105 citations · 629 across the 35 of their papers we have counts for
16 papers · 1 filter
Time Reversal of the Overdamped Langevin Equation and Fixman's Law
Robin C. Ball, Oliver T. Dyer
We discuss how the first order Langevin equation for the overdamped dynamics of an interacting system has a natural time reversal of simple but surprising form, with consequences f…
Critical Dynamical Exponent of the Two-Dimensional Scalar Model with Local Moves
Wei Zhong, Gerard T. Barkema, Debabrata Panja +1
We study the scalar one-component two-dimensional (2D) model by computer simulations, with local Metropolis moves. The equilibrium exponents of this model are well-establishe…
Generalised Langevin Equation Formulation for Anomalous Diffusion in the Ising Model at the Critical Temperature
Wei Zhong, Debabrata Panja, Gerard T. Barkema +1
We consider the two- (2D) and three-dimensional (3D) Ising model on a square lattice at the critical temperature , under Monte-Carlo spin flip dynamics. The bulk magnetisation…
A nonlinear least squares method for the inverse droplet coagulation problem
Peter P. Jones, Robin C. Ball, Colm Connaughton
If the rates, , at which particles of size coalesce with particles of size is known, then the mean-field evolution of the particle-size distribution of an ensemble…
Scale invariant growth processes in expanding space
Adnan Ali, Robin C. Ball, Stefan Grosskinsky +1
Many growth processes lead to intriguing stochastic patterns and complex fractal structures which exhibit local scale invariance properties. Such structures can often be described…
Collective oscillations in driven coagulation
Robin C. Ball, Colm Connaughton, Peter P. Jones +2
We present a novel form of collective oscillatory behavior in the kinetics of irreversible coagulation with a constant input of monomers and removal of large clusters. For a broad…
The shape of a ponytail and the statistical physics of hair fiber bundles
Raymond E. Goldstein, Patrick B. Warren, Robin C. Ball
A general continuum theory for the distribution of hairs in a bundle is developed, treating individual fibers as elastic filaments with random intrinsic curvatures. Applying this f…
Anisotropic diffusion limited aggregation in three dimensions - universality and non-universality
Nicholas R. Goold, Ellak Somfai, Robin C. Ball
We explore the macroscopic consequences of lattice anisotropy for Diffusion Limited Aggregation (DLA) in three dimensions. Simple cubic and BCC lattice growths are shown to approac…
Off-lattice Noise Reduced Diffusion-limited Aggregation in Three Dimensions
Neill E. Bowler, Robin C. Ball
Using off-lattice noise reduction it is possible to estimate the asymptotic properties of diffusion-limited aggregation clusters grown in three dimensions with greater accuracy tha…
Growth by Random Walker Sampling, and Scaling of the Dielectric Breakdown Model
Ellak Somfai, Nicholas R. Goold, Robin C. Ball +2
Random walkers absorbing on a boundary sample the Harmonic Measure linearly and independently: we discuss how the recurrence times between impacts enable non-linear moments of the…
Diffusion-limited aggregation in channel geometry
Ellak Somfai, Robin C. Ball, Jason P. DeVita +1
We performed extensive numerical simulation of diffusion-limited aggregation in two dimensional channel geometry. Contrary to earlier claims, the measured fractal dimension D = 1.7…
From Plasticity to a Renormalisation Group
R. C. Ball, R. Blumenfeld
The Marginally Rigid State is a candidate paradigm for what makes granular material a state of matter distinct from both liquid and solid. Coordination number is identified as a di…
Stochastic Annealing
Robin C. Ball, Thomas M. A. Fink, Neill E. Bowler
We demonstrate that is it possible to simulate a system in thermal equilibrium even when the energy cannot be evaluated exactly, provided the error distribution is known. This lead…
Correction to scaling analysis of diffusion-limited aggregation
Ellak Somfai, Robin C. Ball, Neill E. Bowler +1
Diffusion-limited aggregation is consistent with simple scaling. However, strong subdominant terms are present, and these can account for various earlier claims of anomalous scalin…
Off-lattice noise reduction and the ultimate scaling of DLA in two dimensions
Robin C. Ball, Neill E. Bowler, Leonard M. Sander +1
Off-lattice DLA clusters grown with different levels of noise reduction are found to be consistent with a simple fractal fixed point. Cluster shapes and their ensemble variation ex…
Dynamics of Granular Stratification
Hernan A. Makse, Robin C. Ball, H. Eugene Stanley +1
Spontaneous stratification in granular mixtures has been recently reported by H. A. Makse et al. [Nature 386, 379 (1997)]. Here we study experimentally the dynamical processes lead…