Statistical mechanics and many-body theory

Mainly involved in fundamental issues in nonequilibrium statistical mechanics, using the method of recurrence relations developed by me in 1982. Long time behavior in autocorrelation functions including slow decayin Hermitian systems is of central concern. Recent applications include the reduction of Fick's law of diffusion and the ergodic condition now known as an ergometer. A connection has been established between an ergometer and Birkhoff's ergodic theorem and also Khinchin's theorem. Perhaps most penetrating may be a new formulation of irreversibility in a Hermitian many body model.

Recent Publications

M.H. Lee, "Heisenberg, Langevin and current equations via the recurrence relations approach," Phys. Rev. E 61, 3571 (2000).

M.H. Lee, "Fick's law, Green-Kubo formula and Heisenberg equation of motion," Phys. Rev. Lett. 85, 2422 (2000).

M.H. Lee, "Ergodic theory, infinite products and long time behavior in Hermitian models," Phys. Rev. Lett. 87, 250601 (2001).

U. Balucani, M.H. Lee and V. Tognetti, "Dynamic correlations," Phys. Rep. 373, 409 (2003).

M.H. Lee, "Birkhoff's theorem, many-body response function and the ergodic condition", Phys. Rev. Lett. 98. 110403 (2007).

M.H. Lee, "Why irreversibility is not a sufficient condition for ergodicity," Phys. Rev. Lett. 98, 190601 (2007).