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Jinky Bornales

Publications and source records attributed to Jinky Bornales.

5 recordsLinked to original sources
arXiv2019

Dynamical Properties of Gaussian Chains and Rings with Long Range Interactions

Various authors have invoked discretized fractional Brownian (fBm) motion as a model for chain polymers with long range interaction of monomers along the chain. We show that for these, in contrast to the Brownian case, linear forces are acting between all pairs of constituents, attractive for small Hurst index H and mostly repulsive when H is larger than 1/2. In the second part of this paper we extend this study to periodic fBm and related models with a view to ring polymers with long range interactions.

math-ph↗
arXiv2015

Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension

We use an off-lattice discretization of fractional Brownian motion and a Metropolis Algorithm to determine the asymptotic scaling of this discretized fractional Brownian motion under the influence of an excluded volume as in the Edwards and Domb-Joyce models. We find a good agreement between the Flory index describing the scaling of end-to-end length with a mean field formula proposed earlier for this class of models.

physics.comp-ph↗