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Statistical physics : an advanced approach with applications /

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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 wou...

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Bibliographic Details
Main Author: Honerkamp, J.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1998]
Subjects:
Statistical physics.
Natuurkunde.
Statistische methoden.
Statistische mechanica.
Fisica Estatistica (Mec Estatistica)
Physique statistique.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Statistical Physics Is More than Statistical Mechanics
  • Modeling of Statistical Systems
  • Random Variables: Fundamentals of Probability Theory and Statistics
  • Probability and Random Variables
  • The Space of Events
  • Introduction of Probability
  • Random Variables
  • Multivariate Random Variables and Conditional Probabilities
  • Multidimensional Random Variables
  • Marginal Densities
  • Conditional Probabilities and Bayes' Theorem
  • Moments and Quantiles
  • Moments
  • Quantiles
  • The Entropy
  • Entropy for a Discrete Set of Events
  • Entropy for a Continuous Space of Events
  • Relative Entropy
  • Applications
  • Computations with Random Variables
  • Addition and Multiplication of Random Variables
  • Further Important Random Variables
  • Limit Theorems
  • Stable Random Variables and Renormalization Transformations
  • Stable Random Variables
  • The Renormalization Transformation
  • Stability Analysis
  • Scaling Behavior
  • The Large Deviation Property for Sums of Random Variables
  • Random Variables in State Space: Classical Statistical Mechanics of Fluids
  • The Microcanonical System
  • Systems in Contact
  • Thermal Contact
  • Systems with Exchange of Volume and Energy
  • Systems with Exchange of Particles and Energy
  • Thermodynamic Potentials
  • Susceptibilities
  • Heat Capacities
  • Isothermal Compressibility
  • Isobaric Expansivity
  • Isochoric Tension Coefficient and Adiabatic Compressibility
  • A General Relation Between Response Functions
  • The Equipartition Theorem
  • The Radial Distribution Function.