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題名 Strong Griffiths singularities in random systems and their relation to extreme value statistics 作者 林瑜琤
Lin, Yu-Cheng貢獻者 應物所 日期 2006.06 上傳時間 1-May-2014 17:48:19 (UTC+8) 摘要 We consider interacting many-particle systems with quenched disorder having strong Griffiths singularities,which are characterized by the dynamical exponent, z, such as random quantum systems and exclusion processes.In several d=1 and d=2 dimensional problems we have calculated the inverse time scales, −1, in finitesamples of linear size, L, either exactly or numerically. In all cases, having a discrete symmetry, the distributionfunction, P −1 ,L , is found to depend on the variable, u= −1Lz, and to be universal given by the limitdistribution of extremes of independent and identically distributed random numbers. This finding is explainedin the framework of a strong disorder renormalization group approach when, after fast degrees of freedom aredecimated out, the system is transformed into a set of noninteracting localized excitations. The Fréchet distributionof P −1 ,L is expected to hold for all random systems having a strong disorder fixed point, in which theGriffiths singularities are dominated by disorder fluctuations. 關聯 Physcial Review B, 73(22), 224206(1-10) 資料類型 article dc.contributor 應物所 en_US dc.creator (作者) 林瑜琤 zh_TW dc.creator (作者) Lin, Yu-Cheng en_US dc.date (日期) 2006.06 en_US dc.date.accessioned 1-May-2014 17:48:19 (UTC+8) - dc.date.available 1-May-2014 17:48:19 (UTC+8) - dc.date.issued (上傳時間) 1-May-2014 17:48:19 (UTC+8) - dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/65806 - dc.description.abstract (摘要) We consider interacting many-particle systems with quenched disorder having strong Griffiths singularities,which are characterized by the dynamical exponent, z, such as random quantum systems and exclusion processes.In several d=1 and d=2 dimensional problems we have calculated the inverse time scales, −1, in finitesamples of linear size, L, either exactly or numerically. In all cases, having a discrete symmetry, the distributionfunction, P −1 ,L , is found to depend on the variable, u= −1Lz, and to be universal given by the limitdistribution of extremes of independent and identically distributed random numbers. This finding is explainedin the framework of a strong disorder renormalization group approach when, after fast degrees of freedom aredecimated out, the system is transformed into a set of noninteracting localized excitations. The Fréchet distributionof P −1 ,L is expected to hold for all random systems having a strong disorder fixed point, in which theGriffiths singularities are dominated by disorder fluctuations. en_US dc.format.extent 560539 bytes - dc.format.mimetype application/pdf - dc.language.iso en_US - dc.relation (關聯) Physcial Review B, 73(22), 224206(1-10) en_US dc.title (題名) Strong Griffiths singularities in random systems and their relation to extreme value statistics en_US dc.type (資料類型) article en
