Nonlinear Phenomena at Phase Transitions and Instabilities

Nonlinear Phenomena at Phase Transitions and Instabilities PDF Author: Tormod Riste
Publisher: Springer Science & Business Media
ISBN: 1468441272
Category : Science
Languages : en
Pages : 479

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Book Description
This NATO Advanced Study Institute, held in Geilo between March 29th and April 9th 1981, was the sixth in a series devoted to the subject of phase transitions and instabilities. The present institute was intended to provide a forum for discussion of the importance of nonlinear phenomena associated with instabilities in systems as seemingly disparate as ferroelectrics and rotating buckets of oil. Ten years ago, at the first Geilo school, the report of a central peak in the fluctuation spectrum of SrTi0 close to its 3 106 K structural phase transition demonstrated that the simple soft-mode theory of such transitions was incomplete. The missing ingredient was the essential nonlinearity of the system. Parti cipants at this year's Geilo school heard assessments of a decade of experimental and theoretical effort which has been expended to elucidate the nature of this nonlinearity. The importance of order ed clusters and the walls which bound them was stressed in this con text. A specific type of wall, the soliton, was discussed by a number of speakers. New experimental results which purport to demonstrate the existence of solitons in a one-dimensional ferromagnet were presented. A detailed discussion was given of the role of solitons in transport phenomena in driven multistable systems, typified by a sine-Gordon chain.

Nonlinear Phenomena at Phase Transitions and Instabilities

Nonlinear Phenomena at Phase Transitions and Instabilities PDF Author: Tormod Riste
Publisher: Springer Science & Business Media
ISBN: 1468441272
Category : Science
Languages : en
Pages : 479

Get Book Here

Book Description
This NATO Advanced Study Institute, held in Geilo between March 29th and April 9th 1981, was the sixth in a series devoted to the subject of phase transitions and instabilities. The present institute was intended to provide a forum for discussion of the importance of nonlinear phenomena associated with instabilities in systems as seemingly disparate as ferroelectrics and rotating buckets of oil. Ten years ago, at the first Geilo school, the report of a central peak in the fluctuation spectrum of SrTi0 close to its 3 106 K structural phase transition demonstrated that the simple soft-mode theory of such transitions was incomplete. The missing ingredient was the essential nonlinearity of the system. Parti cipants at this year's Geilo school heard assessments of a decade of experimental and theoretical effort which has been expended to elucidate the nature of this nonlinearity. The importance of order ed clusters and the walls which bound them was stressed in this con text. A specific type of wall, the soliton, was discussed by a number of speakers. New experimental results which purport to demonstrate the existence of solitons in a one-dimensional ferromagnet were presented. A detailed discussion was given of the role of solitons in transport phenomena in driven multistable systems, typified by a sine-Gordon chain.

Nonlinear Phenomena at Phase Transitions and Instabilities

Nonlinear Phenomena at Phase Transitions and Instabilities PDF Author: Tormod Riste
Publisher:
ISBN: 9781468441284
Category :
Languages : en
Pages : 496

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Book Description


Nonlinear Phenomena at Phase Transitions and Instabilities

Nonlinear Phenomena at Phase Transitions and Instabilities PDF Author: T RISTE (ED.)
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description


Nonlinear Phenomena at Phase Transitions and Instabilities

Nonlinear Phenomena at Phase Transitions and Instabilities PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 481

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Book Description


Nonlinear Phenomena at Phase Transitions and Instabilities. Proceedings of a NATO Advanced Study Institute. Geilo. 29 March - 9 April, 1981

Nonlinear Phenomena at Phase Transitions and Instabilities. Proceedings of a NATO Advanced Study Institute. Geilo. 29 March - 9 April, 1981 PDF Author: Tormod Riste
Publisher:
ISBN:
Category :
Languages : en
Pages : 481

