메뉴 건너뛰기




Volumn 5114, Issue , 2003, Pages 67-78

The effects of weak spatiotemporal noise on a bistable one-dimensional system

Author keywords

Activation barrier; Kramers prefactor; Kramers theory; Nonzero spatial extent; Rate prefactor; Spatially extended system; Spatiotemporal noise; Transition rate theory; Weak noise

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; COMPUTATIONAL COMPLEXITY; FINITE VOLUME METHOD; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RANDOM PROCESSES;

EID: 0042825457     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.497641     Document Type: Conference Paper
Times cited : (17)

References (29)
  • 1
    • 0042993817 scopus 로고
    • F. Moss and P. V. E. McClintock, eds.; Cambridge University Press, Cambridge, UK
    • F. Moss and P. V. E. McClintock, eds., Theory of Continuous Fokker-Planck Systems, Cambridge University Press, Cambridge, UK, 1989.
    • (1989) Theory of Continuous Fokker-Planck Systems
  • 2
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • M. C. Cross and P. C. Hohenberg, "Pattern formation outside of equilibrium," Rev. Mod. Phys. 65, pp. 851-1112, 1993.
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 3
    • 0001398475 scopus 로고    scopus 로고
    • Thermal fluctuations, subcritical bifurcation, and nucleation of localized states in electro-convenction
    • U. Bisang and G. Ahlers, "Thermal fluctuations, subcritical bifurcation, and nucleation of localized states in electro-convenction," Phys. Rev. Lett. 80, pp. 3061-3064, 1998.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 3061-3064
    • Bisang, U.1    Ahlers, G.2
  • 4
    • 7244243987 scopus 로고
    • Thermally activated magnetization reversal in elongated ferromagnetic particles
    • H.-B. Braun, "Thermally activated magnetization reversal in elongated ferromagnetic particles," Phys. Rev. Lett. 71, pp. 3557-3560, 1993.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3557-3560
    • Braun, H.-B.1
  • 5
    • 0000266496 scopus 로고    scopus 로고
    • Micromagnetic simulation of thermally activated magnetization reversal of nanoscale magnets
    • G. Brown, M. A. Novotny, and P. A. Rikvold, "Micromagnetic simulation of thermally activated magnetization reversal of nanoscale magnets," J. Appl. Phys. 87, pp. 4792-4794, 2000.
    • (2000) J. Appl. Phys. , vol.87 , pp. 4792-4794
    • Brown, G.1    Novotny, M.A.2    Rikvold, P.A.3
  • 7
    • 26144457228 scopus 로고    scopus 로고
    • Thermal instabilities of alkali and noble metal nanowires
    • In preparation
    • J. Buerki, C. Stafford, and D. L. Stein, "Thermal instabilities of alkali and noble metal nanowires." In preparation, 2003.
    • (2003)
    • Buerki, J.1    Stafford, C.2    Stein, D.L.3
  • 8
    • 29444451132 scopus 로고
    • Theory of the condensation point
    • J. Langer, "Theory of the condensation point," Ann. Phys. 41, pp. 108-157, 1969.
    • (1969) Ann. Phys. , vol.41 , pp. 108-157
    • Langer, J.1
  • 9
    • 19644367467 scopus 로고
    • Fate of the false vacuum, II. First quantum corrections
    • C. Callan and S. Coleman, "Fate of the false vacuum, II. First quantum corrections," Phys. Rev. D 16, pp. 1762-1768, 1977.
    • (1977) Phys. Rev. D , vol.16 , pp. 1762-1768
    • Callan, C.1    Coleman, S.2
  • 10
    • 0000754401 scopus 로고
    • Large fluctuations for a nonlinear heat equation with noise
    • W. G. Faris and G. Jona-Lasinio, "Large fluctuations for a nonlinear heat equation with noise," J. Phys. A 15, pp. 3025-3055, 1982.
    • (1982) J. Phys. A , vol.15 , pp. 3025-3055
    • Faris, W.G.1    Jona-Lasinio, G.2
  • 11
    • 0011521079 scopus 로고
    • Small random perturbations of finite and infinite dimensional dynamical systems: Unpredictability of exit times
    • F. Martinelli, E. Oliveiri, and E. Scoppola, "Small random perturbations of finite and infinite dimensional dynamical systems: Unpredictability of exit times," J. Stat. Phys. 55, pp. 477-504, 1989.
