메뉴 건너뛰기




Volumn 76, Issue 2, 2007, Pages

Tagged particle correlations in the asymmetric simple exclusion process: Finite-size effects

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; RANDOM PROCESSES;

EID: 34548076051     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.021112     Document Type: Article
Times cited : (51)

References (56)
  • 2
    • 0012893235 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01010480
    • A. De Masi and P. A. Ferrari, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01010480 38, 603 (1985);
    • (1985) J. Stat. Phys. , vol.38 , pp. 603
    • De Masi, A.1    Ferrari, P.A.2
  • 3
    • 0003226953 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01018665
    • R. Kutner and H. van Beijeren, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01018665 39, 317 (1985).
    • (1985) J. Stat. Phys. , vol.39 , pp. 317
    • Kutner, R.1    Van Beijeren, H.2
  • 4
    • 21144481123 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/26/19/023
    • B. Derrida, M. R. Evans, and D. Mukamel, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/19/023 26, 4911 (1993);
    • (1993) J. Phys. A , vol.26 , pp. 4911
    • Derrida, B.1    Evans, M.R.2    Mukamel, D.3
  • 5
    • 0031581733 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/30/4/007
    • B. Derrida and K. Mallick, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/4/007 30, 1031 (1997).
    • (1997) J. Phys. A , vol.30 , pp. 1031
    • Derrida, B.1    Mallick, K.2
  • 6
    • 0037644346 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01026591
    • H. van Beijeren, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01026591 63, 47 (1991).
    • (1991) J. Stat. Phys. , vol.63 , pp. 47
    • Van Beijeren, H.1
  • 7
    • 0000312399 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.44.5306
    • S. N. Majumdar and M. Barma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.5306 44, 5306 (1991).
    • (1991) Phys. Rev. B , vol.44 , pp. 5306
    • Majumdar, S.N.1    Barma, M.2
  • 8
    • 0001158968 scopus 로고
    • PHYADX 0378-4371 10.1016/0378-4371(91)90174-B
    • S. N. Majumdar and M. Barma, Physica A PHYADX 0378-4371 10.1016/0378-4371(91)90174-B 177, 366 (1991).
    • (1991) Physica A , vol.177 , pp. 366
    • Majumdar, S.N.1    Barma, M.2
  • 9
    • 34548076318 scopus 로고    scopus 로고
    • In the absence of the external drive, it is known that σ2 (L,t)∼ t12
    • In the absence of the external drive, it is known that σ2 (L,t)∼ t1 2
  • 10
    • 0001008463 scopus 로고
    • [JPRBAM 0021-9002 10.2307/3212197
    • [T. E. Harris, J. Appl. Probab. JPRBAM 0021-9002 10.2307/3212197 2, 323 (1965);
    • (1965) J. Appl. Probab. , vol.2 , pp. 323
    • Harris, T.E.1
  • 11
    • 0000554761 scopus 로고
    • APBYAE 0091-1798
    • R. Arratia, Ann. Probab. APBYAE 0091-1798 11, 362 (1983);
    • (1983) Ann. Probab. , vol.11 , pp. 362
    • Arratia, R.1
  • 12
    • 34548091308 scopus 로고    scopus 로고
    • see also Ref.]. In the ASEP, if the external drive is small, there is a size-independent short-time precursor to the initial linear regime where σ2 (L,t)∼ t12.
    • see also Ref.]. In the ASEP, if the external drive is small, there is a size-independent short-time precursor to the initial linear regime where σ2 (L,t)∼ t12.
  • 15
    • 0001405969 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(99)00117-9
    • D. Chowdhury, L. Santen, and A. Schadschneider, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00117-9 329, 199 (2000), Sec. 4.1.
    • (2000) Phys. Rep. , vol.329 , pp. 199
    • Chowdhury, D.1    Santen, L.2    Schadschneider, A.3
  • 16
    • 0000276459 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.49.281
    • J. Lee, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.281 49, 281 (1994).
    • (1994) Phys. Rev. e , vol.49 , pp. 281
    • Lee, J.1
  • 17
    • 0001630348 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/25/11/013
    • M. Barma, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/11/013 25, L693 (1992).
    • (1992) J. Phys. A , vol.25 , pp. 693
    • Barma, M.1
  • 20
    • 4243979739 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.56.889
    • M. Kardar, G. Parisi, and Y. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.889 56, 889 (1986).
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 889
    • Kardar, M.1    Parisi, G.2    Zhang, Y.C.3
  • 21
    • 0000234352 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.28.1655
    • S. Katz, J. L. Lebowitz, and H. Spohn, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.1655 28, 1655 (1983);
    • (1983) Phys. Rev. B , vol.28 , pp. 1655
    • Katz, S.1    Lebowitz, J.L.2    Spohn, H.3
  • 22
  • 23
    • 0034164892 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/A:1018688421856
    • J. Krug and J. Garcia, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1018688421856 99, 31 (2000);
    • (2000) J. Stat. Phys. , vol.99 , pp. 31
    • Krug, J.1    Garcia, J.2
  • 24
