Statistical Physics: An Advanced Approach with Applications

✍ Scribed by Josef Honerkamp (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 556
• Series: Graduate texts in physics
• Edition: 3
• Category: Library

✦ Synopsis

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 third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.

✦ Table of Contents

Front Matter....Pages i-xiv
Front Matter....Pages 3-3
Statistical Physics Is More than Statistical Mechanics....Pages 1-2
Front Matter....Pages 3-3
Random Variables: Fundamentals of Probability Theory and Statistics....Pages 5-52
Random Variables in State Space: Classical Statistical Mechanics of Fluids....Pages 53-119
Random Fields: Textures and Classical Statistical Mechanics of Spin Systems....Pages 121-159
Time-Dependent Random Variables: Classical Stochastic Processes....Pages 161-219
Quantum Random Systems....Pages 221-296
Changes of External Conditions....Pages 297-313
Front Matter....Pages 315-315
Estimation of Parameters....Pages 317-346
Signal Analysis: Estimation of Spectra....Pages 347-403
Estimators Based on a Probability Distribution for the Parameters....Pages 405-420
Identification of Stochastic Models from Observations....Pages 421-466
Estimating the Parameters of a Hidden Stochastic Model....Pages 467-481
Statistical Tests and Classification Methods....Pages 483-507
Back Matter....Pages 509-553

✦ Subjects

Statistical Physics, Dynamical Systems and Complexity;Mathematical Methods in Physics;Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences