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pro vyhledávání: '"van Rensburg, A Janse"'
We investigate a lattice model of comb polymers and derive bounds on the exponential growth rate of the number of embeddings of the comb. A comb is composed of a backbone that is a self-avoiding walk and a set of $t$ teeth, also modelled as mutually
Externí odkaz:
http://arxiv.org/abs/2407.21112
Autor:
Bradly, CJ, van Rensburg, EJ Janse
Polymers in confined spaces are compressed and have reduced conformational entropy, and will partially or fully escape from confinement if conditions are suitable. This is in particular the case for a polymer grafted in a pore. The escape of the poly
Externí odkaz:
http://arxiv.org/abs/2405.20103
We investigate a lattice model of comb copolymers that can adsorb at a surface and that are subject to a force causing desorption. The teeth and the backbone of the comb are chemically distinct and can interact differently with the surface. That is,
Externí odkaz:
http://arxiv.org/abs/2311.09320
Autor:
van Rensburg, EJ Janse
The distribution of monomers in a coating of grafted and adsorbing polymers is modelled using a grafted staircase polygon in the square lattice. The adsorbing staircase polygon consists of a bottom and a top lattice path (branches) and the asymptotic
Externí odkaz:
http://arxiv.org/abs/2304.13562
Autor:
van Rensburg, EJ Janse
A linear polymer grafted to a hard wall and underneath an AFM tip can be modelled in a lattice as a grafted lattice polymer (or self-avoiding walk) compressed underneath a piston approaching the wall. As the piston approaches the wall the increasingl
Externí odkaz:
http://arxiv.org/abs/2301.12446
Autor:
van Rensburg, EJ Janse
The distribution of monomers along a linear polymer grafted on a hard wall is modelled by determining the probability distribution of occupied vertices of Dyck and ballot path models of adsorbing linear polymers. For example, the probability that a D
Externí odkaz:
http://arxiv.org/abs/2208.08885
Two ring polymers close to each other in space may be either in a segregated phase if there is a strong repulsion between monomers in the polymers, or intermingle in a mixed phase if there is a strong attractive force between the monomers. These phas
Externí odkaz:
http://arxiv.org/abs/2206.15327
Autor:
van Rensburg, EJ Janse
The surface entropic exponents of half-space lattice stars grafted at their central nodes in a hard wall are estimated numerically using the PERM algorithm. In the square half-lattice the exact values of the exponents are verified, including Barber's
Externí odkaz:
http://arxiv.org/abs/2206.11353
Autor:
Groenewald, Gilbert, van Rensburg, Dawie Janse, Ran, Andre, van Straaten, Madelein, Theron, Frieda
Let $\mathbb{H}$ be a field with $\mathbb{Q}\subset\mathbb{H}\subset\mathbb{C}$, and let $p(\lambda)$ be a polynomial in $\mathbb{H}[\lambda]$, and let $A\in\mathbb{H}^{n\times n}$ be nonderogatory. In this paper we consider the problem of finding a
Externí odkaz:
http://arxiv.org/abs/2205.15682
Neural networks have been criticised for their inability to perform continual learning due to catastrophic forgetting and rapid unlearning of a past concept when a new concept is introduced. Catastrophic forgetting can be alleviated by specifically d
Externí odkaz:
http://arxiv.org/abs/2205.06376