Author: Hans J Herrmann
Publisher: World Scientific
ISBN: 9814553565
Category :
Languages : en
Pages : 403
Book Description
Dynamics Of First Order Phase Transitions - Proceedings Of The Workshop
Author: Hans J Herrmann
Publisher: World Scientific
ISBN: 9814553565
Category :
Languages : en
Pages : 403
Book Description
Publisher: World Scientific
ISBN: 9814553565
Category :
Languages : en
Pages : 403
Book Description
Dynamics of First-Order Phase Transitions in Equilibrium and Nonequilibrium Systems
Author: S. W. Koch
Publisher:
ISBN: 9783662179727
Category :
Languages : en
Pages : 160
Book Description
Publisher:
ISBN: 9783662179727
Category :
Languages : en
Pages : 160
Book Description
Statics and Dynamics of First Order Phase Transitions
Author: Yannis Drossinos
Publisher:
ISBN:
Category : Phase transformations (Statistical physics)
Languages : en
Pages : 242
Book Description
Publisher:
ISBN:
Category : Phase transformations (Statistical physics)
Languages : en
Pages : 242
Book Description
Dynamics of First-order Phase Transitions in Equilibrium and Nonequilibrium Systems
Author: Stephan W. Koch
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 158
Book Description
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 158
Book Description
Dynamics of First Order Phase Transitions
Collapse of Metastability
Author: Seiji Miyashita
Publisher: Springer Nature
ISBN: 9811966680
Category : Science
Languages : en
Pages : 260
Book Description
To understand phenomena in nature, it is important to focus not only on properties of stationary states, but also their changes in time, that is, the dynamics between bistable states. This book reviews the mechanics of first-order phase transitions and discusses relaxation and collapses of metastable states from various viewpoints, including Kramers' method for the lifetime of metastability, Langer’s analysis on the singularity, effects of thermal fluctuation studied by Néel and Brown, and eigenvalue structures of the transfer-matrix for the phase transitions. The book also goes into the mechanics of metastability in quantum systems from the viewpoints of the eigenvalue problem of the Hamiltonian and the Liouvillian for a dynamical process and discusses relations between quantum tunneling processes and metastability therein. Lastly, the coercivity of magnets consisting of an ensemble of grains is reviewed. The book is beneficial for those new in the field as a primer on first-order phase transition from modern perspectives. The comprehensive content offers overviews of related topics and allows readers to quickly catch up with developments in the field.
Publisher: Springer Nature
ISBN: 9811966680
Category : Science
Languages : en
Pages : 260
Book Description
To understand phenomena in nature, it is important to focus not only on properties of stationary states, but also their changes in time, that is, the dynamics between bistable states. This book reviews the mechanics of first-order phase transitions and discusses relaxation and collapses of metastable states from various viewpoints, including Kramers' method for the lifetime of metastability, Langer’s analysis on the singularity, effects of thermal fluctuation studied by Néel and Brown, and eigenvalue structures of the transfer-matrix for the phase transitions. The book also goes into the mechanics of metastability in quantum systems from the viewpoints of the eigenvalue problem of the Hamiltonian and the Liouvillian for a dynamical process and discusses relations between quantum tunneling processes and metastability therein. Lastly, the coercivity of magnets consisting of an ensemble of grains is reviewed. The book is beneficial for those new in the field as a primer on first-order phase transition from modern perspectives. The comprehensive content offers overviews of related topics and allows readers to quickly catch up with developments in the field.
Dynamical Phase Transitions in Chaotic Systems
Author: Edson Denis Leonel
Publisher: Springer Nature
ISBN: 9819922445
Category : Mathematics
Languages : en
Pages : 83
Book Description
This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.
Publisher: Springer Nature
ISBN: 9819922445
Category : Mathematics
Languages : en
Pages : 83
Book Description
This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.
Dynamics of First-Order Phase Transitions in Equilibrium and Nonequilibrium Systems
Author: S. W. Koch
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 162
Book Description
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 162
Book Description
Directions In Condensed Matter Physics: Memorial Volume In Honor Of Shang-keng Ma
Author: Geoffrey Grinstein
Publisher: World Scientific
ISBN: 9814513601
Category : Science
Languages : en
Pages : 270
Book Description
This volume collects several in-depth articles giving lucid discussions on new developments in statistical and condensed matter physics. Many, though not all, contributors had been in touch with the late S-K Ma. Written by some of the world's experts and originators of new ideas in the field, this book is a must for all researchers in theoretical physics. Most of the articles should be accessible to diligent graduate students and experienced readers will gain from the wealth of materials contained herein.
Publisher: World Scientific
ISBN: 9814513601
Category : Science
Languages : en
Pages : 270
Book Description
This volume collects several in-depth articles giving lucid discussions on new developments in statistical and condensed matter physics. Many, though not all, contributors had been in touch with the late S-K Ma. Written by some of the world's experts and originators of new ideas in the field, this book is a must for all researchers in theoretical physics. Most of the articles should be accessible to diligent graduate students and experienced readers will gain from the wealth of materials contained herein.
Phase Transition Dynamics
Author: Tian Ma
Publisher: Springer Science & Business Media
ISBN: 1461489636
Category : Mathematics
Languages : en
Pages : 575
Book Description
This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.
Publisher: Springer Science & Business Media
ISBN: 1461489636
Category : Mathematics
Languages : en
Pages : 575
Book Description
This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.