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Book Description


NONLINEAR PHENOMENA AT PHASE TRANSITIONS AND INSTABILITIES : PROCEEDINGS OF A NATO ADVANCED STUDY INST. HELD AT GEILO, NORWAY, MARCH 29 APRIL 9, 1981

NONLINEAR PHENOMENA AT PHASE TRANSITIONS AND INSTABILITIES : PROCEEDINGS OF A NATO ADVANCED STUDY INST. HELD AT GEILO, NORWAY, MARCH 29 APRIL 9, 1981 PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 481

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Book Description


Fluctuations, Instabilities, and Phase Transitions

Fluctuations, Instabilities, and Phase Transitions PDF Author: T. Riste
Publisher: Springer Science & Business Media
ISBN: 1461589126
Category : Science
Languages : en
Pages : 389

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Book Description
This book contains the papers presented at the NATO Advanced Study Institute held at Geilo, Norway, 11th - 20th April 1975. The institute was the third in a row devoted to phase transitions. The previous two dealt with 2nd- and 1st-order transitions in equilibrium systems and the proceedings have been published.i~ In order to make an overlap wi th those institutes, the first part of this institute was devoted to 1st -or der transitions with an emphasis on the problems of metast abi l i t y and instability en countered i n spinodal decomposition, nucleation etc. The main topic was, however, that of non-equilibrium systems, and the present institute was to our knowledge the first one devoted to the physics of such systems. The discovery of the analogy between phase transitions in equilibrium systems and instabilities in non-equilibrium systems was first made by Rolf Landauer in 1961 and later independently by others. The analogy was first pointed out for electronic devices (tunnel diodes, Gunn oscillators, lasers, etc. ) and the treatment of hydrodynamic instabilities followed later.

Instabilities and Nonequilibrium Structures V

Instabilities and Nonequilibrium Structures V PDF Author: E. Tirapegui
Publisher: Springer Science & Business Media
ISBN: 9400902395
Category : Science
Languages : en
Pages : 359

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Book Description
This volume contains a selection of the lectures given at the Fifth International Workshop on Instabilities and Nonequilibrium Structures, held in Santiago, Chile, in December 1993. The following general subjects are covered: instabilities and pattern formation, stochastic effects in nonlinear systems, nonequilibrium statistical mechanics and granular matter. Review articles on transitions between spatio-temporal patterns and nonlinear wave equations are also included. Audience: This book should appeal to physicists and mathematicians working in the areas of nonequilibrium systems, dynamical systems, pattern formation and partial differential equations. Chemists and biologists interested in self-organization and statistical mechanics should also be interested, as well as engineers working in fluid mechanics and materials science.

Instabilities and Nonequilibrium Structures VI

Instabilities and Nonequilibrium Structures VI PDF Author: E. Tirapegui
Publisher: Springer Science & Business Media
ISBN: 9401142475
Category : Science
Languages : en
Pages : 404

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Book Description
This book contains two introductory papers on important topics of nonlinear physics. The first one, by M. San Miguel et al., refers to the effect of noise in nonequilibrium systems. The second, by M.E. Brachet, is a modern introduction to turbulence in fluids. The material can be very useful for short courses and is presented accordingly. The authors have made their texts self-contained. The volume also contains a selection of the invited seminars given at the Sixth International Workshop on Instabilities and Nonequilibrium Structures. Audience: This book should be of interest to graduate students and scientists interested in the fascinating problems of nonlinear physics.

Nonlinear Phenomena in Complex Systems

Nonlinear Phenomena in Complex Systems PDF Author: A.N. Proto
Publisher: Elsevier
ISBN: 0444598758
Category : Science
Languages : en
Pages : 264

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Book Description
This book contains a thorough treatment of neural networks, cellular-automata and synergetics, in an attempt to provide three different approaches to nonlinear phenomena in complex systems. These topics are of major interest to physicists active in the fields of statistical mechanics and dynamical systems. They have been developed with a high degree of sophistication and include the refinements necessary to work with the complexity of real systems as well as the more recent research developments in these areas.