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Analytical results of the extensible freely jointed chain model

Author

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  • Fiasconaro, Alessandro
  • Falo, Fernando

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.

Suggested Citation

  • Fiasconaro, Alessandro & Falo, Fernando, 2019. "Analytical results of the extensible freely jointed chain model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    • Handle: RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119311318
    DOI: 10.1016/j.physa.2019.121929
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