Analytical results of the extensible freely jointed chain model

Alessandro Fiasconaro and Fernando Falo

Physica A: Statistical Mechanics and its Applications, 2019, vol. 532, issue C

Abstract: Based on classical statistical mechanics, we calculate analytically the length extension and the fluctuations, under a pulling force, of a polymer modeled as a freely jointed chain with extensible bonds, the latter considered as harmonic springs. We obtain an analytical formula for the partition function, and derive both the extension curve of the chain and the fluctuations as a function of the force. An independent high force approximation has been also evaluated. The analytical formulas have been validated by analyzing the exactness of their fit on data obtained from Langevin simulations, and compared with the phenomenological expressions largely used in the past literature.

Keywords: Stochastic modeling; Fluctuation phenomena; Polymer models; Langevin equation (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119311318
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119311318

DOI: 10.1016/j.physa.2019.121929

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().