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Volumn 126, Issue 4-5, 2007, Pages 1025-1044

Critical properties and finite-size estimates for the depinning transition of directed random polymers

Author keywords

Concentration of measure; Copolymers; Depinning transition; Directed polymers; Finite size estimates; Pinning and wetting models; Typical and average correlation lengths

Indexed keywords


EID: 34047227132     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9123-x     Document Type: Conference Paper
Times cited : (16)

References (22)
  • 1
    • 0040155757 scopus 로고    scopus 로고
    • Free energy and some sample path properties of a random walk with random potential
    • S. Albeverio and X. Y. Zhou, Free energy and some sample path properties of a random walk with random potential. J. Statist. Phys. 83:573-622 (1996).
    • (1996) J. Statist. Phys , vol.83 , pp. 573-622
    • Albeverio, S.1    Zhou, X.Y.2
  • 3
    • 10344255695 scopus 로고    scopus 로고
    • On the localization transition of random copolymers near selective interfaces
    • T. Bodineau and G. Giacomin, On the localization transition of random copolymers near selective interfaces. J. Statist. Phys. 117:801-818 (2004).
    • (2004) J. Statist. Phys , vol.117 , pp. 801-818
    • Bodineau, T.1    Giacomin, G.2
  • 4
    • 0031506863 scopus 로고    scopus 로고
    • Localization transition for a polymer near an interface
    • E. Bolthausen and F. den Hollander, Localization transition for a polymer near an interface. Ann. Probab. 25:1334-1366 (1997).
    • (1997) Ann. Probab , vol.25 , pp. 1334-1366
    • Bolthausen, E.1    den Hollander, F.2
  • 6
    • 0012705088 scopus 로고
    • Effect of disorder on two-dimensional wetting
    • B. Derrida, V. Hakim, and J. Vannimenus, Effect of disorder on two-dimensional wetting. J. Statist. Phys. 66:1189-1213 (1992).
    • (1992) J. Statist. Phys , vol.66 , pp. 1189-1213
    • Derrida, B.1    Hakim, V.2    Vannimenus, J.3
  • 8
    • 3343000261 scopus 로고
    • Random transverse field Ising spin chains
    • D. S. Fisher, Random transverse field Ising spin chains. Phys. Rev. Lett. 69:534-537 (1992).
    • (1992) Phys. Rev. Lett , vol.69 , pp. 534-537
    • Fisher, D.S.1
  • 9
    • 3543012268 scopus 로고
    • Wetting of a disordered substrate: Exact critical behavior in two dimensions
    • G. Forgacs, J. M. Luck, Th. M. Nieuwenhuizen, and H. Orland, Wetting of a disordered substrate: exact critical behavior in two dimensions. Phys. Rev. Lett. 57:2184-2187 (1986).
    • (1986) Phys. Rev. Lett , vol.57 , pp. 2184-2187
    • Forgacs, G.1    Luck, J.M.2    Nieuwenhuizen, T.M.3    Orland, H.4
  • 10
    • 84956122025 scopus 로고
    • Localization transition of random chains at interfaces
    • T. Garel, D. A. Huse, S. Leibler, and H. Orland, Localization transition of random chains at interfaces. Europhys. Lett. 8:9-13 (1989).
    • (1989) Europhys. Lett , vol.8 , pp. 9-13
    • Garel, T.1    Huse, D.A.2    Leibler, S.3    Orland, H.4
  • 12
    • 24944489276 scopus 로고    scopus 로고
    • Estimates on path delocalization for copolymers at selective interfaces
    • G. Giacomin and F. L. Toninelli, Estimates on path delocalization for copolymers at selective interfaces. Probab. Theor. Rel. Fields 133:464-482 (2005).
    • (2005) Probab. Theor. Rel. Fields , vol.133 , pp. 464-482
    • Giacomin, G.1    Toninelli, F.L.2
  • 13
    • 33745623381 scopus 로고    scopus 로고
    • Smoothing effect of quenched disorder on polymer depinning transitions
    • G. Giacomin and F. L. Toninelli, Smoothing effect of quenched disorder on polymer depinning transitions. Commun. Math. Phys. 266: 1-16 (2006).
    • (2006) Commun. Math. Phys , vol.266 , pp. 1-16
    • Giacomin, G.1    Toninelli, F.L.2
  • 14
    • 33344478999 scopus 로고    scopus 로고
    • Smoothing of Depinning Transitions for Directed Polymers with Quenched Disorder
    • G. Giacomin and F. L. Toninelli, Smoothing of Depinning Transitions for Directed Polymers with Quenched Disorder. Phys. Rev. Lett. 96:060702 (2006).
    • (2006) Phys. Rev. Lett , vol.96 , pp. 060702
    • Giacomin, G.1    Toninelli, F.L.2
  • 15
    • 33745626464 scopus 로고    scopus 로고
    • The localized phase of disordered copolymers with adsorption
    • G. Giacomin and F. L. Toninelli, The localized phase of disordered copolymers with adsorption. ALEA 1:149-180 (2006).
    • (2006) ALEA , vol.1 , pp. 149-180
    • Giacomin, G.1    Toninelli, F.L.2
  • 16
    • 0034351060 scopus 로고    scopus 로고
    • Why is the DNA denaturation of first order?
    • Y. Kafri, D. Mukamel, and L. Peliti, Why is the DNA denaturation of first order? Phys. Rev. Lett. 85:4988-4991 (2000).
    • (2000) Phys. Rev. Lett , vol.85 , pp. 4988-4991
    • Kafri, Y.1    Mukamel, D.2    Peliti, L.3
  • 18
    • 0030086282 scopus 로고    scopus 로고
    • Geometric convergence rates for stochastically ordered Markov chains
    • R. B. Lund and R. L. Tweedie, Geometric convergence rates for stochastically ordered Markov chains. Math. Oper. Res. 20:182-194 (1996).
    • (1996) Math. Oper. Res , vol.20 , pp. 182-194
    • Lund, R.B.1    Tweedie, R.L.2
  • 19
    • 0013196970 scopus 로고    scopus 로고
    • On the localization of random heteropolymers at the interface between two selective solvents
    • C. Monthus, On the localization of random heteropolymers at the interface between two selective solvents. Eur. Phys. J. B 13:111-130 (2000).
    • (2000) Eur. Phys. J. B , vol.13 , pp. 111-130
    • Monthus, C.1
  • 21
    • 24944588811 scopus 로고    scopus 로고
    • preprint , Available on: arXiv.org e-Print archive: math.PR/0504464
    • N. Petrelis, Polymer pinning at an interface, preprint (2005). Available on: arXiv.org e-Print archive: math.PR/0504464.
    • (2005) Polymer pinning at an interface
    • Petrelis, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.