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Volumn 87, Issue 5, 2013, Pages

Branching and annihilating random walks: Exact results at low branching rate

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE RESULTS; BRANCHING RATE; DIRECTED PERCOLATION; NON-PERTURBATIVE RENORMALIZATION GROUPS; PARITY-CONSERVING; PERTURBATION THEORY; RESPONSE FUNCTIONS; UNIVERSALITY CLASS;

EID: 84878479962     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.052132     Document Type: Article
Times cited : (15)

References (60)
  • 2
    • 0034334818 scopus 로고    scopus 로고
    • Non-equilibrium critical phenomena and phase transitions into absorbing states
    • DOI 10.1080/00018730050198152
    • H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000). (Pubitemid 35381843)
    • (2000) Advances in Physics , vol.49 , Issue.7 , pp. 815-958
    • Hinrichsen, H.1
  • 8
    • 3342997262 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.77.4780
    • J. L. Cardy and U. C. Täuber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4780 77, 4780 (1996);
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4780
    • Cardy, J.L.1    Täuber, U.C.2
  • 9
    • 0031634991 scopus 로고    scopus 로고
    • 0022-4715 10.1023/A:1023233431588
    • J. L. Cardy and U. C. Täuber, J. Stat. Phys. 0022-4715 10.1023/A:1023233431588 90, 1 (1998).
    • (1998) J. Stat. Phys. , vol.90 , pp. 1
    • Cardy, J.L.1    Täuber, U.C.2
  • 11
    • 12344300320 scopus 로고    scopus 로고
    • The field theory approach to percolation processes
    • DOI 10.1016/j.aop.2004.09.011, PII S0003491604001769
    • H.-K. Janssen and U. C. Täuber, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2004.09.011 315, 147 (2005). (Pubitemid 40140157)
    • (2005) Annals of Physics , vol.315 , Issue.1 , pp. 147-192
    • Janssen, H.-K.1    Tauber, U.C.2
  • 13
    • 0037721424 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.125701
    • J. Kockelkoren and H. Chaté, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.125701 90, 125701 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 125701
    • Kockelkoren, J.1    Chaté, H.2
  • 14
    • 34250246792 scopus 로고
    • ZPCMDN 0722-3277 10.1007/BF01319549
    • H.-K. Janssen, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01319549 42, 151 (1981);
    • (1981) Z. Phys. B , vol.42 , pp. 151
    • Janssen, H.-K.1
  • 15
    • 1542777068 scopus 로고
    • 0722-3277 10.1007/BF01313803
    • P. Grassberger, Z. Phys. B 0722-3277 10.1007/BF01313803 47, 365 (1982).
    • (1982) Z. Phys. B , vol.47 , pp. 365
    • Grassberger, P.1
  • 16
    • 36149035649 scopus 로고
    • 1361-6447 10.1088/0305-4470/19/6/012
    • L. Peliti, J. Phys. A 1361-6447 10.1088/0305-4470/19/6/012 19, L365 (1986).
    • (1986) J. Phys. A , vol.19 , pp. 365
    • Peliti, L.1
  • 17
    • 0035275668 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.63.036121
    • M. Mobilia and P.-A. Bares, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.036121 63, 036121 (2001)
    • (2001) Phys. Rev. e , vol.63 , pp. 036121
    • Mobilia, M.1    Bares, P.-A.2
  • 18
    • 3442890544 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.255703
    • L. Canet, H. Chaté, and B. Delamotte, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.255703 92, 255703 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 255703
    • Canet, L.1    Chaté, H.2    Delamotte, B.3
  • 20
    • 0001062457 scopus 로고
    • 0305-4470 10.1088/0305-4470/22/23/005
    • P. Grassberger, J. Phys. A 0305-4470 10.1088/0305-4470/22/23/005 22, L1103 (1989).
    • (1989) J. Phys. A , vol.22 , pp. 1103
    • Grassberger, P.1
  • 21
    • 27144529090 scopus 로고    scopus 로고
    • Nonperturbative fixed point in a nonequilibrium phase transition
    • DOI 10.1103/PhysRevLett.95.100601, 100601
    • L. Canet, H. Chaté, B. Delamotte, I. Dornic, and M. A. Muñoz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.100601 95, 100601 (2005). (Pubitemid 41505762)
    • (2005) Physical Review Letters , vol.95 , Issue.10 , pp. 1-4
