Xavier Durang

Spherical model of growing interfaces

Building on an analogy between the ageing behaviour of magnetic systems and growing interfaces, the Arcetri model, a new exactly solvable model for growing interfaces is introduced, which shares many properties with the kinetic spherical model. The long-time behaviour of the interface width and of the two-time correlators and responses is analysed. For all dimensions

The statistical mechanics of the coagulation–diffusion process with a stochastic reset

d\ne 2

Exact correlations in the one-dimensional coagulation–diffusion process investigated by the empty-interval method

, universal characteristics distinguish the Arcetri model from the Edwards-Wilkinson model, although for

Overdamped limit and inverse-friction expansion for Brownian motion in an inhomogeneous medium.

d>2

Exact two-time correlation and response functions in the one-dimensional coagulation–diffusion process by the empty-interval method

all stationary and non-equilibrium exponents are the same. For

Ageing in bosonic particle-reaction models with long-range transport

d=1

Exactly solvable models of growing interfaces and lattice gases: the Arcetri models, ageing and logarithmic sub-ageing

dimensions, the Arcetri model is equivalent to the

Faster Is More Different: Mean-Field Dynamics of Innovation Diffusion

p=2

Crossover between diffusion-limited and reaction-limited regimes in the coagulation–diffusion process

spherical spin glass. For

The overdamped limit for the Brownian motion in an inhomogeneous medium

2<d<4