Ebook: Statistical Physics: An Advanced Approach with Applications Web-enhanced with Problems and Solutions
- Tags: Statistical Physics Dynamical Systems and Complexity, Condensed Matter Physics, Statistics for Engineering Physics Computer Science Chemistry and Earth Sciences
- Series: Advanced Texts in Physics
- Year: 2002
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 2
- Language: English
- pdf
The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The second edition has been updated and enlarged with new material on estimators based on a probability distribution for the parameters, identification of stochastic models from observations, and statistical tests and classification methods (Chaps. 10-12). Moreover, a customized set of problems with solutions is accessible on the Web. The author teaches and conducts research on stochastic dynamical systems at the University of Freiburg, Germany.
Content:
Front Matter....Pages I-XIV
Statistical Physics Is More than Statistical Mechanics....Pages 1-2
Front Matter....Pages 3-3
Random Variables: Fundamentals of Probability Theory and Statistics....Pages 5-50
Random Variables in State Space: Classical Statistical Mechanics of Fluids....Pages 51-114
Random Fields: Textures and Classical Statistical Mechanics of Spin Systems....Pages 115-153
Time-Dependent Random Variables: Classical Stochastic Processes....Pages 155-212
Quantum Random Systems....Pages 213-287
Changes of External Conditions....Pages 289-305
Front Matter....Pages 307-307
Estimation of Parameters....Pages 309-337
Signal Analysis: Estimation of Spectra....Pages 339-385
Estimators Based on a Probability Distribution for the Parameters....Pages 387-401
Identification of Stochastic Models from Observations....Pages 403-430
Estimating the Parameters of a Hidden Stochastic Model....Pages 431-444
Statistical Tests and Classification Methods....Pages 445-469
Back Matter....Pages 471-517
Content:
Front Matter....Pages I-XIV
Statistical Physics Is More than Statistical Mechanics....Pages 1-2
Front Matter....Pages 3-3
Random Variables: Fundamentals of Probability Theory and Statistics....Pages 5-50
Random Variables in State Space: Classical Statistical Mechanics of Fluids....Pages 51-114
Random Fields: Textures and Classical Statistical Mechanics of Spin Systems....Pages 115-153
Time-Dependent Random Variables: Classical Stochastic Processes....Pages 155-212
Quantum Random Systems....Pages 213-287
Changes of External Conditions....Pages 289-305
Front Matter....Pages 307-307
Estimation of Parameters....Pages 309-337
Signal Analysis: Estimation of Spectra....Pages 339-385
Estimators Based on a Probability Distribution for the Parameters....Pages 387-401
Identification of Stochastic Models from Observations....Pages 403-430
Estimating the Parameters of a Hidden Stochastic Model....Pages 431-444
Statistical Tests and Classification Methods....Pages 445-469
Back Matter....Pages 471-517
....