Force–extension relations in macromolecules of variable excluded volume and flexibility: energy and entropy changes on stretching

1995 ◽  
Vol 91 (16) ◽  
pp. 2465-2471 ◽  
Author(s):  
Peter Cifra ◽  
Tomáš Bleha
Soft Matter ◽  
2015 ◽  
Vol 11 (29) ◽  
pp. 5947-5954 ◽  
Author(s):  
Xiaolan Li ◽  
Charles M. Schroeder ◽  
Kevin D. Dorfman

An interpolation formula captures the effect of excluded volume on the force–extension of wormlike chains.


1995 ◽  
Vol 5 (10) ◽  
pp. 1241-1246 ◽  
Author(s):  
Thomas A. Vilgis ◽  
Michael P. Solf

2021 ◽  
Vol 154 (13) ◽  
pp. 134903
Author(s):  
Swaminath Bharadwaj ◽  
Divya Nayar ◽  
Cahit Dalgicdir ◽  
Nico F. A. van der Vegt

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
J. S. Kłos ◽  
J. Paturej

AbstractLangevin dynamics simulations are utilized to study the structure of a dendritic polyelectrolyte embedded in two component mixtures comprised of conventional (small) and bulky counterions. We vary two parameters that trigger conformational properties of the dendrimer: the reduced Bjerrum length, $$\lambda _B^*$$ λ B ∗ , which controls the strength of electrostatic interactions and the number fraction of the bulky counterions, $$f_b$$ f b , which impacts on their steric repulsion. We find that the interplay between the electrostatic and the counterion excluded volume interactions affects the swelling behavior of the molecule. As compared to its neutral counterpart, for weak electrostatic couplings the charged dendrimer exists in swollen conformations whose size remains unaffected by $$f_b$$ f b . For intermediate couplings, the absorption of counterions into the pervaded volume of the dendrimer starts to influence its conformation. Here, the swelling factor exhibits a maximum which can be shifted by increasing $$f_b$$ f b . For strong electrostatic couplings the dendrimer deswells correspondingly to $$f_b$$ f b . In this regime a spatial separation of the counterions into core–shell microstructures is observed. The core of the dendrimer cage is preferentially occupied by the conventional ions, whereas its periphery contains the bulky counterions.


1963 ◽  
Vol 238 (1) ◽  
pp. 172-181
Author(s):  
Izchak Z. Steinberg ◽  
Harold A. Scheraga
Keyword(s):  

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 846
Author(s):  
Donya Ohadi ◽  
David S. Corti ◽  
Mark J. Uline

Modifications to the traditional Onsager theory for modeling isotropic–nematic phase transitions in hard prolate spheroidal systems are presented. Pure component systems are used to identify the need to update the Lee–Parsons resummation term. The Lee–Parsons resummation term uses the Carnahan–Starling equation of state to approximate higher-order virial coefficients beyond the second virial coefficient employed in Onsager’s original theoretical approach. As more exact ways of calculating the excluded volume of two hard prolate spheroids of a given orientation are used, the division of the excluded volume by eight, which is an empirical correction used in the original Lee–Parsons resummation term, must be replaced by six to yield a better match between the theoretical and simulation results. These modifications are also extended to binary mixtures of hard prolate spheroids using the Boublík–Mansoori–Carnahan–Starling–Leland (BMCSL) equation of state.


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