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Please use this identifier to cite or link to this item:
https://nccur.lib.nccu.edu.tw/handle/140.119/65806
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| Title: | Strong Griffiths singularities in random systems and their relation to extreme value statistics |
| Authors: | 林瑜琤
Lin, Yu-Cheng |
| Contributors: | 應物所 |
| Date: | 2006.06 |
| Issue Date: | 2014-05-01 17:48:19 (UTC+8) |
| Abstract: | 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. |
| Relation: | Physcial Review B, 73(22), 224206(1-10) |
| Data Type: | article |
| Appears in Collections: | [應用物理研究所 ] 期刊論文
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Files in This Item:
| File |
Description |
Size | Format | |
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| 224206.pdf | | 547Kb | Adobe PDF2 | 1273 | View/Open |
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