This book presents an introduction to the main concepts of statistical physics, followed by applications to specific problems and more advanced concepts, selected for their pedagogical or practical interest.
A group of distinguished scientists contributes to the foundations of a new discipline in Earth sciences: earthquake thermodynamics and thermodynamics of formation of the Earth's interior structures.
The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians.
Our original objective in writing this book was to demonstrate how the concept of the equation of motion of a Brownian particle - the Langevin equation or Newtonian-like evolution equation of the random phase space variables describing the motion - first formulated by Langevin in 1908 - so making him inter alia the founder of the subject of stochastic differential equations, may be extended to solve the nonlinear problems arising from the Brownian motion in a potential.