Universality In Nonequilibrium Lattice Systems Theoretical Foundations

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Universality In Nonequilibrium Lattice Systems

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Author : Geza Odor
language : en
Publisher: World Scientific
Release Date : 2008

Universality In Nonequilibrium Lattice Systems written by Geza Odor and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.

Universal scaling behavior is an attractive feature in statistical physics because a wide range of models can be classified purely in terms of their collective behavior due to a diverging correlation length. This book provides a comprehensive overview of dynamical universality classes occurring in nonequilibrium systems defined on regular lattices. The factors determining these diverse universality classes have yet to be fully understood, but the book attempts to summarize our present knowledge, taking them into account systematically.The book helps the reader to navigate in the zoo of basic models and classes that were investigated in the past decades, using field theoretical formalism and topological diagrams of phase spaces. Based on a review in Rev. Mod. Phys. by the author, it incorporates surface growth classes, classes of spin models, percolation and multi-component system classes as well as damage spreading transitions. (The success of that review can be quantified by the more than one hundred independent citations of that paper since 2004.)The extensions in this book include new topics like local scale invariance, tricritical points, phase space topologies, nonperturbative renormalization group results and disordered systems that are discussed in more detail. This book also aims to be more pedagogical, providing more background and derivation of results. Topological phase space diagrams introduced by Kamenev (Physical Review E 2006) very recently are used as a guide for one-component, reaction-diffusion systems.

Universality In Nonequilibrium Lattice Systems Theoretical Foundations

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Author : Geza Odor
language : en
Publisher: World Scientific
Release Date : 2008-05-08

Universality In Nonequilibrium Lattice Systems Theoretical Foundations written by Geza Odor and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-08 with Science categories.

Universal scaling behavior is an attractive feature in statistical physics because a wide range of models can be classified purely in terms of their collective behavior due to a diverging correlation length. This book provides a comprehensive overview of dynamical universality classes occurring in nonequilibrium systems defined on regular lattices. The factors determining these diverse universality classes have yet to be fully understood, but the book attempts to summarize our present knowledge, taking them into account systematically.The book helps the reader to navigate in the zoo of basic models and classes that were investigated in the past decades, using field theoretical formalism and topological diagrams of phase spaces. Based on a review in Rev. Mod. Phys. by the author, it incorporates surface growth classes, classes of spin models, percolation and multi-component system classes as well as damage spreading transitions. (The success of that review can be quantified by the more than one hundred independent citations of that paper since 2004.)The extensions in this book include new topics like local scale invariance, tricritical points, phase space topologies, nonperturbative renormalization group results and disordered systems that are discussed in more detail. This book also aims to be more pedagogical, providing more background and derivation of results. Topological phase space diagrams introduced by Kamenev (Physical Review E 2006) very recently are used as a guide for one-component, reaction-diffusion systems.

Field Theory Of Non Equilibrium Systems

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Author : Alex Kamenev
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-05

Field Theory Of Non Equilibrium Systems written by Alex Kamenev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-05 with Science categories.

The physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more recently found applications in the dynamics of cold atomic gases, mesoscopic and nano-mechanical systems, and quantum computation. This book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. A highly pedagogical and self-contained approach is adopted within the text, making it ideal as a reference for graduate students and researchers in condensed matter physics. In this Second Edition, the text has been substantially updated to include recent developments in the field such as driven-dissipative quantum systems, kinetics of fermions with Berry curvature, and Floquet kinetics of periodically driven systems, among many other important new topics. Problems have been added throughout, structured as compact guided research projects that encourage independent exploration.

Non Equilibrium Phase Transitions

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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-27

Non Equilibrium Phase Transitions written by Malte Henkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Science categories.

This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.

Mathematical Modeling And Optimization For Real Life Phenomena

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Author : Cristiana J. Silva
language : en
Publisher: Frontiers Media SA
Release Date : 2024-03-13

Mathematical Modeling And Optimization For Real Life Phenomena written by Cristiana J. Silva and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-13 with Science categories.

Mathematical modeling of real life phenomena is a powerful tool in analyzing and describing their dynamical behavior. These models can be optimized and controlled using appropriate optimization methods and optimal control theory. Different characterization techniques are used to explain a real natural phenomenon by numerical simulations or experimental approximations.

