메뉴 건너뛰기




Volumn 142, Issue 5, 2011, Pages 919-930

Current Moments of 1D ASEP by Duality

Author keywords

Asymmetric exclusion process; Bethe ansatz; Duality

Indexed keywords


EID: 79952485894     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-011-0149-3     Document Type: Article
Times cited : (63)

References (33)
  • 1
    • 78650327767 scopus 로고    scopus 로고
    • Probability distribution of the free energy of the continuum directed random polymer in 1+1 dimensions
    • Amir, G., Corwin, I., Quastel, J.: Probability distribution of the free energy of the continuum directed random polymer in 1+1 dimensions. Commun. Pure Appl. Math. 64, 466-537 (2011).
    • (2011) Commun. Pure Appl. Math. , vol.64 , pp. 466-537
    • Amir, G.1    Corwin, I.2    Quastel, J.3
  • 2
    • 77953523639 scopus 로고    scopus 로고
    • Free-energy distribution of the directed polymer at high temperature
    • Calabrese, P., Le Doussal, P., Rosso, A.: Free-energy distribution of the directed polymer at high temperature. Europhys. Lett. 90, 20002 (2010).
    • (2010) Europhys. Lett. , vol.90 , pp. 20002
    • Calabrese, P.1    Le Doussal, P.2    Rosso, A.3
  • 4
    • 77953500008 scopus 로고    scopus 로고
    • Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers
    • Dotsenko, V.: Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers. Europhys. Lett. 90, 20003 (2010).
    • (2010) Europhys. Lett. , vol.90 , pp. 20003
    • Dotsenko, V.1
  • 5
    • 0000911818 scopus 로고
    • Hopf algebras and the quantum Yang-Baxter equation
    • Drinfeld, V. G.: Hopf algebras and the quantum Yang-Baxter equation. Sov. Math. Dokl. 32, 254-258 (1985).
    • (1985) Sov. Math. Dokl. , vol.32 , pp. 254-258
    • Drinfeld, V.G.1
  • 6
    • 78650400153 scopus 로고    scopus 로고
    • From interacting particle systems to random matrices
    • Ferrari, P. L.: From interacting particle systems to random matrices. J. Stat. Mech. P10016 (2010).
    • (2010) J. Stat. Mech.
    • Ferrari, P.L.1
  • 7
    • 0040323775 scopus 로고
    • A q-difference analogue of U (g) and the Yang-Baxter equation
    • Jimbo, M.: A q-difference analogue of U (g) and the Yang-Baxter equation. Lett. Math. Phys. 10, 63-69 (1985).
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63-69
    • Jimbo, M.1
  • 8
    • 5544248074 scopus 로고
    • Replica Bethe ansatz studies of two-dimensional interfaces with quenched random impurities
    • Kardar, M.: Replica Bethe ansatz studies of two-dimensional interfaces with quenched random impurities. Nucl. Phys. B 290, 582-602 (1987).
    • (1987) Nucl. Phys. B , vol.290 , pp. 582-602
    • Kardar, M.1
  • 10
    • 78649644408 scopus 로고    scopus 로고
    • A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
    • Kriecherbauer, T., Krug, J.: A pedestrian's view on interacting particle systems, KPZ universality, and random matrices. J. Phys. A 43, 403001 (2010).
    • (2010) J. Phys. A , vol.43 , pp. 403001
    • Kriecherbauer, T.1    Krug, J.2
  • 11
    • 77954862331 scopus 로고    scopus 로고
    • Distribution of a Particle's Position in the ASEP with the Alternating Initial Condition
    • Lee, E.: Distribution of a Particle's Position in the ASEP with the Alternating Initial Condition. J. Stat. Phys. 140, 635-647 (2010).
    • (2010) J. Stat. Phys. , vol.140 , pp. 635-647
    • Lee, E.1
  • 15
    • 13644252540 scopus 로고
    • Common structures between finite systems and conformal field theories through quantum groups
    • Pasquier, V., Saleur, H.: Common structures between finite systems and conformal field theories through quantum groups. Nucl. Phys. B 330, 523-556 (1990).
    • (1990) Nucl. Phys. B , vol.330 , pp. 523-556
    • Pasquier, V.1    Saleur, H.2
  • 16
    • 79751501755 scopus 로고    scopus 로고
    • Two-point generating function of the free energy for a directed polymer in a random medium
    • Prolhac, S., Spohn, H.: Two-point generating function of the free energy for a directed polymer in a random medium. J. Stat. Mech. P01031 (2011).
    • (2011) J. Stat. Mech.
    • Prolhac, S.1    Spohn, H.2
  • 17
    • 34547654109 scopus 로고    scopus 로고
    • Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques
    • Sasamoto, T.: Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques. J. Stat. Mech. P07007 (2007).
    • (2007) J. Stat. Mech.
    • Sasamoto, T.1
  • 18
    • 77952885302 scopus 로고    scopus 로고
    • Universality of the one-dimensional KPZ equation
    • Sasamoto, T., Spohn, H.: Universality of the one-dimensional KPZ equation. Phys. Rev. Lett. 834, 523-542 (2010).
    • (2010) Phys. Rev. Lett. , vol.834 , pp. 523-542
    • Sasamoto, T.1    Spohn, H.2
  • 19
    • 77952885302 scopus 로고    scopus 로고
