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A Lax Pair for the Dynamics of DNA Modeled as a Shearable and Extensible Elastic Rod: II. Discretization of the Arc Length | | Yaoming Shi
; W. M. McClain
; J. E. Hearst
; | | Date: |
3 Dec 2001 | | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | | Affiliation: | Dept. of Chemistry, University of California, Berkeley, Dept. of Chemistry, Wayne State University, Detroit | | Abstract: | In previous work, the dynamics of the elastic rod was recast in a Lax pair formulation, with fiducial arc length s and time t as continuous independent variables. However, the solution of these equations cannot apply directly to a system where the fiducial arc length s is a discrete variable. In this paper, we show how to discretize the continuous s variable in a way that preserves the integrability of the original system. The t parameter is not discretized, so this algorithm will be especially useful for solutions of the s-discrete and t-continuous elastic rod problem, as may occur in problems where the polymeric structure of the DNA is made explicit. | | Source: | arXiv, nlin.SI/0112004 | | Services: | Forum | Review | PDF | Favorites | |
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