    • Canet, L.1    Chate, H.2    Delamotte, B.3    Dornic, I.4    Munoz, M.A.5
  • 22
    • 84864451358 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.86.010104
    • F. Benitez and N. Wschebor, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.010104 86, 010104 (R) (2012).
    • (2012) Phys. Rev. e , vol.86 , pp. 010104
    • Benitez, F.1    Wschebor, N.2
  • 23
    • 36149034024 scopus 로고
    • JSTPBS 1361-6447 10.1088/0305-4470/27/8/004
    • B. P. Lee, J. Phys. A JSTPBS 1361-6447 10.1088/0305-4470/27/8/004 27, 2633 (1994);
    • (1994) J. Phys. A , vol.27 , pp. 2633
    • Lee, B.P.1
  • 24
    • 5544314407 scopus 로고
    • 0022-4715 10.1007/BF02179861
    • B. P. Lee and J. L. Cardy, J. Stat. Phys. 0022-4715 10.1007/BF02179861 80, 971 (1995).
    • (1995) J. Stat. Phys. , vol.80 , pp. 971
    • Lee, B.P.1    Cardy, J.L.2
  • 25
    • 0000010252 scopus 로고
    • ZPBBDJ 0340-224X 10.1007/BF01316547
    • H.-K. Janssen, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01316547 23, 377 (1976);
    • (1976) Z. Phys. B , vol.23 , pp. 377
    • Janssen, H.-K.1
  • 27
    • 36149049574 scopus 로고
    • 1361-6447 10.1088/0305-4470/9/9/008
    • M. Doi, J. Phys. A 1361-6447 10.1088/0305-4470/9/9/008 9, 1465 (1976);
    • (1976) J. Phys. A , vol.9 , pp. 1465
    • Doi, M.1
  • 32
    • 0032178164 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/B:JOSS.0000026730.76868.c4
    • K. J. Wiese, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000026730. 76868.c4 93, 143 (1998).
    • (1998) J. Stat. Phys. , vol.93 , pp. 143
    • Wiese, K.J.1
  • 33
    • 84857839612 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.108.108301
    • A. Winkler and E. Frey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.108301 108, 108301 (2012).
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 108301
    • Winkler, A.1    Frey, E.2
  • 35
    • 0001103678 scopus 로고
    • APBYAE 0091-1798 10.1214/aop/1176990627
    • C. Bezuidenhout and G. Grimmett, Ann. Probab. APBYAE 0091-1798 10.1214/aop/1176990627 18, 1462 (1990).
    • (1990) Ann. Probab. , vol.18 , pp. 1462
    • Bezuidenhout, C.1    Grimmett, G.2
  • 36
    • 84878502175 scopus 로고    scopus 로고
    • B. Delamotte, arXiv: cond-mat/0702365
    • B. Delamotte, arXiv: cond-mat/0702365.
  • 38
    • 33645068259 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.42.6985
    • R. Dickman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.6985 42, 6985 (1990);
    • (1990) Phys. Rev. A , vol.42 , pp. 6985
    • Dickman, R.1
  • 39
    • 85036419645 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.70.026119
    • R. Dickman, Phys. Rev. E 1539-3755 10.1103/PhysRevE.70.026119 70, 026119 (2004);
    • (2004) Phys. Rev. e , vol.70 , pp. 026119
    • Dickman, R.1
  • 40
    • 42749104240 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.69.036112
    • R. Dickman, Phys. Rev. E 1539-3755 10.1103/PhysRevE.69.036112 69, 036112 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 036112
    • Dickman, R.1
  • 41
    • 33845287631 scopus 로고    scopus 로고
    • Single-site approximation for reaction-diffusion processes
    • DOI 10.1007/s10955-006-9206-8
    • L. Canet and H. Hilhorst, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9206-8 125, 513 (2006). (Pubitemid 44878139)
    • (2006) Journal of Statistical Physics , vol.125 , Issue.3 , pp. 513-527
    • Canet, L.1    Hilhorst, H.J.2
  • 42
    • 33745110952 scopus 로고    scopus 로고
    • Reaction-diffusion processes and non-perturbative renormalization group
    • DOI 10.1088/0305-4470/39/25/S07, PII S030544700612702X, S07
    • L. Canet, J. Phys. A: Math. Gen. 1361-6447 10.1088/0305-4470/39/25/S07 39, 7901 (2006). (Pubitemid 43880282)
    • (2006) Journal of Physics A: Mathematical and General , vol.39 , Issue.25 , pp. 7901-7912
    • Canet, L.1
  • 43
    • 11544348027 scopus 로고
    • 1539-3755 10.1103/PhysRevE.50.3623
    • I. Jensen, Phys. Rev. E 1539-3755 10.1103/PhysRevE.50.3623 50, 3623 (1994).
    • (1994) Phys. Rev. e , vol.50 , pp. 3623
    • Jensen, I.1
  • 44
