| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Univ Sao Paulo, FFCLRP, Ave Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP - Brazil
[2] Univ Fed Lavras UFLA, Dept Fis DFI, Lavras, MG - Brazil
[3] Univ London, London - England
[4] Natl Inst Sci & Technol Complex Syst INCT SC, Brahmapur - India
[5] Univ Sao Paulo, FCFRP, Ave Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP - Brazil
Total Affiliations: 5
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| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 52, n. 7 FEB 15 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
In this study, we show the convergence and new properties of persistence length, lambda(N), for the self-avoiding random walk model (SAW) using Monte Carlo data. We generate high precision estimates of several conformational quantities with a pivot algorithm for the square, hexagonal, triangular, cubic and diamond lattices with path lengths of 10(3) steps. For each lattice, we accurately estimate the asymptotic limit lambda(infinity), which corroborates the convergence of lambda(N) to a constant value, and allows us to check the universality on the lambda(N )/ lambda(infinity) curves. Based on the lambda(infinity) estimates we make an ansatz for lambda(infinity) dependency with lattice cell and spatial dimension, we also find a new geometric interpretation for the persistence length. (AU) | |
| FAPESP's process: | 16/03918-7 - Characterization and memory effects in stochastic processes |
| Grantee: | Marco Antonio Alves da Silva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/03823-5 - On the mesoscopic mechanisms of tumor growth |
| Grantee: | Marco Antonio Alves da Silva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 11/06757-0 - Diffusive processes: random walkers with memory |
| Grantee: | Marco Antonio Alves da Silva |
| Support Opportunities: | Regular Research Grants |