    • Exact height distributions for the KPZ equation with narrow wedge initial condition
    • Sasamoto, T., Spohn, H.: Exact height distributions for the KPZ equation with narrow wedge initial condition. Nucl. Phys. B 834, 523-542 (2010).
    • (2010) Nucl. Phys. B , vol.834 , pp. 523-542
    • Sasamoto, T.1    Spohn, H.2
  • 20
    • 77954032129 scopus 로고    scopus 로고
    • The crossover regime for the weakly asymmetric simple exclusion process
    • Sasamoto, T., Spohn, H.: The crossover regime for the weakly asymmetric simple exclusion process. J. Stat. Phys. 140, 209-231 (2010).
    • (2010) J. Stat. Phys. , vol.140 , pp. 209-231
    • Sasamoto, T.1    Spohn, H.2
  • 21
    • 0031091683 scopus 로고    scopus 로고
    • Duality relations for asymmetric exclusion processes
    • Schütz, G. M.: Duality relations for asymmetric exclusion processes. J. Stat. Phys. 86, 1265-1287 (1997).
    • (1997) J. Stat. Phys. , vol.86 , pp. 1265-1287
    • Schütz, G.M.1
  • 22
    • 0040238394 scopus 로고    scopus 로고
    • Exact solution of the master equation for the asymmetric exclusion process
    • Schütz, G. M.: Exact solution of the master equation for the asymmetric exclusion process. J. Stat. Phys. 88, 427-445 (1997).
    • (1997) J. Stat. Phys. , vol.88 , pp. 427-445
    • Schütz, G.M.1
  • 23
    • 77249167474 scopus 로고    scopus 로고
    • Exactly solvable models for many-body systems far from equilibrium
    • C. Domb and J. L. Lebowitz (Eds.)
    • Schütz, G. M.: Exactly solvable models for many-body systems far from equilibrium. In: Domb, C., Lebowitz, J. L. (eds.) Phase Transitions and Critical Phenomena, vol. 19, pp. 1-251 (2000).
    • (2000) Phase Transitions and Critical Phenomena , vol.19 , pp. 1-251
    • Schütz, G.M.1
  • 24
    • 34547722351 scopus 로고    scopus 로고
    • KPZ equation in one dimension and line ensembles
    • Spohn, H.: KPZ equation in one dimension and line ensembles. Pranama J. Phys. 64, 1-11 (2005).
    • (2005) Pranama J. Phys. , vol.64 , pp. 1-11
    • Spohn, H.1
  • 25
    • 46349105749 scopus 로고    scopus 로고
    • A Fredholm determinant representation in ASEP
    • Tracy, C. A., Widom, H.: A Fredholm determinant representation in ASEP. J. Stat. Phys. 132, 291-300 (2008).
    • (2008) J. Stat. Phys. , vol.132 , pp. 291-300
    • Tracy, C.A.1    Widom, H.2
  • 26
    • 41149087607 scopus 로고    scopus 로고
    • Integral formulas for the asymmetric simple exclusion process
    • Tracy, C. A., Widom, H.: Integral formulas for the asymmetric simple exclusion process. Commun. Math. Phys. 279, 815-844 (2008).
    • (2008) Commun. Math. Phys. , vol.279 , pp. 815-844
    • Tracy, C.A.1    Widom, H.2
  • 27
    • 70349658863 scopus 로고    scopus 로고
    • Asymptotics in ASEP with step initial condition
    • Tracy, C. A., Widom, H.: Asymptotics in ASEP with step initial condition. Commun. Math. Phys. 209, 129-154 (2009).
    • (2009) Commun. Math. Phys. , vol.209 , pp. 129-154
    • Tracy, C.A.1    Widom, H.2
  • 28
    • 74449093075 scopus 로고    scopus 로고
    • On ASEP with step Bernoulli initial condition
    • Tracy, C. A., Widom, H.: On ASEP with step Bernoulli initial condition. J. Stat. Phys. 137, 825-838 (2009).
    • (2009) J. Stat. Phys. , vol.137 , pp. 825-838
    • Tracy, C.A.1    Widom, H.2
  • 29
    • 72149125347 scopus 로고    scopus 로고
    • On the distribution of a second-class particle in the asymmetric simple exclusion process
    • Tracy, C. A., Widom, H.: On the distribution of a second-class particle in the asymmetric simple exclusion process. J. Phys. A, Math. Theor. 42, 425002 (2009).
    • (2009) J. Phys. A, Math. Theor. , vol.42 , pp. 425002
    • Tracy, C.A.1    Widom, H.2
  • 30
    • 70349675785 scopus 로고    scopus 로고
    • Total current fluctuations in the asymmetric simple exclusion model
    • Tracy, C. A., Widom, H.: Total current fluctuations in the asymmetric simple exclusion model. J. Math. Phys. 50, 095204 (2009).
    • (2009) J. Math. Phys. , vol.50 , pp. 095204
    • Tracy, C.A.1    Widom, H.2
  • 31
    • 77954865787 scopus 로고    scopus 로고
    • Formulas for ASEP with Two-Sided Bernoulli Initial Condition
    • Tracy, C. A., Widom, H.: Formulas for ASEP with Two-Sided Bernoulli Initial Condition. J. Stat. Phys. 140, 619-634 (2010).
    • (2010) J. Stat. Phys. , vol.140 , pp. 619-634
    • Tracy, C.A.1    Widom, H.2
  • 32
    • 77954484206 scopus 로고    scopus 로고
    • Formulas for joint probabilities for the asymmetric simple exclusion process
    • Tracy, C. A., Widom, H.: Formulas for joint probabilities for the asymmetric simple exclusion process. J. Math. Phys. 51, 063302 (2010).
    • (2010) J. Math. Phys. , vol.51 , pp. 063302
    • Tracy, C.A.1    Widom, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.