메뉴 건너뛰기




Volumn 105, Issue 10, 2010, Pages

Origin of hyperdiffusion in generalized brownian motion

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC REGIMES; BROWNIAN MOTION; GENERALIZED LANGEVIN EQUATION; KINETIC TEMPERATURES; MARKOVIAN; NON-MARKOVIAN; RANGE-VELOCITY; SUPERDIFFUSION; THERMAL BATH; TRANSIENT HEATING; TRANSIENT REGIME;

EID: 77956270042     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.100602     Document Type: Article
Times cited : (102)

References (35)
  • 1
    • 0141508296 scopus 로고
    • PLRBAQ 0556-2805 10.1103/PhysRevB.12.2455
    • H. Scher and E.W. Montroll, Phys. Rev. B PLRBAQ 0556-2805 12, 2455 (1975). 10.1103/PhysRevB.12.2455
    • (1975) Phys. Rev. B , vol.12 , pp. 2455
    • Scher, H.1    Montroll, E.W.2
  • 2
    • 34250415771 scopus 로고
    • JSTPSB 0022-4715 10.1007/BF01008803
    • M. Shlesinger, J. Stat. Phys. 10, 421 (1974). JSTPSB 0022-4715 10.1007/BF01008803
    • (1974) J. Stat. Phys. , vol.10 , pp. 421
    • Shlesinger, M.1
  • 4
    • 0040307478 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N
    • J.P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990). PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N
    • (1990) Phys. Rep. , vol.195 , pp. 127
    • Bouchaud, J.P.1    Georges, A.2
  • 5
    • 0002641421 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
    • R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000). PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
    • (2000) Phys. Rep. , vol.339 , pp. 1
    • Metzler, R.1    Klafter, J.2
  • 6
    • 0033742723 scopus 로고    scopus 로고
    • JPCBFK 1520-6106 10.1021/jp993491m
    • E. Barkai and R.J. Silbey, J. Phys. Chem. B 104, 3866 (2000); JPCBFK 1520-6106 10.1021/jp993491m
    • (2000) J. Phys. Chem. B , vol.104 , pp. 3866
    • Barkai, E.1    Silbey, R.J.2
  • 7
    • 0037062026 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2002-00421-1
    • R. Metzler and I.M. Sokolov, Europhys. Lett. EULEEJ 0295-5075 58, 482 (2002). 10.1209/epl/i2002-00421-1
    • (2002) Europhys. Lett. , vol.58 , pp. 482
    • Metzler, R.1    Sokolov, I.M.2
  • 8
  • 9
    • 33847327575 scopus 로고
    • RPPHAG 0034-4885 10.1088/0034-4885/29/1/306
    • R. Kubo, Rep. Prog. Phys. 29, 255 (1966). RPPHAG 0034-4885 10.1088/0034-4885/29/1/306
    • (1966) Rep. Prog. Phys. , vol.29 , pp. 255
    • Kubo, R.1
  • 10
    • 18844402460 scopus 로고
    • JSTPSB 0022-4715 10.1007/BF01008729
    • R. Zwanzig, J. Stat. Phys. 9, 215 (1973). JSTPSB 0022-4715 10.1007/BF01008729
    • (1973) J. Stat. Phys. , vol.9 , pp. 215
    • Zwanzig, R.1
  • 11
  • 14
    • 0032625656 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/S0378-4371(98)00644-X
    • K.G. Wang and M. Tokuyama, Physica (Amsterdam) 265A, 341 (1999). PHYADX 0378-4371 10.1016/S0378-4371(98)00644-X
    • (1999) Physica (Amsterdam) , vol.265 , pp. 341
    • Wang, K.G.1    Tokuyama, M.2
  • 16
    • 0037437756 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/S0378-4371(02)01361-4
    • N. Pottier, Physica (Amsterdam) 317A, 371 (2003). PHYADX 0378-4371 10.1016/S0378-4371(02)01361-4
    • (2003) Physica (Amsterdam) , vol.317 , pp. 371
    • Pottier, N.1
  • 17
    • 0242384238 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.138104
    • J.-D. Bao and Y.-Zh. Zhuo, Phys. Rev. Lett. 91, 138104 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.138104
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 138104
    • Bao, J.-D.1    Zhuo, Y.-Zh.2
  • 18
    • 3543014993 scopus 로고    scopus 로고
    • JSTPSB 0022-4715 10.1023/B:JOSS.0000003118.62044.b7
    • J.-D. Bao, J. Stat. Phys. 114, 503 (2004). JSTPSB 0022-4715 10.1023/B:JOSS.0000003118.62044.b7
    • (2004) J. Stat. Phys. , vol.114 , pp. 503
    • Bao, J.-D.1
  • 19
