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pro vyhledávání: '"WHITTINGTON, S"'
Autor:
Whittington, S G
We prove several rigorous results about the asymptotic behaviour of the numbers of polygons and self-avoiding walks confined to a square on the square lattice. Specifically we prove that the dominant asymptotic behaviour of polygons confined to an Lx
Externí odkaz:
http://arxiv.org/abs/2211.16287
Publikováno v:
J Phys A: Math Theor 54 405001 (2021)
We consider the probability of knotting in equilateral random polygons in Euclidean 3-dimensional space, which model, for instance, random polymers. Results from an extensive Monte Carlo dataset of random polygons indicate a universal scaling formula
Externí odkaz:
http://arxiv.org/abs/2108.07197
Akademický článek
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We consider self-avoiding walks terminally attached to a surface at which they can adsorb. A force is applied, normal to the surface, to desorb the walk and we investigate how the behaviour depends on the vertex of the walk at which the force is appl
Externí odkaz:
http://arxiv.org/abs/1905.02489
We investigate the phase diagram of a self-avoiding walk model of a 3-star polymer in two dimensions, adsorbing at a surface and being desorbed by the action of a force. We show rigorously that there are four phases: a free phase, a ballistic phase,
Externí odkaz:
http://arxiv.org/abs/1902.07169
We consider a simple cubic lattice self-avoiding walk model of 3-star polymers adsorbed at a surface and then desorbed by pulling with an externally applied force. We determine rigorously the free energy of the model in terms of properties of a self-
Externí odkaz:
http://arxiv.org/abs/1712.06379
Publikováno v:
Journal of Physics A: Mathematical & Theoretical; 12/4/2024, Vol. 57 Issue 48, p1-24, 24p
Akademický článek
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We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer can be desorbed by the application of a force. In this paper the force is applied normal to the surface at the last vertex of the walk. We prove that the appropri
Externí odkaz:
http://arxiv.org/abs/1307.6457
Autor:
Brak, R., Dyke, P., Lee, J., Owczarek, A. L., Prellberg, T., Rechnitzer, A., Whittington, S. G.
We consider a directed walk model of a homopolymer (in two dimensions) which is self-interacting and can undergo a collapse transition, subject to an applied tensile force. We review and interpret all the results already in the literature concerning
Externí odkaz:
http://arxiv.org/abs/0811.1392