Metastability A Potential-Theoretic Approach /

• Κύριοι συγγραφείς: Bovier, Anton (Συγγραφέας), den Hollander, Frank (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 351
• Θέματα: Mathematics.; Probabilities.; Mathematical physics.; Physics.; Probability Theory and Stochastic Processes.; Mathematical Physics.; Theoretical, Mathematical and Computational Physics.

Metastability is a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise. This monograph provides a concise presentation of mathematical approach to metastability base...

Πίνακας περιεχομένων:

• Part I Introduction
• 1.Background and motivation
• 2.Aims and scopes
• Part II Markov processes 3.Some basic notions from probability theory
• 4.Markov processes in discrete time.- 5.Markov processes in continuous time
• 6.Large deviations
• 7.Potential theory
• Part III Metastability
• 8.Key definitions and basic properties
• 9.Basic techniques
• Part IV Applications: Diffusions with small noise
• 10.Discrete reversible diffusions
• 11.Diffusion processes with gradient drift
• 12.Stochastic partial differential equations
• Part V Applications: Coarse-graining at positive temperatures
• 13.The Curie-Weiss model
• 14.The Curie-Weiss model with a random magnetic field: discrete distributions
• 15.The Curie-Weiss model with random magnetic field: continuous distributions
• Part VI Applications: Lattice systems in small volumes at low temperatures
• 16.Abstract set-up and metastability in the zero-temperature limit
• 17.Glauber dynamics
• 18.Kawasaki dynamics
• Part VII Applications: Lattice systems in large volumes at low temperatures
• 19.Glauber dynamics
• 20.Kawasaki dynamics
• Part VIII Applications: Lattice systems in small volumes at high densities
• 21.The zero-range process
• Part IX Challenges
• 22.Challenges within metastability
• 23.Challenges beyond metastability
• References.-Glossary
• Index.  .