Hamiltonian statistical mechanics

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 50, 2008, Pages

  Brody, Dorje C ^a   Ellis, David C P ^a   Holm, Darryl D ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64549151312     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/50/502002     Document Type: Article

References (14)

1. Mezard M, Parisi G and Virasoro M 1987 Spin Glass Theory and Beyond (Singapore: World Scientific)
2. Fischer K H and Hertz J A 1991 Spin Glasses (Cambridge: Cambridge University Press)
3. Brody T A, Flores J, French J B, Mello P A, Pandey A and Wong S S M 1981 Random-matrix physics: spectrum and strength fluctuations Rev. Mod. Phys. 53 385-479
4. Landau L D and Lifshitz E M 1935 On the theory of the dispersion of magnetic permeability in ferromagnetic bodies Phys. Z. Sowietunion 8 153-69
5. Brockett R W 1991 Dynamical systems that sort lists, diagonalise matrices, and solve linear programming problems Linear Algebr. Appl. 146 79-91
6. Bloch A M, Brockett R W and Ratiu T S 1992 Completely integrable gradient flows Commun. Math. Phys. 147 57-74
7. Bloch A M, Krishnaprasad P S, Marsden J E and Ratiu T S 1996 The Euler-poincaré equations and double bracket dissipation Commun. Math. Phys. 175 1-42
8. Anderson D Z, Brockett R W and Nuttall N 1999 Information dynamics of photorefractive two-beam coupling Phys. Rev. Lett. 82 1418-21
9. Wegner F 2006 Flow equations and normal ordering: a survey J. Phys. A: Math. Gen. 39 8221-30
10. Schulte-Herbrüggen T, Glaser S J, Dirr G and Helmke U 2008 Gradient flows for optimisation and quantum control: foundations and applications arXiv:0802.4195
11. Brody D C and Hughston L P 1999 Thermalisation of quantum states J. Math. Phys. 40 12-8
12. Hughston L P 1996 Geometry of stochastic state vector reduction Proc. R. Soc. Lond. A 452 953-79
13. Zeeman E C 1988 Stability of dynamical systems Nonlinearity 1 115-55
14. Brockett R W 1997 Notes on stochastic processes on manifolds Systems and Control in the Twenty-First Century ed C Byrnes et al (Boston: Birkhäuser) pp 75-101