title: Numerical studies on critical properties of the Kosterlitz-Thouless phase for the gauge glass model in two dimensions.
abstract: The critical exponents are estimated for the gauge glass model in two dimensions, in which only the Kosterlitz-Thouless (KT) phase appears in the low-temperature regime. The nonequilibrium relaxation method is applied to estimate the transition temperature and critical exponents: the static exponent η and the dynamical exponent z. Since the system exhibits criticality in the whole KT phase, we estimate the exponents on the boundary as well as inside the KT phase. The static exponent η depends on both the temperature and the strength of randomness, while the dynamical one z is almost constant throughout the KT phase, including the boundary.
authors.affiliation: Department of Engineering Science, Graduate School of Informatics and Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan.
authors.forename: Yukiyasu
authors.initials: Y
authors.lastname: Ozeki
authors.affiliation: Department of Applied Physics and Chemistry, Graduate School of Electro-Communications, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan.
authors.forename: Satoshi
authors.initials: S
authors.lastname: Yotsuyanagi
authors.affiliation: Department of Applied Physics and Chemistry, Graduate School of Electro-Communications, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan.
authors.forename: Takuya
authors.initials: T
authors.lastname: Sakai
authors.affiliation: Department of Engineering Science, Graduate School of Informatics and Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan.
authors.forename: Yuki
authors.initials: Y
authors.lastname: Echinaka
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D009716:Numerical Analysis, Computer-Assisted; D044367:Phase Transition; D012996:Solutions / Q000737:chemistry*
chemical_list: D012996:Solutions