This text marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. It treats the infinite system limit, and discusses thermodynamic functions and states. The conceptual foundation provided by the book should be useful for the study of developments of stat
Statistical Physics and Dynamical Systems: Rigorous Results
β Scribed by R. A. Minlos (auth.), J. Fritz, A. Jaffe, D. SzΓ‘sz (eds.)
- Publisher
- BirkhΓ€user Basel
- Year
- 1985
- Tongue
- English
- Leaves
- 489
- Series
- Progress in Physics 10
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xxi
The Algebra of Many-Particle Operators....Pages 1-15
C*-Algebra Approach to Ground States of the XY-Model....Pages 17-39
Bulk Diffusion for Interacting Brownian Particles....Pages 41-48
Spectral Properties of Random and Almost Periodic Differential and Finite-Difference Operators....Pages 49-66
Equilibrium Fluctuations for Some Stochastic Particle Systems....Pages 67-81
Linear and Related Models of Time Evolution in Quantum Statistical Mechanics....Pages 83-104
Systems with Random Couplings on Diamond Lattices....Pages 105-126
On the Diffusion in Dynamical Systems....Pages 127-135
The Dynamics of a Particle Interacting with a Semi-Infinite Ideal Gas is a Bernoulli Flow....Pages 137-152
A Generalization of Carateodoryβs Construction for Dimensional Characteristic of Dynamic Systems....Pages 153-189
Convergence of Images of Certain Measures....Pages 191-201
Cluster Expansion for Unbounded Non-Finite Potential....Pages 203-219
Thermal Layer Solutions of the Boltzmann Equation....Pages 221-234
Hyperbolicity and MΓΆller-Morphism for a Model of Classical Statistical Mechanics....Pages 235-251
Quantum Stochastic Processes....Pages 253-284
Absolutely Continuous Invariant Measures for Some Maps of the Circle....Pages 285-302
Some Problems in Vortex Theory....Pages 303-315
The Maxwell Rule and Phase Separation in the Hierarchical Vector-Valued Ο 4 -Model....Pages 317-327
Constructive Criterion for the Uniqueness of Gibbs Field....Pages 329-345
Completely Analytical Gibbs Fields....Pages 347-370
Diffusion, Mobility and the Einstein Relation....Pages 371-403
Transition from Pure Point to Continuous Spectrum for Random SchrΓΆdinger Equations: Some Examples....Pages 405-441
Rigorous Studies of Critical Behavior II....Pages 443-452
Back Matter....Pages 453-481
....Pages 482-482
β¦ Subjects
Science, general
π SIMILAR VOLUMES
This text marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. It treats the infinite system limit, and discusses thermodynamic functions and states. The conceptual foundation provided by the book should be useful for the study of developments of stat
This text marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. It treats the infinite system limit, and discusses thermodynamic functions and states. The conceptual foundation provided by the book should be useful for the study of developments of stat
This text marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. It treats the infinite system limit, and discusses thermodynamic functions and states. The conceptual foundation provided by the book should be useful for the study of developments of stat
<span>This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptua