Phase transitions from the view point of stochastic processes
Project/Area Number |
17540112
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Kyoto University |
Principal Investigator |
YOSHIDA Nobuo Kyoto University, 大学院・理学研究科, 准教授 (40240303)
|
Project Period (FY) |
2005 – 2008
|
Project Status |
Completed (Fiscal Year 2008)
|
Budget Amount *help |
¥3,520,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥420,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
|
Keywords | random walk / random environment / localization / Vandom walk / rondom envirokment / directed polymers / friendly walkers |
Research Abstract |
媒質からの影響を表すパラメーターβ>0を導入する(統計力学で言う「逆温度に相当」)。このとき、空間1, 2次元では任意のβ>0で高分子の局在が起る。一方 空間 3次元、あるいはそれ以上では、相転移が起る。つまり、ある 臨界値 β_c が存在し、β < β_c では拡散相、β > β_c で局在相となる。
|
Report
(5 results)
Research Products
(30 results)