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- C J Boulter, G. Wilson Miller
- Physical review. E, Statistical, nonlinear, and…
- 2003

We use extensive numerical simulations to test recent claims of universality in the nonconservative regime of the Olami-Feder-Christensen model. By studying larger systems and a wider range of dissipation levels than previously considered we conclude that there is no evidence of universality in the model with only limited regions of the event size… (More)

- G. Wilson Miller, C J Boulter
- Physical review. E, Statistical, nonlinear, and…
- 2002

The Olami-Feder-Christensen model is a simple lattice based cellular automaton model introduced as a prototype to study self-organization in systems with a continuous state variable. Despite its simplicity there remains controversy over whether the system is truly critical in the nonconservative regime. Here we address this issue by introducing the layer… (More)

- G. Wilson Miller, C J Boulter
- Physical review. E, Statistical, nonlinear, and…
- 2003

The avalanche size distribution and supercritical toppling value distribution in the Olami-Feder-Christensen model are examined, demonstrating that there exists a crossover value alpha(X) approximately 0.14 for the conservation parameter in the model. We have further confirmed the location of this crossover by identifying upper and lower bounds for… (More)

- F Clarysse, C J Boulter
- Physical review. E, Statistical, nonlinear, and…
- 2001

An extensive study of the effect of fluctuations on the unbinding of an interface from a wall in a ternary system is presented. The framework upon which the analysis is based is a linear functional renormalization group scheme of the appropriate effective interface Hamiltonian. The interface model includes position-dependent gradient coefficients, and their… (More)

- C J Boulter, F Clarysse
- Physical review. E, Statistical physics, plasmas…
- 1999

The wetting behavior of a ternary mixture of oil, water, and amphiphile in the presence of a surface is studied. An interface model carefully derived from an underlying Ginzburg-Landau theory is introduced, which contains position dependent rigidity and stiffness coefficients. Using this model we predict a rich surface phase diagram containing thin-thick,… (More)

- C J Boulter, G. Wilson Miller
- Physical review. E, Statistical, nonlinear, and…
- 2005

We propose that an appropriate prototype for modeling self-organized criticality in dissipative systems is a generalized version of the two-variable cellular automata model introduced by Hergarten and Neugebauer [Phys. Rev. E 61, 2382 (2000)]. We show that the model predicts exponents for the event size distribution which are consistent with physically… (More)

- F Clarysse, C J Boulter
- Physical review. E, Statistical, nonlinear, and…
- 2002

In this paper we determine the wetting phase diagram for three-dimensional systems with short-range forces assuming the presence of a position-dependent stiffness contribution as recently proposed [M.E. Fisher and A.J. Jin, Phys. Rev. Lett. 69, 792 (1992)]. We predict a discontinuous transformation of the phase diagram immediately upon moving beyond the… (More)

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