 |
English
|
正體中文
|
简体中文
|
Post-Print筆數 : 27 |
Items with full text/Total items : 109951/140887 (78%)
Visitors : 46271716
Online Users : 1345
|
|
|
Loading...
|
Please use this identifier to cite or link to this item:
https://nccur.lib.nccu.edu.tw/handle/140.119/65806
|
| 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
|
Files in This Item:
| File |
Description |
Size | Format | |
|---|
| 224206.pdf | | 547Kb | Adobe PDF2 | 1156 | View/Open |
|
All items in 政大典藏 are protected by copyright, with all rights reserved.
|
著作權政策宣告 Copyright Announcement1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.
2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(
nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(
nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