    • 0034335616 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/A:1018651714376
    • R. Rajesh and S. N. Majumdar, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1018651714376 99, 943 (2000).
    • (2000) J. Stat. Phys. , vol.99 , pp. 943
    • Rajesh, R.1    Majumdar, S.N.2
  • 25
    • 0001288820 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.52.3512
    • D. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.3512 52, 3512 (1995);
    • (1995) Phys. Rev. e , vol.52 , pp. 3512
    • Kim, D.1
  • 27
    • 34548095120 scopus 로고    scopus 로고
    • Note that there are other mappings of ASEP to an interface that have their own merits, e.g., Ref.;
    • Note that there are other mappings of ASEP to an interface that have their own merits, e.g., Ref.;
  • 28
    • 0000011491 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.35.3485
    • M. Plischke, Z. Racz, and D. Liu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.3485 35, 3485 (1987).
    • (1987) Phys. Rev. B , vol.35 , pp. 3485
    • Plischke, M.1    Racz, Z.2    Liu, D.3
  • 29
    • 34548095382 scopus 로고    scopus 로고
    • Here, one identifies the presence of a particle with a downward slope of the interface while the absence of a particle is identified with an upward slope. In this way, the ASEP density profile maps onto a nonequilibrium interface, described by the KPZ equation.
    • Here, one identifies the presence of a particle with a downward slope of the interface while the absence of a particle is identified with an upward slope. In this way, the ASEP density profile maps onto a nonequilibrium interface, described by the KPZ equation.
  • 36
    • 0001159121 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.49.1174
    • P. M. Binder, M. Paczuski, and M. Barma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.1174 49, 1174 (1994).
    • (1994) Phys. Rev. e , vol.49 , pp. 1174
    • Binder, P.M.1    Paczuski, M.2    Barma, M.3
  • 39
    • 0002880483 scopus 로고
    • PHTRDP 0141-1594
    • D. Dhar, Phase Transitions PHTRDP 0141-1594 9, 51 (1987);
    • (1987) Phase Transitions , vol.9 , pp. 51
    • Dhar, D.1
  • 40
    • 4243450938 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.46.844
    • L.-H. Gwa and H. Spohn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.844 46, 844 (1992).
    • (1992) Phys. Rev. A , vol.46 , pp. 844
    • Gwa, L.-H.1    Spohn, H.2
  • 41
    • 0002789119 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.78.3039
    • G. Tripathy and M. Barma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3039 78, 3039 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3039
    • Tripathy, G.1    Barma, M.2
  • 42
    • 4243809375 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.64.021402
    • D. Das, A. Basu, M. Barma, and S. Ramaswamy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.021402 64, 021402 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 021402
    • Das, D.1    Basu, A.2    Barma, M.3    Ramaswamy, S.4
  • 43
    • 41349086343 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.65.052102
    • A. A. Ferreira and F. C. Alcaraz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.052102 65, 052102 (2002).
    • (2002) Phys. Rev. e , vol.65 , pp. 052102
    • Ferreira, A.A.1    Alcaraz, F.C.2
  • 45
    • 21244491635 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/38/19/R01
    • M. R. Evans and T. Hanney, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/19/R01 38, R195 (2005).
    • (2005) J. Phys. A , vol.38 , pp. 195
    • Evans, M.R.1    Hanney, T.2
  • 46
  • 47
    • 34548090761 scopus 로고    scopus 로고
    • arXiv:cond-mat/0604276.
    • arXiv:cond-mat/0604276.
  • 49
    • 0142229900 scopus 로고    scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/36/39/301
    • C. Godrèche and J. M. Luck, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/39/301 36, 9973 (2003).
    • (2003) J. Phys. A , vol.36 , pp. 9973
    • Godrèche, C.1    Luck, J.M.2
  • 50
    • 0035441901 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.64.036103
    • R. Rajesh and S. N. Majumdar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.036103 64, 036103 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 036103
    • Rajesh, R.1    Majumdar, S.N.2
  • 51
  • 53
    • 0003854601 scopus 로고    scopus 로고
    • edited by C. Domb and J. L. Lebowitz Academic, London
    • G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 2001), Vol. 19, Sec. 4.2.2.
    • (2001) Phase Transitions and Critical Phenomena , vol.19
    • Schütz, G.M.1
  • 54
    • 34548072802 scopus 로고
    • Ph.D. thesis, Bombay University
    • S. N. Majumdar, Ph.D. thesis, Bombay University, 1992.
    • (1992)
    • Majumdar, S.N.1
  • 55
    • 0000063939 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(81)90251-6
    • R. Kutner, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(81)90251-6 81A, 239 (1981).
    • (1981) Phys. Lett. , vol.81 , pp. 239
    • Kutner, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.