Non-equilibrium Statistical Physics with Application to Disordered Systems

• Main Author: Cáceres, Manuel Osvaldo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Physics.; Physical chemistry.; System theory.; Mathematical physics.; Statistics.; Thermodynamics.; Heat engineering.; Heat transfer.; Mass transfer.; Complex Systems.; Physical Chemistry.; Mathematical Physics.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Engineering Thermodynamics, Heat and Mass Transfer.; Statistical Physics and Dynamical Systems.

This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergradu...

Table of Contents:

• Elements of probability theory
• 2. Fluctuations close to thermodynamic equilibrium
• 3. Elements of Stochastic processes
• 4. Irreversibility, the Fokker-Planek equation
• 5. Irreversibility, linear response
• 6. Introduction to diffusive transport
• Diffusion in disordered media
• 9. Non-equilibrium statistical mechanics
• 9. Metastable and unstable states
• Appendix A. Thermodynamic variables in statistical mechanics
• Appendix B. Relaxation to the stationary state
• Appendix C. The Green function of the problem of an impurity
• Appendix D. The waiting-time function of the CTRW
• Appendix E. Non-Markovian effects against irreversibility
• Appendix F. The density matrix
• Appendix G. Kubo’s formula for the susceptibility
• Appendix H. Fractals
• Appendix I. Quantum open systems.