Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2012-04-12
"Phase Transition in a Bond Fluctuating Linear Homo Polymer", AIP Conf. Proc. 1349, pp. 117-118, 2010
Physics
Condensed Matter
Soft Condensed Matter
75 pages, Master degree thesis (University of Hyderabad). Some part of this report is published in AIP conference proceedings
Scientific paper
10.1063/1.3605765
This report deals with phase transition in Bond Fluctuation Model (BFM) of a linear homo polymer on a two dimensional square lattice. Each monomer occupies a unit cell of four lattice sites. The condition that a lattice site can at best be a part of only one monomer ensures self avoidance and models excluded volume effect. We have simulated polymers with number of monomers ranging from 10 to 50 employing Boltzmann and non-Boltzmann Monte Carlo simulation techniques. To detect and characterize phase transition we have investigated heat capacity through energy fluctuations, Landau free energy profiles and Binder's fourth cumulant. We have investigated (1) free standing polymer (2) polymer in the presence of of an attracting wall and (3) polymer confined between two attracting walls. In general we find there are two transitions as we cool the system. The first occurs at relatively higher temperature. The polymer goes from an extended coil to a collapsed globule conformation. This we call collapse transition. We find that this transition is first order. The second occurs at a lower temperature in which the polymer goes from a collapsed phase to a very compact crystalline phase. This transition is also discontinuous. We find that in the presence of wall(s) the collapse transition occurs at lower temperature compared to a free standing polymer.
Kolli Hima Bindu
Murthy K. P. N.
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