Self Organized Criticality Three Decades Later

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Author : Subhrangshu Sekhar Manna
language : en
Publisher: Frontiers Media SA
Release Date : 2022-01-28

Self Organized Criticality Three Decades Later written by Subhrangshu Sekhar Manna and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-28 with Science categories.

Controlling Mesoscale Turbulence

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Author : Henning Reinken
language : en
Publisher: Springer Nature
Release Date : 2024-09-27

Controlling Mesoscale Turbulence written by Henning Reinken and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-27 with Technology & Engineering categories.

This thesis combines methods from statistical physics and nonlinear dynamics to advance research on the pattern formation in active fluids in several directions. In particular, it focuses on mesoscale turbulence, a state observed in microswimmer suspensions, which is characterized by the emergence of dynamic vortex patterns. The first major contribution concerns the bottom-up derivation of a frequently used continuum model of mesoscale turbulence from a set of particle-resolved stochastic equations. Utilizing the model, mesoscale turbulence is shown to induce nontrivial transport properties including a regime of optimal diffusion. The thesis then explores possible strategies of control. One of these relies on an external field that leads to stripe-like structures and can even suppress patterns entirely. The other involves geometric confinement realized by strategically placed obstacles that can reorganize the flow into a variety of ordered vortex structures. The turbulence transition inside an obstacle lattice is shown to have an intriguing analogy to an equilibrium transition in the Ising universality class. As a whole, this thesis provides important contributions to the understanding and control of turbulence in active fluids, as well as outlining exciting future directions, including applications. It includes a substantial introduction to the topic, which is suitable for newcomers to the field.

Phase Transitions And Critical Phenomena

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Author :
language : en
Publisher: Elsevier
Release Date : 2000-09-21

Phase Transitions And Critical Phenomena written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-21 with Science categories.

The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. It has moved into a central place in condensed matter studies.Statistical physics, and more specifically, the theory of transitions between states of matter, more or less defines what we know about 'everyday' matter and its transformations.The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments.

Cognitive Phase Transitions In The Cerebral Cortex Enhancing The Neuron Doctrine By Modeling Neural Fields

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Author : Robert Kozma
language : en
Publisher: Springer
Release Date : 2015-10-30

Cognitive Phase Transitions In The Cerebral Cortex Enhancing The Neuron Doctrine By Modeling Neural Fields written by Robert Kozma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-30 with Technology & Engineering categories.

This intriguing book was born out of the many discussions the authors had in the past 10 years about the role of scale-free structure and dynamics in producing intelligent behavior in brains. The microscopic dynamics of neural networks is well described by the prevailing paradigm based in a narrow interpretation of the neuron doctrine. This book broadens the doctrine by incorporating the dynamics of neural fields, as first revealed by modeling with differential equations (K-sets). The book broadens that approach by application of random graph theory (neuropercolation). The book concludes with diverse commentaries that exemplify the wide range of mathematical/conceptual approaches to neural fields. This book is intended for researchers, postdocs, and graduate students, who see the limitations of network theory and seek a beachhead from which to embark on mesoscopic and macroscopic neurodynamics.

Recent Progress In Many Body Theories

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Author : Jordi Boronat
language : en
Publisher: World Scientific
Release Date : 2008

Recent Progress In Many Body Theories written by Jordi Boronat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.

This volume contains the main contributions to the 14th International Conference on Recent Progress in Many-Body Theories (RPMBT14) held at the Technical University of Catalonia, Spain, in July 2007. This conference, which was first held in Trieste in 1979, is devoted to new developments in the field of many-body theories, which are being applied and developed in a rapidly growing number of fields. The emphasis is twofold: progress in the technical aspects of microscopic theories and a review of recent applications of many-body techniques. In addition to the more traditional topics, such as nuclear physics and quantum liquids, the present volume also includes the most recent results on atomic physics, cold Bose and Fermi gases, phase transitions and quantum information. Moreover, the volume contains the lectures of the winners of the 2007 Feenberg Medal and 2007 Kuemmel Award, as well as their laudatios.