51 citations · 69 across the 7 of their papers we have counts for
7 papers
Screening properties of Gaussian electrolyte models, with application to dissipative particle dynamics
Patrick B. Warren, Andrey Vlasov, Lucian Anton +1
We investigate the screening properties of Gaussian charge models of electrolyte solutions by analysing the asymptotic behaviour of the pair distribution functions. We use a combin…
Generating Function for Particle-Number Probability Distribution in Directed Percolation
Lucian Anton, Hyunggyu Park, Su-Chan Park
We derive a generic expression for the generating function (GF) of the particle-number probability distribution (PNPD) for a simple reaction diffusion model that belongs to the dir…
Approach to Asymptotic Behaviour in the Dynamics of the Trapping Reaction
Lucian Anton, Alan J. Bray
We consider the trapping reaction A + B -> B in space dimension d=1, where the A and B particles have diffusion constants D_A, D_B respectively. We calculate the probability, Q(t),…
Pattern formation in a metastable, gradient-driven sandpile
Lucian Anton, Hendrik B. Geyer
With a toppling rule which generates metastable sites, we explore the properties of a gradient-driven sandpile that is minimally perturbed at one boundary. In two dimensions we fin…
Noncollapsing solution below r_c for a randomly forced particle
L. Anton
We show that a noncollapsing solution below r_c can be constructed for the dynamics of randomly forced particle interacting with a dissipative boundary. The scaling analysis predic…
Time inhomogeneous Fokker-Plank equation for wave distributions in the Abelian sandpile model
L. Anton
The time and size distribution of the waves of topplings in the Abelian sandpile model are expressed as the first arrival at the origin distribution for a scale invariant, time inh…