Irreversibility of classical fluctuations studied in analogue electrical circuits

Nature

Volumn 389, Issue 6650, 1997, Pages 463-466

  Luchinsky, D G ^a,b   McClintock, P V E ^a  

^a LANCASTER UNIVERSITY   (United Kingdom)

^b CENTER FOR GRAVITATION AND FUNDAMENTAL METROLOGY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMICAL REACTION; DEVICE; DNA SEQUENCE; ELECTRIC CONDUCTIVITY; PRIORITY JOURNAL; PROTEIN TRANSPORT; THERMODYNAMICS;

EID: 0030759918     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/38963     Document Type: Article

References (32)

1. Einstein, A. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten Suspendierten Teilchen. Ann. Phys. 17, 549-560 (1905); also transl. in Investigations on the Theory of the Brownian Movement (ed. Fürth, R.) (Dover, New York, 1956).
2. Einstein, A. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten Suspendierten Teilchen. Ann. Phys. 17, 549-560 (1905); also transl. in Investigations on the Theory of the Brownian Movement (ed. Fürth, R.) (Dover, New York, 1956).
3. Onsager, L. Reciprocal relations in irreversible processes. I. Phys. Rev. 37, 405-426 (1931).
4. Landau, L. D. & Lifshitz, E. M. Statistical Physics Part 1, 3rd edn (Pergamon, New York, 1980).
5. Schulman,L. S. Models for intermediate time dynamics with two-time boundary conditions. Physica A 117, 373-380 (1991).
6. Bricmont, I. Science of chaos or chaos in science? Ann. NY Acad. Sci. 775, 131-175 (1996).
7. Cohen, J. K. & Lewis, R. M. A ray method for the asymptotic solution of the diffusion equation. J. Intst. Math. Appl. 3, 266-290 (1967).
8. Freidlin, M. I. & Wentzell, A. D. Random Pertubations in Dynamical Systems (Springer, New York, 1984).
9. Feynman, R. P. & Hibbs, A. R. Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
10. Dykman, M. I. & Krivoglaz, M. A. in Soviet Physics Reviews Vol. 5 (ed. Khalatnikov, I. M.) 265-441 (Harwood, New York, 1984).
11. Bray, A. J. & McKane, A. J. Instanton calculation of the escape rate for activation over a potential barrier driven by colored noise, Phys. Rev. Lett. 62, 493-496 (1989).
12. Dykman, M. I., McLintock, P. V. E., Smelyanskiy, V. N., Stein, N. D. & Stocks, N. G. Optimal paths and the prehistory problem for large fluctuations in noise-driven systems. Phys. Rev. Lett. 68, 2718-2721 (1992).
13. Dykman, M. I., Luchinsky, D. G., McClintock, P. V. E. & Smelyanskiy, V. N. Corrals and critical behaviour of the distribution of optimal paths. Phys, Rev. Lett. 77, 5229-5232 (1996).
14. Kautz, R. L. Noise, chaos, and the Josephson standard. Rep. Prog. Phys. 59, 935-992 (1996).
15. Dykman, M. I. et al. Noise-enhanced optical heterodyning. Appl Phys. Lett. 67, 308-310 (1995).
16. Dykman, M. I., Mori, E., Ross, J. & Hunt, P. M. Large fluctuations and optimal paths in chemical kinetics. J. Chem. Phys. 100, 5737-5750 (1994).
17. Graham, R. & Tel, T Existence of a potential for dissipative dynamical systems. Phys. Rev. Lett. 52, 9-12 (1984).
18. Graham, R. in Noise in Nonlinear Dynamical Systetms Vol. 1 (eds Moss, F. & McClintock, P. V. E.) 225-278 (Cambridge Univ. Press, 1989).
19. Dykman, M. I., Millonas, M. M. & Smelyanskiy, V. N. Observable and hidden features of large fluctuations in nonequilibrium systems. Phys. Lett. A 195, 53-58 (1994).
20. Maier, R. S. & Stein, D. L. A scaling theory of bifurcations in the symmetrical weak-noise escape problem. J. Statist. Phys. 83, 291-357 (1996).
21. Dykman, M. I. Large fluctuations and fluctuational transitions in systems driven by colored Gaussian noise - a high-frequency noise. Phys. Rev. A 42, 2020-2029 (1990).
22. Einchcomb, S. J. B. & McKane, A. J. Use of Hamiltonian mechanics in systems driven by colored noise. Phys. Rev. E51, 2974-2981 (1995).
23. Van Kampen, N. G. Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam, 1990).
24. Berry, M. V. Waves and Thom's theorem. Adv. Phys. 25, 1-26 (1976).
25. Jauslin, H. R. Nondifferemiable potentials for nonequilibrium steady states. Physica A 144, 179-191 (1987).
26. Day, M. V. Recent progress on the small parameter exit problem. Schochastics 20, 121-150 (1987).
27. Maier, R. S. & Stein, DS. L. Escape problem for irreversible systems. Phys. Rev. E48, 931-938 (1993).
28. Risken, H. The Fokker-Planck Equation 2nd edn (Springer, Berlin, 1989).
29. McClintock, P. V. E. & Moss, F. in Noise in Nonlinear Dynamical Systems Vol. 3 (eds Moss, F. & McClintock, P. V. E.) 243-274 (Cambridge Univ. Press, 1989).
30. Haken, H. Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems. Rev. Mod. Phys. 47, 67-119 (1975).
31. Onsager, L. & Machlup, S. Fluctuations and irreversible processes. Phys. Rev. 91, 1505-1512 (1953).
32. Zwanzig, R. Nonlinear generalised Langevin equations. J. Statist. Phys. 9, 215-220 (1973).