Abstract
We analyse the nature of the confinement of an infinitely long (and finite) linear semiflexible homo-polymer chain confined in between two geometrical constraints (A & B) under good solvent condition in two dimensions. The constraints are stair shaped impenetrable lines. A lattice model of fully directed self avoiding walk is used to list information of walks of the confined chain and the exact enumeration technique is used for the canonical ensemble of conformations of the confined chain to discuss equilibrium statistics of the chain. We calculate probability of finding the confined flexible chain segments with either one end of the chain lying on the constraint (i.e. polymer trains) or both the ends of the confined chain lying on the stair shaped constraints (polymer bridge and polymer arc). We have also calculated the force of confinement exerted by the constraints on to the chain or the force exerted by the chain on the geometrical constraints using grand canonical ensemble theory and discuss nature of variation of the force.
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References
S Koester, D Steinhauser and T Pfohl J. Phys.: Cond. Matt. 17 S4091 (2005)
G Morrison and D Thirumalai J. Chem. Phys. 122 194907 (2005)
S E Henrichson, M Misakian, B Bobertson and J J Kasianowicz Phys. Rev. Lett. 85 3057 (2000)
Structure and Dynamics of Confined Polymers (eds.) J J Kasianowicz et. al (Dordrecht, Kluwer Academic Publishesr) (2002)
P Cifra, Z Benkova and T Bleha J. Phys. Chem. B 113 1843 (2009)
P Cifra J. Chem. Phys. 131 224903 (2009)
P Cifra and T Bleha Eur. Phys. J. 32 273 (2010)
P K Mishra Phase Transitions 84 291 (2011)
P K Mishra Cond. Matt. Phys. 17 23001 (2014)
P K Mishra Phase Transitions 88 593 (2015)
P Romiszowski and A Sirkorski Acta Phys. Polo. B 38 1891 (2007)
J H J Van Ophensden, J M M De Nijs and F W Wiegel Physica A 134 59 (1985)
E A DiMarzio and R J Rubin J Chem. Phys. 55 4318 (1971)
V Privman and H L Frisch J. Chem. Phys. 88 469 (1988)
V Privman and N M Svrakic Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties (Berlin, Springer) (1989)
P K Mishra J. Phys.: Cond. Matt. 22 155103 (2010)
P K Mishra Phase Transitions 83(1) 47 (2010)
P K Mishra Fizika A 19(3) 145 (2010)
D P Foster, E Orlandini and M C Tesi J. Phys. 25 L1211 (1992)
Y Singh, S Kumar and D Giri J. Phys. A 32 L407 (1999)
Y Singh, D Giri and S Kumar J. Phys. A: Math. and Gen. 34 L67 (1999)
D S Gaunt and A J Guttmann Phase Transitions and Critical Phenomena (eds.) C Domb and M S Green, Vol. 3 (New York: Academic) (1974)
P K Mishra and Y Singh Phase Transitions 75 353 (2002)
P K Mishra and S Kumar J. Chem. Phys. 121 8642 (2004)
P K Mishra, S Kumar and Y Singh Europhys. Lett. 69 102 (2005)
P K Mishra, S Kumar and Y Singh Physica A 323 453 (2003)
D Giri, P K Mishra and S Kumar Ind. J. Phys. A 77 561 (2003)
P K Mishra, D Giri, S Kumar and Y Singh Physica A 318 171 (2003)
T Odijk Macromolecules 16 1340 (1983)
Acknowledgements
The financial support received from SERB, Department of Science and Technology, New Delhi (SR/FTP/PS-122/2010) thankfully acknowledged.
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Mishra, P.K. Effect of confinement and stiffness on the conformational change of a semiflexible homopolymer chain. Indian J Phys 91, 1297–1304 (2017). https://doi.org/10.1007/s12648-017-1049-4
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DOI: https://doi.org/10.1007/s12648-017-1049-4