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Volumn 84, Issue 2, 2011, Pages

Kramers' escape problem for fractional Klein-Kramers equation with tempered α-stable waiting times

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL FORMULAS; APPROXIMATE SOLUTION; ESCAPE PROBLEM; ESCAPE TIME; FREE PARTICLES; INTEGRO DIFFERENTIAL OPERATOR; LANGEVIN EQUATION; POTENTIAL WELLS; STABLE DISTRIBUTIONS; STABLE LAWS; SUBDIFFUSION; WAITING TIME;

EID: 80052510617     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.021137     Document Type: Article
Times cited : (26)

References (33)
  • 1
    • 34547275473 scopus 로고
    • PHYSAG 0031-8914 10.1016/S0031-8914(40)90098-2
    • H. A. Kramers, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/S0031- 8914(40)90098-2 7, 284 (1940).
    • (1940) Physica (Amsterdam) , vol.7 , pp. 284
    • Kramers, H.A.1
  • 2
    • 0033750050 scopus 로고    scopus 로고
    • JPCBFK 1520-6106 10.1021/jp9934329
    • R. Metzler and J. Klafter, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp9934329 104, 3851 (2000).
    • (2000) J. Phys. Chem. B , vol.104 , pp. 3851
    • Metzler, R.1    Klafter, J.2
  • 3
    • 0033742723 scopus 로고    scopus 로고
    • JPCBFK 1520-6106 10.1021/jp993491m
    • E. Barkai and R. J. Silbey, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp993491m 104, 3866 (2000).
    • (2000) J. Phys. Chem. B , vol.104 , pp. 3866
    • Barkai, E.1    Silbey, R.J.2
  • 4
    • 33745041973 scopus 로고    scopus 로고
    • Anomalous diffusion of inertial, weakly damped particles
    • DOI 10.1103/PhysRevLett.96.230601
    • R. Friedrich, F. Jenko, A. Baule, and S. Eule, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.230601 96, 230601 (2006). (Pubitemid 43877300)
    • (2006) Physical Review Letters , vol.96 , Issue.23 , pp. 230601
    • Friedrich, R.1    Jenko, F.2    Baule, A.3    Eule, S.4
  • 5
    • 35348992085 scopus 로고    scopus 로고
    • Langevin approach to fractional diffusion equations including inertial effects
    • DOI 10.1021/jp072173h
    • S. Eule, R. Friedrich, F. Jenko, and D. Kleinhans, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp072173h 111, 11474 (2007). (Pubitemid 47598330)
    • (2007) Journal of Physical Chemistry B , vol.111 , Issue.39 , pp. 11474-11477
    • Eule, S.1    Friedrich, R.2    Jenko, F.3    Kleinhans, D.4
  • 7
    • 0002641421 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
    • R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1 (2000).
    • (2000) Phys. Rep. , vol.339 , pp. 1
    • Metzler, R.1    Klafter, J.2
  • 9
    • 0036302047 scopus 로고    scopus 로고
    • Cajal body dynamics and association with chromatin are ATP-dependent
    • DOI 10.1038/ncb809
    • M. Platani, I. Goldberg, A. I. Lamond, and J. R. Swedlow, Nat. Cell Biol. NCBIFN 1465-7392 10.1038/ncb809 4, 502 (2002). (Pubitemid 34752435)
    • (2002) Nature Cell Biology , vol.4 , Issue.7 , pp. 502-508
    • Platani, M.1    Goldberg, I.2    Lamond, A.I.3    Swedlow, J.R.4
  • 12
    • 4244129908 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.73.2946
    • R. N. Mantegna and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.2946 73, 2946 (1994).
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 2946
    • Mantegna, R.N.1    Stanley, H.E.2
  • 13
    • 0000644312 scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.52.1197
    • I. Koponen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.52.1197 52, 1197 (1995).
    • (1995) Phys. Rev. e , vol.52 , pp. 1197
    • Koponen, I.1
  • 15
    • 34247641640 scopus 로고    scopus 로고
    • Tempering stable processes
    • DOI 10.1016/j.spa.2006.10.003, PII S030441490600144X
    • J. Rosinski, Stochastic Proc. Appl. STOPB7 0304-4149 10.1016/j.spa.2006. 10.003 117, 677 (2007). (Pubitemid 46669809)
    • (2007) Stochastic Processes and their Applications , vol.117 , Issue.6 , pp. 677-707
    • Rosinski, J.1
  • 16
    • 56649084847 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.78.051106
    • A. Stanislavsky, K. Weron, and A. Weron, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.051106 78, 051106 (2008).
    • (2008) Phys. Rev. e , vol.78 , pp. 051106
    • Stanislavsky, A.1    Weron, K.2    Weron, A.3
  • 17
    • 77954825229 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.011117
    • J. Gajda and M. Magdziarz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.011117 82, 011117 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 011117
    • Gajda, J.1    Magdziarz, M.2
  • 19
    • 0000244857 scopus 로고    scopus 로고
    • STOPB7 0219-0249 10.1142/S0219024900000073
    • A. Matacz, Int. J. Theor. Appl. Finance STOPB7 0219-0249 10.1142/S0219024900000073 3, 143 (2000).
    • (2000) Int. J. Theor. Appl. Finance , vol.3 , pp. 143
    • Matacz, A.1
  • 21
    • 37649007901 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.76.066708
    • M. Magdziarz and A. Weron, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.066708 76, 066708 (2007).
    • (2007) Phys. Rev. e , vol.76 , pp. 066708
    • Magdziarz, M.1    Weron, A.2
  • 24
  • 25
    • 0001056254 scopus 로고    scopus 로고
    • CHPLBC 0009-2614 10.1016/S0009-2614(00)00374-2
    • R. Metzler and J. Klafter, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(00)00374-2 321, 238 (2000).
    • (2000) Chem. Phys. Lett. , vol.321 , pp. 238
    • Metzler, R.1    Klafter, J.2
  • 26
    • 78650922890 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.3511722
    • B. Dybiec, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3511722 133, 244114 (2010).
    • (2010) J. Chem. Phys. , vol.133 , pp. 244114
    • Dybiec, B.1
  • 29
    • 73649101890 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/88/10003
    • B. Dybiec and E. Gudowska-Nowak, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/88/10003 88, 10003 (2009).
    • (2009) Europhys. Lett. , vol.88 , pp. 10003
    • Dybiec, B.1    Gudowska-Nowak, E.2


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