Publications (14)
The Aggregation Kinetics of a Simulated Telechelic Polymer
Mark Wilson, Avinoam Rabinovitch, Arlette R. C. Baljon
We investigate the aggregation kinetics of a simulated telechelic polymer gel. In the hybrid Molecular Dynamics (MD) / Monte Carlo (MC) algorithm, aggregates of associating end gro…
Modeling vitreous silica bilayers
Mark Wilson, Avishek Kumar, David Sherrington +1
We computer model a free-standing vitreous silica bilayer which has recently been synthesized and characterized experimentally in landmark work. Here we model the bilayer using a c…
Asymptotics of multivariate sequences, II: multiple points of the singular variety
Robin Pemantle, Mark Wilson
We consider a multivariate generating function F(z), whose coefficients are indexed by d-tuples of nonnegative integers: F(z) = sum_r a_r z^r where z^r denotes the product of z_j^{…
Exploring the configurational space of amorphous graphene with machine-learned atomic energies
Zakariya El-Machachi, Mark Wilson, Volker L. Deringer
Two-dimensionally extended amorphous carbon ("amorphous graphene") is a prototype system for disorder in 2D, showing a rich and complex configurational space that is yet to be full…
Topological changes at the jamming and gel transition of a reversible polymeric network
Joris Billen, Mark Wilson, Avinoam Rabinovitch +1
We investigate the network topologies of an ensemble of telechelic polymers. The telechelic polymers serve as links between nodes, which consist of aggregates of their telechelic e…
Asymptotic expansions of oscillatory integrals with complex phase
Robin Pemantle, Mark Wilson
We consider saddle point integrals in d variables whose phase function is neither real nor purely imaginary. Results analogous to those for Laplace (real phase) and Fourier (imagin…