    • 23844500857 scopus 로고    scopus 로고
    • CPLEEU 0256-307X 10.1088/0256-307X/22/8/006
    • J.-D. Bao and Zh.-Wu Bai, Chin. Phys. Lett. 22, 1845 (2005). CPLEEU 0256-307X 10.1088/0256-307X/22/8/006
    • (2005) Chin. Phys. Lett. , vol.22 , pp. 1845
    • Bao, J.-D.1    Bai, Z.-W.2
  • 20
    • 0347975171 scopus 로고    scopus 로고
    • JSTPSB 0022-4715 10.1023/B:JOSS.0000003113.22621.f0
    • R. Kupferman, J. Stat. Phys. 114, 291 (2004). JSTPSB 0022-4715 10.1023/B:JOSS.0000003113.22621.f0
    • (2004) J. Stat. Phys. , vol.114 , pp. 291
    • Kupferman, R.1
  • 21
    • 36249021544 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.99.200601
    • I. Goychuk and P. Hänggi, Phys. Rev. Lett. 99, 200601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.200601
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 200601
    • Goychuk, I.1    Hänggi, P.2
  • 22
    • 59349102367 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.79.011112
    • W. Deng and E. Barkai, Phys. Rev. E PLEEE8 1539-3755 79, 011112 (2009). 10.1103/PhysRevE.79.011112
    • (2009) Phys. Rev. e , vol.79 , pp. 011112
    • Deng, W.1    Barkai, E.2
  • 23
    • 70449103071 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.80.046125
    • I. Goychuk, Phys. Rev. E PLEEE8 1539-3755 80, 046125 (2009). 10.1103/PhysRevE.80.046125
    • (2009) Phys. Rev. e , vol.80 , pp. 046125
    • Goychuk, I.1
  • 25
  • 26
    • 33646972456 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(88)90023-3
    • H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. 168, 115 (1988). PRPLCM 0370-1573 10.1016/0370-1573(88)90023-3
    • (1988) Phys. Rep. , vol.168 , pp. 115
    • Grabert, H.1    Schramm, P.2    Ingold, G.-L.3
  • 27
    • 27744586782 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.94.240602
    • G. Bel and E. Barkai, Phys. Rev. Lett. 94, 240602 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.240602
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 240602
    • Bel, G.1    Barkai, E.2
  • 28
    • 48849092363 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.058101
    • Y. He, S. Burov, R. Metzler, and E. Barkai, Phys. Rev. Lett. 101, 058101 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.058101
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 058101
    • He, Y.1    Burov, S.2    Metzler, R.3    Barkai, E.4
  • 30
    • 37549039028 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.76.061119
    • K. Lü and J.-D. Bao, Phys. Rev. E PLEEE8 1539-3755 76, 061119 (2007). 10.1103/PhysRevE.76.061119
    • (2007) Phys. Rev. e , vol.76 , pp. 061119
    • Lü, K.1    Bao, J.-D.2
  • 31
    • 0004101795 scopus 로고
    • Landau and Lifshitz Course of Theoretical Physics Pergamon Press, New York
    • L.P. Pitaevskii and E.M. Lifshitz, Physical Kinetics, Landau and Lifshitz Course of Theoretical Physics Vol. 10 (Pergamon Press, New York, 1981).
    • (1981) Physical Kinetics , vol.10
    • Pitaevskii, L.P.1    Lifshitz, E.M.2
  • 33
    • 77956287518 scopus 로고    scopus 로고
    • 0 is a transient time), the redistribution of the velocities of individual particles becomes insignificant and lim t→∞lim τ→∞ Δv(t+τ)Δv(t)/ Δv2(t)=1. This means that Δv(t) is not an ergodic process and ballistic diffusion in tilted washboard potentials is nonergodic. See supplementary material at
    • 0 is a transient time), the redistribution of the velocities of individual particles becomes insignificant and lim t→∞lim τ→∞ Δv(t+τ)Δv(t)/ Δv2(t)=1. This means that Δv(t) is not an ergodic process and ballistic diffusion in tilted washboard potentials is nonergodic. See supplementary material at http://link.aps.org/supplemental/10.1103/PhysRevLett. 105.100602 for further details.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.