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Journal of Chemical Physics

Volumn 124, Issue 2, 2006, Pages

Thermally activated escape rate for a Brownian particle in a double-well potential for all values of the dissipation

(3) Kalmykov, Yu P a Coffey, W T b Titov, S V c

a UNIVERSITÉ DE PERPIGNAN (France)

b TRINITY COLLEGE DUBLIN (Ireland)

c INST OF RADIO ENG AND ELECTRONICS (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ESCAPE RATE; KRAMERS THEORY; LANGEVIN EQUATION; MESHKOV METHOD;

CORRELATION THEORY; DAMPING; ENERGY DISSIPATION; PARAMETER ESTIMATION; POSITION CONTROL; TEMPERATURE MEASUREMENT;

BROWNIAN MOVEMENT;

EID: 30744445962 PISSN: 00219606 EISSN: None Source Type: Journal
DOI: 10.1063/1.2140281 Document Type: Article

Times cited : (27)

References (75)

1
- 33748374124
- D. Chandler, J. Chem. Phys. 68, 2959 (1978).
- (1978) J. Chem. Phys. , vol.68 , pp. 2959
- Chandler, D.¹

2
- 0005496967
- B. J. Berne, J. L. Skinner, and P. G. Wolynes, J. Chem. Phys. 73, 4314 (1980).
- (1980) J. Chem. Phys. , vol.73 , pp. 4314
- Berne, B.J.¹ Skinner, J.L.² Wolynes, P.G.³

3
- 36749108434
- 0021-9606
- D. L. Hasha, T. Eguchi, and J. Jonas, J. Chem. Phys. 0021-9606 73, 1571 (1981); D. L. Hasha, T. Eguchi, and J. Jonas J. Am. Chem. Soc. 104, 2290 (1982).
- (1981) J. Chem. Phys. , vol.73 , pp. 1571
- Hasha, D.L.¹ Eguchi, T.² Jonas, J.³

4
- 0001631890
- D. L. Hasha, T. Eguchi, and J. Jonas, J. Chem. Phys. 0021-9606 73, 1571 (1981); D. L. Hasha, T. Eguchi, and J. Jonas J. Am. Chem. Soc. 104, 2290 (1982).
- (1982) J. Am. Chem. Soc. , vol.104 , pp. 2290
- Hasha, D.L.¹ Eguchi, T.² Jonas, J.³

5
- 0005511502
- D. K. Garrity and J. L. Skinner, Chem. Phys. Lett. 95, 46 (1983).
- (1983) Chem. Phys. Lett. , vol.95 , pp. 46
- Garrity, D.K.¹ Skinner, J.L.²

6
- 3843075520
- B. Carmeli and A. Nitzan, J. Chem. Phys. 80, 3596 (1984).
- (1984) J. Chem. Phys. , vol.80 , pp. 3596
- Carmeli, B.¹ Nitzan, A.²

7
- 34547275473
- H. A. Kramers, Physica (Utrecht) 7, 284 (1940).
- (1940) Physica (Utrecht) , vol.7 , pp. 284
- Kramers, H.A.¹

8
- 0002880289
- 0031-8914 10.1016/S0031-8914(56)80006-2
- H. C. Brinkman, Physica (Utrecht) 0031-8914 10.1016/S0031-8914(56) 80006-2 22, 29 (1956); H. C. Brinkman, Physica (Utrecht) 22, 149 (1956).
- (1956) Physica (Utrecht) , vol.22 , pp. 29
- Brinkman, H.C.¹

9
- 0011504046
- H. C. Brinkman, Physica (Utrecht) 0031-8914 10.1016/S0031-8914(56) 80006-2 22, 29 (1956); H. C. Brinkman, Physica (Utrecht) 22, 149 (1956).
- (1956) Physica (Utrecht) , vol.22 , pp. 149
- Brinkman, H.C.¹

10
- 0002975379
- C. Blomberg, Physica A 86, 49 (1977).
- (1977) Physica A , vol.86 , pp. 49
- Blomberg, C.¹

