Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations
We show that the Perron-Frobenius equation of microscopic chaos based on double symmetric maps leads to an inhomogeneous Smoluchowski equation with a source term. Our perturbative analysis reveals that the source term gives rise to a directed current for a strongly damped particle in a spatially per...
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2004
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sg-smu-ink.lkcsb_research-28732017-04-19T09:56:51Z Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations CHEW, L. Y. TING, Christopher We show that the Perron-Frobenius equation of microscopic chaos based on double symmetric maps leads to an inhomogeneous Smoluchowski equation with a source term. Our perturbative analysis reveals that the source term gives rise to a directed current for a strongly damped particle in a spatially periodic potential. In addition, our result proves that in the zeroth-order limit, the position distribution of the particle obeys the Smoluchowski equation even though the fluctuating force is deterministic. 2004-03-01T08:00:00Z text https://ink.library.smu.edu.sg/lkcsb_research/1874 info:doi/10.1103/PhysRevE.69.031103 https://doi.org/10.1103/PhysRevE.69.031103 Research Collection Lee Kong Chian School Of Business eng Institutional Knowledge at Singapore Management University Management Sciences and Quantitative Methods Physical Sciences and Mathematics |
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Management Sciences and Quantitative Methods Physical Sciences and Mathematics CHEW, L. Y. TING, Christopher Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations |
| description |
We show that the Perron-Frobenius equation of microscopic chaos based on double symmetric maps leads to an inhomogeneous Smoluchowski equation with a source term. Our perturbative analysis reveals that the source term gives rise to a directed current for a strongly damped particle in a spatially periodic potential. In addition, our result proves that in the zeroth-order limit, the position distribution of the particle obeys the Smoluchowski equation even though the fluctuating force is deterministic. |
| format |
text |
| author |
CHEW, L. Y. TING, Christopher |
| author_facet |
CHEW, L. Y. TING, Christopher |
| author_sort |
CHEW, L. Y. |
| title |
Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations |
| title_short |
Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations |
| title_full |
Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations |
| title_fullStr |
Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations |
| title_full_unstemmed |
Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations |
| title_sort |
analysis on the origin of directed current from a class of microscopic chaotic fluctuations |
| publisher |
Institutional Knowledge at Singapore Management University |
| publishDate |
2004 |
| url |
https://ink.library.smu.edu.sg/lkcsb_research/1874 https://doi.org/10.1103/PhysRevE.69.031103 |
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1770570048643006464 |