Monte Carlo simulation of lattice polymers
Swetnam, Adam D. (2011) Monte Carlo simulation of lattice polymers. PhD thesis, University of Warwick.Full text not available from this repository.
Official URL: http://webcat.warwick.ac.uk:80/record=b2580921~S1
The phase behaviour of lattice polymers and peptides, under various conditions,
is investigated using Monte Carlo simulation. Wang-Landau sampling is
used so that, in principle, phase diagrams can be determined from a single simulation.
It is demonstrated that the pseudophase diagram for polymer molecules, in
several environments, can be plotted when sampling only from the internal degrees
of freedom, by determining an appropriate density of states.
Several improvements to the simulation methods used are detailed. A new
prescription for setting the modification factor in the Wang-Landau algorithm is
described, tested and found, for homopolymers, to result in near optimum convergence
throughout the simulation. Different methods of selecting moves from the pull
move set are detailed, and their relative efficiencies determined. Finally, it is shown
that results for a polymer in a slit with one attractive surface can be determined by
sampling only from the internal degrees of freedom of a lattice polymer.
Adsorption of lattice polymers and peptides is investigated by determining
pseudophase diagrams for individual molecules. The phase diagram for a homopolymer
molecule, near a surface with a pattern of interaction, is determined, with a
pseudophase identified where the polymer is commensurate with the pattern. For
an example lattice peptide, the existence of the new pseudophase is found to depend
on whether both hydrophobic and polar beads are attracted to the surface.
The phase diagram for a ring polymer under applied force, with variable
solvent quality, is determined for the first time. The effect, on the phase diagram,
of topological knots in the ring polymer is investigated. In addition to eliminating
pseudophases where the polymer is flattened into a single layer, it is found that
non-trivial knots result in additional pseudophases for tensile force.
|Item Type:||Thesis or Dissertation (PhD)|
|Subjects:||Q Science > QC Physics|
|Library of Congress Subject Headings (LCSH):||Lattice theory, Monte Carlo method, Polymers -- Mathematical models|
|Official Date:||June 2011|
|Institution:||University of Warwick|
|Theses Department:||Department of Physics|
|Supervisor(s)/Advisor:||Allen, M. P.|
|Sponsors:||Engineering and Physical Sciences Research Council (EPSRC)|
|Extent:||xii, 117 leaves : ill., charts|
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