11
- 29644444828
- P. B. Visscher, Phys. Rev. B 14, 347 (1976).
- (1976) Phys. Rev. B , vol.14 , pp. 347
- Visscher, P.B.¹

12
- 0001540218
- 0021-9606 10.1063/1.436814
- J. L. Skinner and P. G. Wolynes, J. Chem. Phys. 0021-9606 10.1063/1.436814 69, 2143 (1978); J. L. Skinner and P. G. Wolynes, J. Chem. Phys. 72, 4913 (1980).
- (1978) J. Chem. Phys. , vol.69 , pp. 2143
- Skinner, J.L.¹ Wolynes, P.G.²

13
- 0000749193
- J. L. Skinner and P. G. Wolynes, J. Chem. Phys. 0021-9606 10.1063/1.436814 69, 2143 (1978); J. L. Skinner and P. G. Wolynes, J. Chem. Phys. 72, 4913 (1980).
- (1980) J. Chem. Phys. , vol.72 , pp. 4913
- Skinner, J.L.¹ Wolynes, P.G.²

14
- 36749115868
- R. S. Larson and M. D. Kostin, J. Chem. Phys. 69, 4821 (1978).
- (1978) J. Chem. Phys. , vol.69 , pp. 4821
- Larson, R.S.¹ Kostin, M.D.²

15
- 0005550880
- 0021-9606 10.1063/1.436578
- S. C. Northrup and J. T. Hynes, J. Chem. Phys. 0021-9606 10.1063/1. 436578 69, 5246 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.436579 69, 5261 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.440484 73, 2700 (1980); R. F. Grote and J. T. Hynes, J. Chem. Phys. 73, 2715 (1980).
- (1978) J. Chem. Phys. , vol.69 , pp. 5246
- Northrup, S.C.¹ Hynes, J.T.²

16
- 0038613219
- 0021-9606 10.1063/1.436579
- S. C. Northrup and J. T. Hynes, J. Chem. Phys. 0021-9606 10.1063/1. 436578 69, 5246 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.436579 69, 5261 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.440484 73, 2700 (1980); R. F. Grote and J. T. Hynes, J. Chem. Phys. 73, 2715 (1980).
- (1978) J. Chem. Phys. , vol.69 , pp. 5261
- Northrup, S.C.¹ Hynes, J.T.²

17
- 34247110703
- 0021-9606 10.1063/1.440484
- S. C. Northrup and J. T. Hynes, J. Chem. Phys. 0021-9606 10.1063/1. 436578 69, 5246 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.436579 69, 5261 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.440484 73, 2700 (1980); R. F. Grote and J. T. Hynes, J. Chem. Phys. 73, 2715 (1980).
- (1980) J. Chem. Phys. , vol.73 , pp. 2700
- Northrup, S.C.¹ Hynes, J.T.²

18
- 51149217934
- S. C. Northrup and J. T. Hynes, J. Chem. Phys. 0021-9606 10.1063/1. 436578 69, 5246 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.436579 69, 5261 (1978); S. C. Northrup and J. T. Hynes J. Chem. Phys. 0021-9606 10.1063/1.440484 73, 2700 (1980); R. F. Grote and J. T. Hynes, J. Chem. Phys. 73, 2715 (1980).
- (1980) J. Chem. Phys. , vol.73 , pp. 2715
- Grote, R.F.¹ Hynes, J.T.²

19
- 36749120479
- M. Mangel, J. Chem. Phys. 72, 6606 (1980).
- (1980) J. Chem. Phys. , vol.72 , pp. 6606
- Mangel, M.¹

20
- 0001069331
- K. Schulten, Z. Schulten, and A. Szabo, J. Chem. Phys. 74, 4426 (1981).
- (1981) J. Chem. Phys. , vol.74 , pp. 4426
- Schulten, K.¹ Schulten, Z.² Szabo, A.³

21
- 0008491495
- M. Bixon and R. Zwanzig, J. Stat. Phys. 3, 245 (1971).
- (1971) J. Stat. Phys. , vol.3 , pp. 245
- Bixon, M.¹ Zwanzig, R.²

