1999 Fiscal Year Final Research Report Summary
Development of Adaptive Monte-Carlo Method.
| Project/Area Number |
10650063
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | KYOTO UNIVERSITY |
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Principal Investigator |
MUNAKATA Toyonori Kyoto Univ. School of Informatics. Professor, 情報学研究科, 教授 (40026357)
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| Project Period (FY) |
1998 – 1999
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| Keywords | Monte-Carlo method / Tsallis statistics / Entropy production / Optimization / Protein folding / temperature control / Kramers problem / Langevin dynamics |
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| Research Abstract |
1. Dynamic Extension of the Tsallis Statistics :
Langevin dynamics for Tsallis statics is given. It is applied to study anamolous Brownian motion and Kramers Problem.
2. Langevin Equation and Entropy Production :
Entropy production rate is formulated for both the dynamical systems (deterministic) and stochastic systems. We considered the Gulton staircase problem, which gathered a lot of attention recently.
3. Temperature Control and Simulated Annealing :
Control of temperature is the most important factor in the simulated annealing method. We developed a new theory, in which we maximize the expected value of energy under the constraint that the distribution function satifies the Fokker-Planck equation or the master equation. This new method is applied to the protein folding problem.
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