Published January 8, 2007
| public
Journal Article
Half- and full-integer power law for distance fluctuations: Langevin dynamics in one- and two-dimensional systems
- Creators
- Chen, Wei-Chen
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Tang, Jau
Abstract
Langevin dynamics of one- and two-dimensional systems with the nearest neighbor couplings is examined to derive the autocorrelation function (ACF) of the distance fluctuations. Understanding of the dynamics of pairwise distance correlation is essential in the studies using single-molecule spectroscopy. For both 1-D cases of an open chain and a closed loop, a power law of t^(−1/2), t^(−3/2) and t^(−5/2) for the ACF are obtained, and for 2-D systems of a sheet and a tube, a power law of t⁻¹, t⁻² and t⁻³ are found. The different exponent of the power law is shown to depend on the location of the pairwise beads and their topography.
Additional Information
The authors thank Professor R.A. Marcus and Meher Prakash for discussions. It is a pleasure to acknowledge the support of this research by the National Science Foundation and the Office of Naval Research. J.T. thanks the support of James W. Glanville Foundation at the California Institute of Technology when the major part of this work was completed.Additional details
- Eprint ID
- 118867
- Resolver ID
- CaltechAUTHORS:20230120-922992200.1
- NSF
- Office of Naval Research (ONR)
- James W. Glanville Foundation
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2023-01-24Created from EPrint's datestamp field
- Updated
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2023-01-24Created from EPrint's last_modified field