22
- 0012033222
- M. I. Dykman, S. M. Soskin, and M. A. Krivoglaz, Physica A 133, 53 (1985).
- (1985) Physica A , vol.133 , pp. 53
- Dykman, M.I.¹ Soskin, S.M.² Krivoglaz, M.A.³

23
- 85001773277
- P. Hänggi, Phys. Lett. A 78, 304 (1980).
- (1980) Phys. Lett. A , vol.78 , pp. 304
- Hänggi, P.¹

24
- 0001212188
- J. A. Krumhansl and J. R. Schriefier, Phys. Rev. B 11, 3535 (1975).
- (1975) Phys. Rev. B , vol.11 , pp. 3535
- Krumhansl, J.A.¹ Schriefier, J.R.²

25
- 4043164644
- J.-D. Bao and Y.-Z. Zhuo, Phys. Rev. C 67, 064606 (2003).
- (2003) Phys. Rev. C , vol.67 , pp. 064606
- Bao, J.-D.¹ Zhuo, Y.-Z.²

26
- 14344276767
- V. M. Kolomietz, S. V. Radionov, and S. Shlomo, Phys. Rev. C 64, 054302 (2001).
- (2001) Phys. Rev. C , vol.64 , pp. 054302
- Kolomietz, V.M.¹ Radionov, S.V.² Shlomo, S.³

27
- 0009980949
- R. S. Larson and M. D. Kostin, J. Chem. Phys. 72, 1392 (1980).
- (1980) J. Chem. Phys. , vol.72 , pp. 1392
- Larson, R.S.¹ Kostin, M.D.²

28
- 0004070551
- Wiley, New York
- W. T. Coffey, M. W. Evans, and P. Grigolini, Molecular Diffusion and Spectra (Wiley, New York, 1984).
- (1984) Molecular Diffusion and Spectra
- Coffey, W.T.¹ Evans, M.W.² Grigolini, P.³

29
- 5844364694
- C. Blomberg, Physica A 86, 67 (1977).
- (1977) Physica A , vol.86 , pp. 67
- Blomberg, C.¹

30
- 0039065101
- L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
- (1998) Rev. Mod. Phys. , vol.70 , pp. 223
- Gammaitoni, L.¹ Hänggi, P.² Jung, P.³ Marchesoni, F.⁴

31
- 0347193736
- P. Hänggi, P. Talkner, and M. Borcovec, Rev. Mod. Phys. 62, 251 (1990).
- (1990) Rev. Mod. Phys. , vol.62 , pp. 251
- Hänggi, P.¹ Talkner, P.² Borcovec, M.³

32
- 0042035940
- M. I. Dykman, G. P. Golubev, D. G. Luchinsky, P. V. E. McClintock, N. D. Stein, and N. G. Stocks, Phys. Rev. E 49, 1935 (1994).
- (1994) Phys. Rev. e , vol.49 , pp. 1935
- Dykman, M.I.¹ Golubev, G.P.² Luchinsky, D.G.³ McClintock, P.V.E.⁴ Stein, N.D.⁵ Stocks, N.G.⁶

33
- 0004217794
- 2nd ed. (World Scientific, Singapore
- W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, The Langevin Equation, 2nd ed. (World Scientific, Singapore, 2004).
- (2004) The Langevin Equation
- Coffey, W.T.¹ Kalmykov, Yu.P.² Waldron, J.T.³

34
- 0004140926
- second ed. (Springer, Berlin
- H. Risken, The Fokker-Planck Equation, second ed. (Springer, Berlin, 1984).
- (1984) The Fokker-Planck Equation
- Risken, H.¹

35
- 2942587480
- W. T. Coffey, D. A. Garanin, and D. J. McCarthy, Adv. Chem. Phys. 117, 528 (2001).
- (2001) Adv. Chem. Phys. , vol.117 , pp. 528
- Coffey, W.T.¹ Garanin, D.A.² McCarthy, D.J.³

