flow Equations of the Disorder Cumulants; 5.3.3 RG Evolution of the Disorder Cumulants; 5.4 Effect of Vortices; References; 6 Summary and Future Perspectives; References | |
| 520 | |a This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz?Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems. | ||
| 650 | 0 | |a Phase transformations (Statistical physics) |0 http://id.loc.gov/authorities/subjects/sh85100646 | |
| 650 | 0 | |a Broken symmetry (Physics) |0 http://id.loc.gov/authorities/subjects/sh85017032 | |
| 650 | 1 | 4 | |a Statistical Physics and Dynamical Systems. |0 http://scigraph.springernature.com/things/product-market-codes/P19090 |
| 650 | 2 | 4 | |a Phase Transitions and Multiphase Systems. |0 http://scigraph.springernature.com/things/product-market-codes/P25099 |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |0 http://scigraph.springernature.com/things/product-market-codes/P19013 |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
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| 650 | 7 | |a Phase transformations (Statistical physics) |2 fast |0 (OCoLC)fst01060410 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Haga, Taiki. |t Renormalization group analysis of nonequilibrium phase transitions in driven disordered systems. |d Singapore : Springer, 2019 |z 9811361703 |z 9789811361708 |w (OCoLC)1080425949 |
| 830 | 0 | |a Springer theses. |0 http://id.loc.gov/authorities/names/no2010186160 | |
| 880 | 8 | |6 505-00/(S |a 4.3.2 Exact Flow Equation for the Effective Action4.3.3 Derivative Expansion; 4.3.4 Dimensionless Quantities; 4.3.5 RG Equations Near the Lower Critical Dimensions; 4.4 Critical Exponents; 4.4.1 Analytic Fixed Point; 4.4.2 Nonanalytic Fixed Point; 4.4.3 Fixed Line in the Case that N=2 and D=3; 4.4.4 Random Anisotropy Case; 4.5 Correlation Length in Three Dimensions; 4.6 Appendix; 4.6.1 Propagators; 4.6.2 Flow Equation for Fk(ρ); 4.6.3 Flow Equation for Δk(ψ1,ψ2); 4.6.4 Flow Equations for Xk, vk, Zk, and Tk; 4.6.5 Numerical Scheme to Calculate the Fixed Point; References | |
| 880 | 8 | |6 505-00/(S |a 3.1.2 Dynamics3.2 NPRG of the O(N) Model; 3.2.1 Derivative Expansion; 3.2.2 Flow Equations; 3.2.3 Fixed Point and Critical Exponents; 3.3 NP-FRG of Disordered Systems; 3.3.1 General Formalism of the NP-FRG; 3.3.2 NP-FRG of the Random Manifold Model; 3.3.3 NP-FRG of the Random Field O(N) Model; 3.4 Appendix; 3.4.1 Exact Flow Equation for Γk; 3.4.2 Exact Flow Equations for Γp, k; References; 4 Dimensional Reduction and its Breakdown in the Driven Random Field O(N) Model; 4.1 Driven Random Field O(N) Model; 4.2 Dimensional Reduction; 4.3 NP-FRG Formalism; 4.3.1 Scale-Dependent Effective Action | |
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