Articoli correlati a Stochastic Ferromagnetism: Analysis and Numerics: 58
This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLLG). Comparative computational studies with the stochastic model are included. Constructive tools such as e.g. finite element methods are used to derive the theoretical results, which are then used for computational studies.
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L.Banas, Univ. Bielefeld, Germany; Z.Brzezniak, Univ. York, UK;M.Neklyudov, Univ. Sydney, Australia;A.Prohl, Univ. Tübingen, Germany.
9783110306996, Stochastic Ferromagnetism: Analysis And Numerics by Zdzislaw Brzezniak, De Gruyter, Hardcover
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- EditoreDe Gruyter
- Data di pubblicazione2013
- ISBN 10 3110306999
- ISBN 13 9783110306996
- RilegaturaCopertina rigida
- Numero edizione1
- Numero di pagine242
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Stochastic Ferromagnetism (De Gruyter Studies in Mathematics, 58) by Prohl, Andreas, Banas, Lubomir, Brzezniak, Zdzislaw, Neklyudov, Mikhail [Hardcover ]
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Stochastic Ferromagnetism
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ISBN 10: 3110306999
ISBN 13: 9783110306996
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Descrizione libro Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLLG). The first part of the book studies the role of noise in finite ensembles of nanomagnetic particles: we show geometric ergodicity of a unique invariant measure of Gibbs type and study related properties of approximations of the SLLG, including time discretization and Ginzburg-Landau type penalization. In the second part we propose an implementable space-time discretization using random walks to construct a weak martingale solution of the corresponding stochastic partial differential equation which describes the magnetization process of infinite spin ensembles. The last part of the book is concerned with a macroscopic deterministic equation which describes temperature effects on macro-spins, i.e. expectations of the solutions to the SLLG. Furthermore, comparative computational studies with the stochastic model are included. We use constructive tools such as e.g. finite element methods to derive the theoretical results, which are then used for computational studies. The numerical experiments motivate an interesting interplay between inherent geometric and stochastic effects of the SLLG which still lack a rigorous analytical understanding: the role of space-time white noise, possible finite time blow-up behavior of solutions, long-time asymptotics, and effective dynamics. 248 pp. Englisch. Codice articolo 9783110306996
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Descrizione libro Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. L.Banas, Univ. Bielef. Codice articolo 4457200
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Stochastic Ferromagnetism : Analysis and Numerics
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Descrizione libro Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLLG). The first part of the book studies the role of noise in finite ensembles of nanomagnetic particles: we show geometric ergodicity of a unique invariant measure of Gibbs type and study related properties of approximations of the SLLG, including time discretization and Ginzburg-Landau type penalization. In the second part we propose an implementable space-time discretization using random walks to construct a weak martingale solution of the corresponding stochastic partial differential equation which describes the magnetization process of infinite spin ensembles. The last part of the book is concerned with a macroscopic deterministic equation which describes temperature effects on macro-spins, i.e. expectations of the solutions to the SLLG. Furthermore, comparative computational studies with the stochastic model are included. We use constructive tools such as e.g. finite element methods to derive the theoretical results, which are then used for computational studies. The numerical experiments motivate an interesting interplay between inherent geometric and stochastic effects of the SLLG which still lack a rigorous analytical understanding: the role of space-time white noise, possible finite time blow-up behavior of solutions, long-time asymptotics, and effective dynamics. Codice articolo 9783110306996
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Stochastic Ferromagnetism: Analysis and Numerics (De Gruyter Studies in Mathematics, 58)
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Stochastic Ferromagnetism: Analysis and Numerics (De Gruyter Studies in Mathematics, 58)
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