36
- 0013295649
- 0378-4371 10.1016/0378-4371(85)90049-4
- V. I. Mel'nikov, Physica A 0378-4371 10.1016/0378-4371(85)90049-4 130, 606 (1985); V. I. Mel'nikov Phys. Rep. 209, 1 (1991).
- (1985) Physica A , vol.130 , pp. 606
- Mel'Nikov, V.I.¹

37
- 0002652153
- V. I. Mel'nikov, Physica A 0378-4371 10.1016/0378-4371(85)90049-4 130, 606 (1985); V. I. Mel'nikov Phys. Rep. 209, 1 (1991).
- (1991) Phys. Rep. , vol.209 , pp. 1
- Mel'Nikov, V.I.¹

38
- 36549101835
- V. I. Mel'nikov and S. V. Meshkov, J. Chem. Phys. 85, 1018 (1986).
- (1986) J. Chem. Phys. , vol.85 , pp. 1018
- Mel'Nikov, V.I.¹ Meshkov, S.V.²

39
- 0037599006
- H. Grabert, Phys. Rev. Lett. 61, 1683 (1988).
- (1988) Phys. Rev. Lett. , vol.61 , pp. 1683
- Grabert, H.¹

40
- 36549091053
- E. Pollak, H. Grabert, and P. Hänggi, J. Chem. Phys. 91, 4073 (1989).
- (1989) J. Chem. Phys. , vol.91 , pp. 4073
- Pollak, E.¹ Grabert, H.² Hänggi, P.³

41
- 0007107256
- I. Rips and E. Pollak, Phys. Rev. A 41, 5366 (1990).
- (1990) Phys. Rev. A , vol.41 , pp. 5366
- Rips, I.¹ Pollak, E.²

42
- 36449000988
- M. Topaler and N. Makri, J. Chem. Phys. 101, 7500 (1994).
- (1994) J. Chem. Phys. , vol.101 , pp. 7500
- Topaler, M.¹ Makri, N.²

43
- 0000866938
- A. N. Drozdov and P. Talkner, J. Chem. Phys. 109, 2080 (1998).
- (1998) J. Chem. Phys. , vol.109 , pp. 2080
- Drozdov, A.N.¹ Talkner, P.²

44
- 0000331498
- R. Ferrando, R. Spadacini, and G. E. Tommei, Phys. Rev. A 46, R699 (1992).
- (1992) Phys. Rev. A , vol.46 , pp. 699
- Ferrando, R.¹ Spadacini, R.² Tommei, G.E.³

45
- 25344467567
- R. Ferrando, R. Spadacini, and G. E. Tommei, Phys. Rev. E 48, 2437 (1993).
- (1993) Phys. Rev. e , vol.48 , pp. 2437
- Ferrando, R.¹ Spadacini, R.² Tommei, G.E.³

46
- 0001087750
- E. Pollak, J. Bader, B. J. Berne, and P. Talkner, Phys. Rev. Lett. 70, 3299 (1993).
- (1993) Phys. Rev. Lett. , vol.70 , pp. 3299
- Pollak, E.¹ Bader, J.² Berne, B.J.³ Talkner, P.⁴

47
- 0001241145
- Yu. Georgievskii and E. Pollak, Phys. Rev. E 49, 5098 (1994).
- (1994) Phys. Rev. e , vol.49 , pp. 5098
- Georgievskii, Yu.¹ Pollak, E.²

48
- 0033521802
- E. Hershkovitz, P. Talkner, E. Pollak, and Yu. Georgievskii, Surf. Sci. 421, 73 (1999).
- (1999) Surf. Sci. , vol.421 , pp. 73
- Hershkovitz, E.¹ Talkner, P.² Pollak, E.³ Georgievskii, Yu.⁴

49
- 2942613276
- R. W. Pastor and A. Szabo, J. Chem. Phys. 97, 5098 (1992).
- (1992) J. Chem. Phys. , vol.97 , pp. 5098
- Pastor, R.W.¹ Szabo, A.²

