Rutgers has a number of mathematical physicists in the department who study statistical mechanics and related subjects such as dynamical systems. During the semester, a mathematical physics seminar meets every Thursday. In addition, the department hosts a semi-annual statistical mechanics meeting near the end of each semester.

One-Dimensional systems
1. Generalizations of the Takahashi gas
2. The theory of Laplace transforms applied to 1-d systems
3. Generalizations of van Hove's theory of finite-neighbor interactions

Exactly solvable (continuum) models
1. Charged Systems - plasmas, electrolyte and ion-dipole systems
2. Gravitating Systems
3. Proofs of the non-existence of phase transitions

Stability of matter arguments
1. Improvements to the Lieb and Lebowitz arguments
2. Applications to the derivation of a "van der Waals plasma"

Probability
1. Brownian motion and other stochastic processes
2. Markov processes and semi-Markov processes

1. Providing an exact derivation of a van der Waals equation of state for a plasma in higher dimensions
2. Exploring the features of a one-dimensional two-component plasma with nearest-neighbor hard core exclusions with variable (non-additive) diameters
3. Analyzing a modified jellium model.

• Joel L. Lebowitz
• Sheldon Goldstein
• Eugene Speer
• Ovidiu Costin
• Avraham Soffer
• Amy Cohen
• Giovanni Gallavotti
• Antti Kupiainen
• Christopher Woodward
• Martin Kruskal

• Introductory Statistical Mechanics
  1. Classical Equilibrium Statistical Mechanics, C. Thompson
  2. Statistical Mechanics: A Short Treatise, G. Gallavotti
  3. Statistical Mechanics: Rigorous Results, D. Ruelle - Not for the mathematically squeamish.
  4. Science of Chaos or Chaos in Science?, J. Bricmont - This isn't a book, but it is a must read nonetheless! You can download a copy of it off the internet.
• Specialized Statistical Mechanics - (One Dimension)
  1. Simple Models of Equilibrium and Nonequilibrium Phenomena, ed. J. L. Lebowitz
  2. The Many-Body Problem: An Encyclopedia of Exactly Solved Models in One Dimension, ed. D. Mattis (formerly with E. Lieb)
• Probability and Brownian Motion
  1. Probability:  Theory and Examples, R. Durrett
  2. Brownian Motion and Martingales in Analysis, R. Durrett
  3. A First and Second Course in Stochastic Processes, H. Taylor and S. Karlin
  4. Popular Accounts of Physics and Mathematics
     1. A Brief History of Time, S. Hawking
     2. The Emperor's New Mind, R. Penrose
     3. Chaos, J. Gleick
     4. Metamagical Themas, D. Hofstadter - not really related to physics!