دورية أكاديمية
Random walks with non-Gaussian step-size distributions and the folding of random polymer chains.
| العنوان: | Random walks with non-Gaussian step-size distributions and the folding of random polymer chains. |
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| المؤلفون: | Shaw RH; Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1. dshaw@phys.ualberta.ca, Tuszyński JA |
| المصدر: | Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2003 Mar; Vol. 67 (3 Pt 1), pp. 031102. Date of Electronic Publication: 2003 Mar 13. |
| نوع المنشور: | Journal Article |
| اللغة: | English |
| بيانات الدورية: | Publisher: American Physical Society Country of Publication: United States NLM ID: 101136452 Publication Model: Print-Electronic Cited Medium: Print ISSN: 1539-3755 (Print) Linking ISSN: 15393755 NLM ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Subsets: PubMed not MEDLINE |
| أسماء مطبوعة: | Publication: Original Publication: Melville, NY : Published by the American Physical Society through the American Institute of Physics, c2001- |
| مستخلص: | In this paper, we study a random walker whose step-size distribution is of non-Gaussian bimodal form due to the addition of a quartic term in the exponential. By the central limit theorem, we know that in the limit of a large number of steps, the probability distribution representing the distance the walker has traveled becomes Gaussian. We investigate the nature of this convergence both numerically and analytically. We obtain a scaling relation describing the number of steps required for convergence in terms of the width and separation of the peaks of the step-size distribution. We assume in the concluding section that our model is well suited for the application of the folding of a random polymer chain. |
| تواريخ الأحداث: | Date Created: 20030412 Date Completed: 20030926 Latest Revision: 20030411 |
| رمز التحديث: | 20221213 |
| DOI: | 10.1103/PhysRevE.67.031102 |
| PMID: | 12689050 |
| قاعدة البيانات: | MEDLINE |
| تدمد: | 1539-3755 |
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| DOI: | 10.1103/PhysRevE.67.031102 |