    • 7244229813 scopus 로고    scopus 로고
    • Universality classes in nonequilibrium lattice systems
    • DOI 10.1103/RevModPhys.76.663
    • G. Odor, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.663 76, 663 (2004). (Pubitemid 40176839)
    • (2004) Reviews of Modern Physics , vol.76 , Issue.3 , pp. 663-724
    • Odor, G.1
  • 45
    • 3442896393 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.68.3060
    • H. Takayasu and A. Yu. Tretyakov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3060 68, 3060 (1992).
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 3060
    • Takayasu, H.1    Yu. Tretyakov, A.2
  • 46
    • 34347204107 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.75.174206
    • A. A. Fedorenko and F. Kühnel, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.174206 75, 174206 (2007).
    • (2007) Phys. Rev. B , vol.75 , pp. 174206
    • Fedorenko, A.A.1    Kühnel, F.2
  • 47
    • 4244082959 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.63.041116
    • D. Vernon and M. J. Howard, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.041116 63, 041116 (2001).
    • (2001) Phys. Rev. e , vol.63 , pp. 041116
    • Vernon, D.1    Howard, M.J.2
  • 48
    • 0036231822 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(01)00098-9
    • J. Berges, N. Tetradis, and C. Wetterich, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00098-9 363, 223 (2002).
    • (2002) Phys. Rep. , vol.363 , pp. 223
    • Berges, J.1    Tetradis, N.2    Wetterich, C.3
  • 49
    • 34250081974 scopus 로고
    • ZPCFD2 0170-9739 10.1007/BF01553022
    • U. Ellwanger, Z. Phys. C ZPCFD2 0170-9739 10.1007/BF01553022 58, 619 (1993).
    • (1993) Z. Phys. C , vol.58 , pp. 619
    • Ellwanger, U.1
  • 50
    • 0010862640 scopus 로고
    • NUPBBO 0550-3213 10.1016/0550-3213(94)90446-4
    • N. Tetradis and C. Wetterich, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90446-4 422, 541 (1994).
    • (1994) Nucl. Phys. B , vol.422 , pp. 541
    • Tetradis, N.1    Wetterich, C.2
  • 51
    • 0001303808 scopus 로고
    • IMPAEF 0217-751X 10.1142/S0217751X94000972
    • T. R. Morris, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/ S0217751X94000972 9, 2411 (1994).
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 2411
    • Morris, T.R.1
  • 52
    • 0038375900 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(94)90767-6
    • T. R. Morris, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(94)90767-6 329, 241 (1994).
    • (1994) Phys. Lett. B , vol.329 , pp. 241
    • Morris, T.R.1
  • 53
    • 0002101282 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(93)90726-X
    • C. Wetterich, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(93)90726-X 301, 90 (1993).
    • (1993) Phys. Lett. B , vol.301 , pp. 90
    • Wetterich, C.1
  • 54
    • 33646361193 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.69.134413
    • B. Delamotte, D. Mouhanna, and M. Tissier, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.134413 69, 134413 (2004).
    • (2004) Phys. Rev. B , vol.69 , pp. 134413
    • Delamotte, B.1    Mouhanna, D.2    Tissier, M.3
  • 55
    • 33646342752 scopus 로고    scopus 로고
    • CMPHF5 1607-324X 10.5488/CMP.8.1.163
    • B. Delamotte and L. Canet, Condens. Matter Phys. CMPHF5 1607-324X 10.5488/CMP.8.1.163 8, 163 (2005).
    • (2005) Condens. Matter Phys. , vol.8 , pp. 163
    • Delamotte, B.1    Canet, L.2
  • 57
    • 79961103958 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.205118
    • T. Kloss and P. Kopietz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.205118 83, 205118 (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 205118
    • Kloss, T.1    Kopietz, P.2
  • 60
    • 0001043678 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/S0370-2693(97)00866-6
    • M. D'Attanasio and T. R. Morris, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(97)00866-6 409, 363 (1997).
    • (1997) Phys. Lett. B , vol.409 , pp. 363
    • D'Attanasio, M.1    Morris, T.R.2


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