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19982026
most citedEffect of disorder on quantum phase transitions in anisotropic XY spin chains in a transverse field

102 citations · 246 across the 25 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.DS2013

Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations

J. E. Bunder, A. J. Roberts

Coarse grained, macroscale, spatial discretisations of nonlinear nonautonomous partial differential\difference equations are given novel support by centre manifold theory. Dividing…

math.DS2013★ 1 cited

Better buffers for patches in macroscale simulation of systems with microscale randomness

J. E. Bunder, A. J. Roberts, I. G. Kevrekidis

We consider one dimensional lattice diffusion model on a microscale grid with many discrete diffusivity values which repeat periodicially. Computer algebra explores how the dynamic…