Abstract
Polarization response including ergodicity breaking and the divergence of relaxation time is reproduced for model Hamiltonians of growing complexity. Systematic derivation of the dynamical equations and its solutions is based on the Fokker-Planck and imaginary time Schrödinger equation techniques with subsequent symplectic integration. Test solutions are addressed to finite size and spatially extended problems with microscopically interpretation of the model parameters as a challenge.
Publisher
Trans Tech Publications, Ltd.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science
Reference13 articles.
1. B. Caroli, C. Caroli, and B. Roulet, Journ. Stat. Phys., 21, (1979) 415-437.
2. M. Suzuki, Proc. Japan Acad., 69, Ser. B (1993), pp.161-166.
3. N. Watanabe and M. Tsukada, Phys. Rev. E 62, 2914-2923 (2000).
4. M. Shiino, Phys. Rev. A, Vol 36, pp.2393-2410 (1987).
5. E. Klotins, cond-mat/0508182.