Numerical study of the disordered Poland-Scheraga model of DNA denaturation
| dc.creator | Garel, Thomas | |
| dc.creator | Monthus, Cecile | |
| dc.date | 2005-04-05 | |
| dc.date | 2005-05-25 | |
| dc.date.accessioned | 2026-07-07T03:04:26Z | |
| dc.date.available | 2026-07-07T03:04:26Z | |
| dc.description | We numerically study the binary disordered Poland-Scheraga model of DNA denaturation, in the regime where the pure model displays a first order transition (loop exponent $c=2.15>2$). We use a Fixman-Freire scheme for the entropy of loops and consider chain length up to $N=4 \cdot 10^5$, with averages over $10^4$ samples. We present in parallel the results of various observables for two boundary conditions, namely bound-bound (bb) and bound-unbound (bu), because they present very different finite-size behaviors, both in the pure case and in the disordered case. Our main conclusion is that the transition remains first order in the disordered case: in the (bu) case, the disorder averaged energy and contact densities present crossings for different values of $N$ without rescaling. In addition, we obtain that these disorder averaged observables do not satisfy finite size scaling, as a consequence of strong sample to sample fluctuations of the pseudo-critical temperature. For a given sample, we propose a procedure to identify its pseudo-critical temperature, and show that this sample then obeys first order transition finite size scaling behavior. Finally, we obtain that the disorder averaged critical loop distribution is still governed by $P(l) \sim 1/l^c$ in the regime $l \ll N$, as in the pure case. | |
| dc.description | 12 pages, 13 figures. Revised version | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0504094 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0504094 | |
| dc.identifier | J. Stat. Mech. (2005) P06004 | |
| dc.identifier | doi:10.1088/1742-5468/2005/06/P06004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26136 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Numerical study of the disordered Poland-Scheraga model of DNA denaturation | |
| dc.type | text |