50
- 2942560571
- 0021-9606 10.1063/1.1703525
- W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov, J. Chem. Phys. 0021-9606 10.1063/1.1703525 120, 9199 (2004); Yu. P. Kalmykov, S. V. Titov, and W. T. Coffey, J. Chem. Phys. 123, 094503 (2005).
- (2004) J. Chem. Phys. , vol.120 , pp. 9199
- Coffey, W.T.¹ Kalmykov, Yu.P.² Titov, S.V.³

51
- 24944481124
- W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov, J. Chem. Phys. 0021-9606 10.1063/1.1703525 120, 9199 (2004); Yu. P. Kalmykov, S. V. Titov, and W. T. Coffey, J. Chem. Phys. 123, 094503 (2005).
- (2005) J. Chem. Phys. , vol.123 , pp. 094503
- Kalmykov, Yu.P.¹ Titov, S.V.² Coffey, W.T.³

52
- 15844394243
- P. M. D́jardin, D. S. F. Crothers, W. T. Coffey, and D. J. McCarthy, Phys. Rev. E 63, 021102 (2001).
- (2001) Phys. Rev. e , vol.63 , pp. 021102
- D́jardin, P.M.¹ Crothers, D.S.F.² Coffey, W.T.³ McCarthy, D.J.⁴

53
- 3242702560
- Yu. P. Kalmykov, J. Appl. Phys. 96, 1138 (2004).
- (2004) J. Appl. Phys. , vol.96 , pp. 1138
- Kalmykov, Yu.P.¹

54
- 16844385171
- 0367-3294
- Yu. P. Kalmykov, W. T. Coffey, and S. V. Titov, Fiz. Tverd. Tela (S.-Peterburg) 0367-3294 47, 260 (2005) Yu. P. Kalmykov, W. T. Coffey, and S. V. Titov [Phys. Solid State, 47, 272 (2005)].
- (2005) Fiz. Tverd. Tela (S.-Peterburg) , vol.47 , pp. 260
- Kalmykov, Yu.P.¹ Coffey, W.T.² Titov, S.V.³

55
- 16844385171
- Yu. P. Kalmykov, W. T. Coffey, and S. V. Titov, Fiz. Tverd. Tela (S.-Peterburg) 0367-3294 47, 260 (2005) Yu. P. Kalmykov, W. T. Coffey, and S. V. Titov [Phys. Solid State, 47, 272 (2005)].
- (2005) Phys. Solid State , vol.47 , pp. 272
- Kalmykov, Yu.P.¹ Coffey, W.T.² Titov, S.V.³

56
- 15844377790
- Y. P. Kalmykov, W. T. Coffey, B. Ouari, and S. V. Titov, J. Magn. Magn. Mater. 292, 372 (2005).
- (2005) J. Magn. Magn. Mater. , vol.292 , pp. 372
- Kalmykov, Y.P.¹ Coffey, W.T.² Ouari, B.³ Titov, S.V.⁴

57
- 0001004948
- A. Schenzel and H. Brand, Phys. Rev. A 20, 1628 (1979).
- (1979) Phys. Rev. A , vol.20 , pp. 1628
- Schenzel, A.¹ Brand, H.²

58
- 21144460319
- I. I. Fedchenia, J. Phys. A 25, 6733 (1992).
- (1992) J. Phys. A , vol.25 , pp. 6733
- Fedchenia, I.I.¹

59
- 0011883745
- Yu. P. Kalmykov, W. T. Coffey, and J. T. Waldron, J. Chem. Phys. 105, 2112 (1996).
- (1996) J. Chem. Phys. , vol.105 , pp. 2112
- Kalmykov, Yu.P.¹ Coffey, W.T.² Waldron, J.T.³

60
- 36449006073
- A. Perico, R. Pratolongo, K. F. Freed, R. W. Pastor, and A. Szabo, J. Chem. Phys. 98, 564 (1993).
- (1993) J. Chem. Phys. , vol.98 , pp. 564
- Perico, A.¹ Pratolongo, R.² Freed, K.F.³ Pastor, R.W.⁴ Szabo, A.⁵

