Dissipative systems from mechanical and thermodynamical points of view: Noise, fluctuation and relaxation in simple models Second Edition - Couverture souple
Synopsis
This book is intended to illustrate fluctuating behaviour and relevant properties of a small mechanical system in tight interaction with a heat bath, thereby experiencing position dependent frictional forces and stochastic random forces. It is focused on a one-dimensional classical mechanical system described by Langevin equation including inertia, driven by Gaussian white noise. The equation of motion is reduced to first order in time by solving the appropriate Hamilton-Jacobi equation with friction. The velocity is split into two components related to drift and diffusion respectively. The coefficients of the diffusion equation are evaluated up to third order in the asymptotic expansion for large friction. The Onsager-Machlup functional yielding the two-time transition probability density follows from Feynman-Kac path integral. In the alternative approach, the free energy variation of the small system is evaluated in terms of mechanical variable displacements, from which fluctuation probabilities follow by Einstein principle. The corresponding functional integral is recast into the form of OM functional by imposition of a constraint on the mean value of kinetic energy.
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Dissipative systems from mechanical and thermodynamical points of view
Edité par
LAP LAMBERT Academic Publishing Nov 2021, 2021
ISBN 10 : 6204717499
ISBN 13 : 9786204717494
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is intended to illustrate fluctuating behaviour and relevant properties of a small mechanical system in tight interaction with a heat bath, thereby experiencing position dependent frictional forces and stochastic random forces. It is focused on a one-dimensional classical mechanical system described by Langevin equation including inertia, driven by Gaussian white noise. The equation of motion is reduced to first order in time by solving the appropriate Hamilton-Jacobi equation with friction. The velocity is split into two components related to drift and diffusion respectively. The coefficients of the diffusion equation are evaluated up to third order in the asymptotic expansion for large friction. The Onsager-Machlup functional yielding the two-time transition probability density follows from Feynman-Kac path integral. In the alternative approach, the free energy variation of the small system is evaluated in terms of mechanical variable displacements, from which fluctuation probabilities follow by Einstein principle. The corresponding functional integral is recast into the form of OM functional by imposition of a constraint on the mean value of kinetic energy. 120 pp. Englisch. N° de réf. du vendeur 9786204717494
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Dissipative systems from mechanical and thermodynamical points of view
Edité par
LAP LAMBERT Academic Publishing, 2021
ISBN 10 : 6204717499
ISBN 13 : 9786204717494
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Battezzati MicheleMichele Battezzati, born in Turin, Piedmont (Italy). Laureate in Mathematical Sciences and in Physics with thesis in Biophysics at the Univ. of Genoa. Researcher at Consiglio nazionale delle Ricerche since 1969, Fir. N° de réf. du vendeur 537080164
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Dissipative systems from mechanical and thermodynamical points of view
Edité par
LAP LAMBERT Academic Publishing Nov 2021, 2021
ISBN 10 : 6204717499
ISBN 13 : 9786204717494
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is intended to illustrate fluctuating behaviour and relevant properties of a small mechanical system in tight interaction with a heat bath, thereby experiencing position dependent frictional forces and stochastic random forces. It is focused on a one-dimensional classical mechanical system described by Langevin equation including inertia, driven by Gaussian white noise. The equation of motion is reduced to first order in time by solving the appropriate Hamilton-Jacobi equation with friction. The velocity is split into two components related to drift and diffusion respectively. The coefficients of the diffusion equation are evaluated up to third order in the asymptotic expansion for large friction. The Onsager-Machlup functional yielding the two-time transition probability density follows from Feynman-Kac path integral. In the alternative approach, the free energy variation of the small system is evaluated in terms of mechanical variable displacements, from which fluctuation probabilities follow by Einstein principle. The corresponding functional integral is recast into the form of OM functional by imposition of a constraint on the mean value of kinetic energy.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 156 pp. Englisch. N° de réf. du vendeur 9786204717494
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Dissipative systems from mechanical and thermodynamical points of view : Noise, fluctuation and relaxation in simple models Second Edition
Edité par
LAP LAMBERT Academic Publishing, 2021
ISBN 10 : 6204717499
ISBN 13 : 9786204717494
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book is intended to illustrate fluctuating behaviour and relevant properties of a small mechanical system in tight interaction with a heat bath, thereby experiencing position dependent frictional forces and stochastic random forces. It is focused on a one-dimensional classical mechanical system described by Langevin equation including inertia, driven by Gaussian white noise. The equation of motion is reduced to first order in time by solving the appropriate Hamilton-Jacobi equation with friction. The velocity is split into two components related to drift and diffusion respectively. The coefficients of the diffusion equation are evaluated up to third order in the asymptotic expansion for large friction. The Onsager-Machlup functional yielding the two-time transition probability density follows from Feynman-Kac path integral. In the alternative approach, the free energy variation of the small system is evaluated in terms of mechanical variable displacements, from which fluctuation probabilities follow by Einstein principle. The corresponding functional integral is recast into the form of OM functional by imposition of a constraint on the mean value of kinetic energy. N° de réf. du vendeur 9786204717494
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Dissipative systems from mechanical and thermodynamical points of view | Noise, fluctuation and relaxation in simple models Second Edition
Edité par
LAP LAMBERT Academic Publishing, 2021
ISBN 10 : 6204717499
ISBN 13 : 9786204717494
Neuf
Taschenbuch
Vendeur : preigu, Osnabrück, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Dissipative systems from mechanical and thermodynamical points of view | Noise, fluctuation and relaxation in simple models Second Edition | Michele Battezzati | Taschenbuch | Englisch | 2021 | LAP LAMBERT Academic Publishing | EAN 9786204717494 | Verantwortliche Person für die EU: LAP Lambert Academic Publishing, Brivibas Gatve 197, 1039 RIGA, LETTLAND, customerservice[at]vdm-vsg[dot]de | Anbieter: preigu. N° de réf. du vendeur 120927522
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Dissipative systems from mechanical and thermodynamical points of view: Noise, fluctuation and relaxation in simple models Second Edition
Edité par
LAP LAMBERT Academic Publishing, 2021
ISBN 10 : 6204717499
ISBN 13 : 9786204717494
Neuf
paperback
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
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paperback. Etat : New. NEW. SHIPS FROM MULTIPLE LOCATIONS. book. N° de réf. du vendeur ERICA82362047174996
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