Thermostats: Analysis and application

Chaos

Volumn 8, Issue 2, 1998, Pages 321-336

  Morriss, Gary P ^a   Dettmann, Carl P ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000026833     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166314     Document Type: Article

References (53)

1. D. J. Evans and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic, London, 1990).
2. W. G. Hoover, "Molecular dynamics," Lect. Notes Phys. 258, 1 (1986).
3. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, England, 1998).
4. D. J. Evans and G. P. Morriss, Comput. Phys. Rep. 1, 297 (1984).
5. H. H. Rugh, Phys. Rev. Lett. 78, 772 (1997).
6. W. G. Hoover, A. J. C. Ladd, and B. Moran, Phys. Rev. Lett. 48, 1818 (1982).
7. D. J. Evans, J. Chem. Phys. 78, 3297 (1983).
8. D. J. Evans, W. G. Hoover, B. H. Failor, B. Moran, and A. J. C. Ladd, Phys. Rev. A 8, 1016 (1983).
9. L. A. Pars, A Treatise on Analytical Dynamics (Heinemann, London, 1968).
10. P. Choquard, Chaos (this issue).
11. H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, MA, 1980).
12. K. F. Gauss, J. Reine Angew. Math. IV, 232 (1829).
13. D. J. Evans and G. P. Morriss, Chem. Phys. 77, 63 (1983).
14. D. J. Evans and G. P. Morriss, Phys. Lett. 98A, 433 (1983).
15. S. Nosé, J. Chem. Phys. 81, 511 (1984); Mol. Phys. 52, 255 (1984); Prog. Theor. Phys. Suppl. 103, 1 (1991).
16. S. Nosé, J. Chem. Phys. 81, 511 (1984); Mol. Phys. 52, 255 (1984); Prog. Theor. Phys. Suppl. 103, 1 (1991).
17. S. Nosé, J. Chem. Phys. 81, 511 (1984); Mol. Phys. 52, 255 (1984); Prog. Theor. Phys. Suppl. 103, 1 (1991).
18. W. G. Hoover, Phys. Rev. A 31, 1695 (1985).
19. G. P. Morriss, Phys. Rev. A 37, 2118 (1988).
20. G. P. Morriss, Phys. Lett. A 143, 307 (1989).
21. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Phys. Rev. A 42, 5990 (1990).
22. C. P. Dettmann and G. P. Morriss, Phys. Rev. E 53, R5545 (1996).
23. R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd ed. (Benjamin/Cummins, Reading, MA, 1978).
24. K. R. Meyer and G. R. Hall, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Springer-Verlag, New York, 1992).
25. D. J. Searles, D. J. Evans, and D. J. Isbister, Chaos 8, 337 (1998).
26. C. P. Dettmann and G. P. Morriss, Phys. Rev. E 55, 3693 (1997).
27. C. P. Dettmann and G. P. Morriss, Phys. Rev. E 54, 2495 (1996).
28. T. Yamada and K. Kawasaki, Prog. Theor. Phys. 38, 1031 (1967).
29. M. Szydowski and M. Biesiada, Phys. Rev. D 44, 2369 (1991).
30. H. A. Lorentz, Proc. Amst. Acad. 7, 438 (1905).
31. P. Cvitanovic, P. Gaspard, and T. Schreiber, Chaos 2, 85 (1992).
32. W. Parry, Commun. Math. Phys. 106, 267 (1986); J. H. Hannay and A. M. Ozorio de Almeida, J. Phys. A 17, 3429 (1984); R. Artuso, E. Aurell, and P. Cvitanovic, Nonlinearity 3, 325 (1990); W. N. Vance, Phys. Rev. Lett. 69, 1356 (1992); P. Cvitanovic et al., Classical and Quantum Chaos: A Cyclist Treatise, available on http://www.nbi.dk/~predrag/QCcourse/
33. W. Parry, Commun. Math. Phys. 106, 267 (1986); J. H. Hannay and A. M. Ozorio de Almeida, J. Phys. A 17, 3429 (1984); R. Artuso, E. Aurell, and P. Cvitanovic, Nonlinearity 3, 325 (1990); W. N. Vance, Phys. Rev. Lett. 69, 1356 (1992); P. Cvitanovic et al., Classical and Quantum Chaos: A Cyclist Treatise, available on http://www.nbi.dk/∼predrag/QCcourse/
34. W. Parry, Commun. Math. Phys. 106, 267 (1986); J. H. Hannay and A. M. Ozorio de Almeida, J. Phys. A 17, 3429 (1984); R. Artuso, E. Aurell, and P. Cvitanovic, Nonlinearity 3, 325 (1990); W. N. Vance, Phys. Rev. Lett. 69, 1356 (1992); P. Cvitanovic et al., Classical and Quantum Chaos: A Cyclist Treatise, available on http://www.nbi.dk/∼predrag/QCcourse/
35. W. Parry, Commun. Math. Phys. 106, 267 (1986); J. H. Hannay and A. M. Ozorio de Almeida, J. Phys. A 17, 3429 (1984); R. Artuso, E. Aurell, and P. Cvitanovic, Nonlinearity 3, 325 (1990); W. N. Vance, Phys. Rev. Lett. 69, 1356 (1992); P. Cvitanovic et al., Classical and Quantum Chaos: A Cyclist Treatise, available on http://www.nbi.dk/∼predrag/QCcourse/
36. W. Parry, Commun. Math. Phys. 106, 267 (1986); J. H. Hannay and A. M. Ozorio de Almeida, J. Phys. A 17, 3429 (1984); R. Artuso, E. Aurell, and P. Cvitanovic, Nonlinearity 3, 325 (1990); W. N. Vance, Phys. Rev. Lett. 69, 1356 (1992); P. Cvitanovic et al., Classical and Quantum Chaos: A Cyclist Treatise, available on http://www.nbi.dk/∼predrag/QCcourse/
37. L. Rondoni and S. Stoecker, Chaos 8, 374 (1998).
38. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. A 37, 1711 (1988).
39. G. P. Morriss and L. Rondoni, J. Stat. Phys. 75, 553 (1994); J. Lloyd, M. Niemeyer, L. Rondoni, and G. P. Morriss, Chaos 5, 536 (1995).
40. G. P. Morriss and L. Rondoni, J. Stat. Phys. 75, 553 (1994); J. Lloyd, M. Niemeyer, L. Rondoni, and G. P. Morriss, Chaos 5, 536 (1995).
41. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978).
42. C. P. Dettmann and G. P. Morriss, Phys. Rev. E 54, 4782 (1996).
43. C. P. Dettmann, G. P. Morriss, and L. Rondoni, Chaos Solitons Fractals 8, 783 (1997).
44. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
45. J. P. Lloyd, L. Rondoni, and G. P. Morriss, Phys. Rev. E 50, 3416 (1994).
46. G. P. Morriss, L. Rondoni, and E. G. D. Cohen, J. Stat. Phys. 80, 35 (1995).
47. N. Chernov, J. Stat. Phys. 88, 1 (1997).
48. L. Rondoni and G. P. Morriss, J. Stat. Phys. 86, 991 (1997).
49. D. Ruelle, J. Stat. Phys. 85, 1 (1996).
50. G. P. Morriss, Phys. Lett. A 122, 236 (1987); Phys. Rev. A 39, 4811 (1989).
51. G. P. Morriss, Phys. Lett. A 122, 236 (1987); Phys. Rev. A 39, 4811 (1989).
52. P. Gaspard and G. Nicolis, Phys. Rev. Lett. 65, 1693 (1990).
53. C. P. Dettmann and G. P. Morriss, Phys. Rev. Lett. 78, 4201 (1997).