61
- 0020167830
- B. J. Matkowsky, Z. Schuss, and E. Ben-Jacob, J. Appl. Math. 42, 835 (1982).
- (1982) J. Appl. Math. , vol.42 , pp. 835
- Matkowsky, B.J.¹ Schuss, Z.² Ben-Jacob, E.³

62
- 11744269624
- C. W. Gardiner, J. Stat. Phys. 30, 157 (1983).
- (1983) J. Stat. Phys. , vol.30 , pp. 157
- Gardiner, C.W.¹

63
- 4243782839
- H. X. Zhou, Chem. Phys. Lett. 164, 285 (1989).
- (1989) Chem. Phys. Lett. , vol.164 , pp. 285
- Zhou, H.X.¹

64
- 0001303369
- Y. Onodera, Prog. Theor. Phys. 44, 1477 (1970).
- (1970) Prog. Theor. Phys. , vol.44 , pp. 1477
- Onodera, Y.¹

65
- 18644372423
- K. Voigtlaender and H. Risken, J. Stat. Phys. 41, 825 (1985).
- (1985) J. Stat. Phys. , vol.41 , pp. 825
- Voigtlaender, K.¹ Risken, H.²

66
- 0001758176
- M. I. Dykman, R. Mannella, P. V. E. McClintock, F. Moss, and S. M. Soskin, Phys. Rev. A 37, 1303 (1988).
- (1988) Phys. Rev. A , vol.37 , pp. 1303
- Dykman, M.I.¹ Mannella, R.² McClintock, P.V.E.³ Moss, F.⁴ Soskin, S.M.⁵

67
- 0001566812
- J. B. Morton and S. Corrsin, J. Stat. Phys. 2, 153 (1970).
- (1970) J. Stat. Phys. , vol.2 , pp. 153
- Morton, J.B.¹ Corrsin, S.²

68
- 30744450513
- K. Matsuo, J. Stat. Phys. 18, 535 (1978).
- (1978) J. Stat. Phys. , vol.18 , pp. 535
- Matsuo, K.¹

69
- 0000688649
- 0022-4715 10.1007/BF01017181
- K. Voigtlaender and H. Risken, J. Stat. Phys. 0022-4715 10.1007/BF01017181 40, 397 (1985); K. Voigtlaender and H. Risken Chem. Phys. Lett. 105, 506 (1984).
- (1985) J. Stat. Phys. , vol.40 , pp. 397
- Voigtlaender, K.¹ Risken, H.²

70
- 0001453289
- K. Voigtlaender and H. Risken, J. Stat. Phys. 0022-4715 10.1007/BF01017181 40, 397 (1985); K. Voigtlaender and H. Risken Chem. Phys. Lett. 105, 506 (1984).
- (1984) Chem. Phys. Lett. , vol.105 , pp. 506
- Voigtlaender, K.¹ Risken, H.²

71
- 0004245694
- edited by M.Abramowitz and I.Stegun (Dover, New York
- Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. Stegun, (Dover, New York, 1964).
- (1964) Handbook of Mathematical Functions

72
- 36749104672
- A. Szabo, J. Chem. Phys. 72, 4620 (1980).
- (1980) J. Chem. Phys. , vol.72 , pp. 4620
- Szabo, A.¹

73
- 0006992276
- E. Praestgaard and N. G. van Kampen, Mol. Phys. 43, 33 (1981).
- (1981) Mol. Phys. , vol.43 , pp. 33
- Praestgaard, E.¹ Van Kampen, N.G.²

74
- 0003957510
- fourth ed. (Cambridge University Press, Cambridge, England
- E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, fourth ed. (Cambridge University Press, Cambridge, England, 1927).
- (1927) A Course of Modern Analysis
- Whittaker, E.T.¹ Watson, G.N.²

75
- 12144290459
- S. V. Titov, P. M. D́jardin, and Yu. P. Kalmykov, J. Chem. Phys. 120, 4852 (2004).
- (2004) J. Chem. Phys. , vol.120 , pp. 4852
- Titov, S.V.¹ D́jardin, P.M.² Kalmykov, Yu.P.³

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