Elements of Nonequilibrium Statistical Mechanics

✍ Scribed by V. Balakrishnan

• Publisher: Springer International Publishing;Springer
• Year: 2021
• Tongue: English
• Leaves: 332
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book deals with the basic principles and techniques of nonequilibrium statistical mechanics. The importance of this subject is growing rapidly in view of the advances being made, both experimentally and theoretically, in statistical physics, chemical physics, biological physics, complex systems and several other areas. The presentation of topics is quite self-contained, and the choice of topics enables the student to form a coherent picture of the subject. The approach is unique in that classical mechanical formulation takes center stage. The book is of particular interest to advanced undergraduate and graduate students in engineering departments.

✦ Table of Contents

Front Matter ....Pages i-xix
Introduction (V. Balakrishnan)....Pages 1-9
The Langevin Equation (V. Balakrishnan)....Pages 10-23
The Fluctuation-Dissipation Relation (V. Balakrishnan)....Pages 24-30
The Velocity Autocorrelation Function (V. Balakrishnan)....Pages 31-46
Markov Processes (V. Balakrishnan)....Pages 47-69
The Fokker-Planck Equation and the Ornstein-Uhlenbeck Distribution (V. Balakrishnan)....Pages 70-80
The Diffusion Equation (V. Balakrishnan)....Pages 81-96
Diffusion in a Finite Region (V. Balakrishnan)....Pages 97-106
Brownian Motion (V. Balakrishnan)....Pages 107-128
First-Passage Time (V. Balakrishnan)....Pages 129-142
The Displacement of the Tagged Particle (V. Balakrishnan)....Pages 143-156
The Fokker-Planck Equation in Phase Space (V. Balakrishnan)....Pages 157-167
Diffusion in an External Potential (V. Balakrishnan)....Pages 168-190
Diffusion in a Magnetic Field (V. Balakrishnan)....Pages 191-202
Kubo-Green Formulas (V. Balakrishnan)....Pages 203-222
Mobility as a Generalized Susceptibility (V. Balakrishnan)....Pages 223-242
The Generalized Langevin Equation (V. Balakrishnan)....Pages 243-253
Back Matter ....Pages 254-314

✦ Subjects

Engineering; Engineering Thermodynamics, Heat and Mass Transfer; Theoretical and Computational Chemistry; Industrial Chemistry/Chemical Engineering