Ergodic properties in athermal diffusion processes and its applications
| Project/Area Number |
26800204
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Keio University |
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Principal Investigator |
Akimoto Takuma 慶應義塾大学, 理工学研究科(矢上), 特任准教授 (30454044)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 異常拡散 / エルゴード特性 / 非熱的な拡散 / 不均一環境 / 非熱的拡散 / エルゴード性 / 非平衡現象 / 非線形現象 / 細胞内輸送 |
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| Outline of Final Research Achievements |
Purpose of our research project is to clarify ergodic properties of time-averaged mean square displacement characterizing diffusivity of systems in non-thermally driven diffusion processes, where fluctuation-dissipation relation is broken. We consider a random walk model where the jump length is coupled to the waiting time and a Brownian motion where the diffusion coefficient changes randomly with time. We analytical showed the ensemble average and the relative standard deviation of time-averaged mean square displacement as a function of the measurement time and its initial ensemble dependency.
Our works have been published in Phys. Rev. E and J. Stat. Mech. and I gave presentations on this issue in international conferences.
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Report
(4 results)
Research Products
(34 results)