    • (1989) J. Stat. Phys. , vol.55 , pp. 477-504
    • Martinelli, F.1    Oliveiri, E.2    Scoppola, E.3
  • 12
    • 0000596096 scopus 로고
    • Regularization of functional determinants using boundary perturbations
    • A. J. McKane and M. B. Tarlie, "Regularization of functional determinants using boundary perturbations," J. Phys. A 28, pp. 6931-6942, 1995.
    • (1995) J. Phys. A , vol.28 , pp. 6931-6942
    • McKane, A.J.1    Tarlie, M.B.2
  • 13
    • 0035981045 scopus 로고    scopus 로고
    • Droplet nucleation and domain wall motion in a bounded interval
    • R. S. Maier and D. L. Stein, "Droplet nucleation and domain wall motion in a bounded interval," Phys. Rev. Lett. 87, pp. 270601-1-270601-4, 2001.
    • (2001) Phys. Rev. Lett. , vol.87
    • Maier, R.S.1    Stein, D.L.2
  • 14
    • 0000771072 scopus 로고
    • Phase transitions in the problem of the decay of a metastable state
    • E. M. Chudnovsky, "Phase transitions in the problem of the decay of a metastable state," Phys. Rev. A 46, pp. 8011-8014, 1992.
    • (1992) Phys. Rev. A , vol.46 , pp. 8011-8014
    • Chudnovsky, E.M.1
  • 15
    • 0039968184 scopus 로고    scopus 로고
    • Periodic instanton bifurcations and thermal transition rate
    • A. N. Kuznetsov and P. G. Tinyakov, "Periodic instanton bifurcations and thermal transition rate," Phys. Lett. B 406, pp. 76-82, 1997.
    • (1997) Phys. Lett. B , vol.406 , pp. 76-82
    • Kuznetsov, A.N.1    Tinyakov, P.G.2
  • 16
    • 0042993814 scopus 로고    scopus 로고
    • Critical behavior of the Kramers escape rate in asymmetric classical field theories
    • D. L. Stein, "Critical behavior of the Kramers escape rate in asymmetric classical field theories." Submitted to J. Stat. Phys, 2003.
    • (2003) J. Stat. Phys
    • Stein, D.L.1
  • 17
    • 0013353783 scopus 로고    scopus 로고
    • Nucleation in ferromagnetic nanowires-magnetostatics and topology
    • H.-B. Braun, "Nucleation in ferromagnetic nanowires-magnetostatics and topology," J. Appl. Phys. 85, pp. 6172-6174, 1999.
    • (1999) J. Appl. Phys. , vol.85 , pp. 6172-6174
    • Braun, H.-B.1
  • 20
    • 0004245694 scopus 로고
    • M. Abramowitz and I. A. Stegun, eds.; Dover, New York
    • M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, Dover, New York, 1965.
    • (1965) Handbook of Mathematical Functions
  • 22
    • 26144470735 scopus 로고    scopus 로고
    • Theory of the condensation point in systems of finite extent
    • In preparation
    • R. S. Maier and D. L. Stein, "Theory of the condensation point in systems of finite extent." In preparation, 2003.
    • (2003)
    • Maier, R.S.1    Stein, D.L.2
  • 24
    • 0347193736 scopus 로고
    • Reaction-rate theory: Fifty years after Kramers
    • P. Hänggi, P. Talkner, and M. Borkovec, "Reaction-rate theory: Fifty years after Kramers," Rev. Mod. Phys. 62, pp. 251-341, 1990.
    • (1990) Rev. Mod. Phys. , vol.62 , pp. 251-341
    • Hänggi, P.1    Talkner, P.2    Borkovec, M.3
  • 25
    • 0001549598 scopus 로고
    • Functional determinants and geometry
    • R. Forman, "Functional determinants and geometry," Invent. Math. 88, pp. 447-493, 1987.
    • (1987) Invent. Math. , vol.88 , pp. 447-493
    • Forman, R.1
  • 26
    • 0001566721 scopus 로고    scopus 로고
    • Dynamics of kinks: Nucleation, diffusion, and annihilation
    • S. Habib and G. Lythe, "Dynamics of kinks: Nucleation, diffusion, and annihilation," Phys. Rev. Lett. 84, pp. 1070-1073, 2000.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 1070-1073
    • Habib, S.1    Lythe, G.2
  • 27
    • 0040788495 scopus 로고    scopus 로고
    • Group theoretical properties and band structure of the Lamé Hamiltonian
    • H. Li, D. Kuznetsov, and F. Iachello, "Group theoretical properties and band structure of the Lamé Hamiltonian," J. Phys. A 33, pp. 6413-6429, 2000.
    • (2000) J. Phys. A , vol.33 , pp. 6413-6429
    • Li, H.1    Kuznetsov, D.2    Iachello, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.