Abstract
We briefly discuss lattice models of polymers. Using exact enumeration technique and renormalization group theory, we show how to calculate their equilibrium properties. We apply the method developed here to study the collapse transition, adsorption transition and collapse & adsorption transitions near an attractive wall. We also discuss the exact enumeration technique, which may be used to interpret the results of single molecule force spectroscopy.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. G. deGennes, Scaling concepts in Polymer Physics (Cornell Univ. Press, Ithaca, 1979).
C. Vanderzande, Lattice Models of Polymers (Cambridge Univ. Press: Cambridge, 1998)
J. D. Cloizeaux, Phys. Rev. A. 10 1665 (1974).
N. Madras and G. Slade, The Self Avoiding Walks Birkauser, (1993)
A. J. Guttmann, Phase Transitions and Critical Phenomena, Vol. 3 and 13, Edited by C. Domb and J. L. Lebowitz (Academic Press: New York
D. Dhar and Y. Singh in Statistics of Linear polymer in Disordered Media, Edited by B. K. Chakrabarti, Elsevier, Amsterdam (2005).
R. Rajesh, D. Dhar, D. Giri, S. Kumar and Y. Singh, Phys. Rev. E. 65 056124 (2002);
P. K. Mishra, D. Giri, S. Kumar and Y. Singh, Physica A 318, 171 (2003).
A. R. Singh, D. Giri and S. Kumar, Pramana 71 283 (2008).
S. Kumar and M. S. Li, Phys. Rep. 486, 1–74 (2010).
Editor information
Rights and permissions
Copyright information
© 2011 Hindustan Book Agency
About this chapter
Cite this chapter
Kumar, S. (2011). Graphical Enumeration Techniques: Application to Polymers. In: Santra, S.B., Ray, P. (eds) Computational Statistical Physics. Texts and Readings in Physical Sciences. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-50-7_3
Download citation
DOI: https://doi.org/10.1007/978-93-86279-50-7_3
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-93-80250-15-1
Online ISBN: 978-93-86279-50-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)