Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

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Release : 2019-01-24
Genre : Science
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Book Rating : 711/5 ( reviews)

Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems write by Taiki Haga. This book was released on 2019-01-24. Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems available in PDF, EPUB and Kindle. 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.

Lectures On Phase Transitions And The Renormalization Group

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Release : 2018-03-08
Genre : Science
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Book Rating : 128/5 ( reviews)

Lectures On Phase Transitions And The Renormalization Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures On Phase Transitions And The Renormalization Group write by Nigel Goldenfeld. This book was released on 2018-03-08. Lectures On Phase Transitions And The Renormalization Group available in PDF, EPUB and Kindle. Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Nonequilibrium Phase Transitions in Driven Vortex Matter

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Book Rating : 874/5 ( reviews)

Nonequilibrium Phase Transitions in Driven Vortex Matter - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonequilibrium Phase Transitions in Driven Vortex Matter write by Shun Maegochi. This book was released on . Nonequilibrium Phase Transitions in Driven Vortex Matter available in PDF, EPUB and Kindle.

Phase Transitions and Renormalization Group

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Release : 2007-07-05
Genre : Mathematics
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Book Rating : 195/5 ( reviews)

Phase Transitions and Renormalization Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Phase Transitions and Renormalization Group write by Jean Zinn-Justin. This book was released on 2007-07-05. Phase Transitions and Renormalization Group available in PDF, EPUB and Kindle. No further information has been provided for this title.

Unconventional Phase Transitions in Random Systems

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Release : 2016
Genre : Lattice dynamics
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Unconventional Phase Transitions in Random Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unconventional Phase Transitions in Random Systems write by Hatem Nuri Barghathi. This book was released on 2016. Unconventional Phase Transitions in Random Systems available in PDF, EPUB and Kindle. "In this thesis we study the effects of different types of disorder and quasiperiodic modulations on quantum, classical and nonequilibrium phase transitions. After a brief introduction, we examine the effect of topological disorder on phase transitions and explain a host of violations of the Harris and Imry-Ma criteria that predict the fate of disordered phase transitions. We identify a class of random and quasiperiodic lattices in which a topological constraint introduces strong anticorrelations leading to modifications of the Harris and Imry-Ma criteria for such lattices. We investigate whether or not the Imry-Ma criterion, that predicts that random field disorder destroys phase transitions in equilibrium systems in sufficiently low dimensions, also holds for nonequilibrium phase transitions. We find that the Imry-Ma criterion does not apply to a prototypical absorbing state nonequilibrium transition. In addition, we study the effect of disorder with long-range spatial correlations on the absorbing state phase transition in the contact process. Most importantly, we find that long-range correlations enhance the Griffiths singularities and change the universality class of the transition. We also investigate the absorbing state phase transition of the contact process with quasiperiodic transition rates using a real-space renormalization group which yields a complete theory of the resulting exotic infinite-modulation critical point. Moreover, we study the effect of quenched disorder on a randomly layered Heisenberg magnet by means of a large-scale Monte-Carlo simulations. We find that the transition follows the infinite-randomness critical point scenario. Finally, we investigate the effect of quenched disorder on the first-order phase transition in the N-color quantum Ashkin-Teller model by means of strong-disorder renormalization group theory. We find that disorder rounds the first-order quantum phase transition in agreement with quantum version of the Imry-Ma criterion"--Abstract, page v.