Showing 1 - 9 of 9
A system with a short-range attraction and a competing long-range screened repulsion is studied by using the self-consistent Hartree approximation and a replica approach. It is shown that by varying the parameters of the repulsive potential and the temperature yields a phase coexistence, a...
Persistent link: https://www.econbiz.de/10010874955
A system under gravity, made up of hard spheres with an internal degree of freedom, is studied on a 3d lattice under a Monte Carlo “tap” dynamics. A “jamming” transition similar to that found in real experiment is found. To understand the nature of such transition a simplified version of...
Persistent link: https://www.econbiz.de/10011061130
We present a numerical study of autocorrelation functions of a 3D fully frustrated Ising model (FFIM) simulated by spin-flip Monte-Carlo dynamics finding simple exponential decay for all the temperature above the critical temperature Tc for the autocorrelation of squared magnetization and...
Persistent link: https://www.econbiz.de/10011061836
In the late stage dynamics of systems evolving via domain coarsening, the linear response function splits into the sum of a stationary term, due to thermal fluctuations within domains, and of an aging term due to off-equilibrium interface dynamics. The latter contribution is analyzed in the pure...
Persistent link: https://www.econbiz.de/10010588701
A q-state frustrated Potts model is introduced which generalizes the Kasteleyn-Fortuin formalism to frustrated systems. For q = 2 the Ising spin is recovered. For q = 1 it gives the frustrated percolation model, which combines frustration and connectivity features and might be relevant to...
Persistent link: https://www.econbiz.de/10010873994
We describe the contact network of granular packings by a frustrated lattice gas that contains steric frustration as esential ingredient. Two transitions are identified, a spin glass transition at the onset of Reynolds dilatancy and at lower densities a percolation transition. We describe the...
Persistent link: https://www.econbiz.de/10010874854
We propose a new model of cluster growth according to which the probability that a new unit is placed in a point at a distance r from the city center is a Gaussian with mean equal to the cluster radius and variance proportional to the mean, modulated by the local density ρ(r). The model is...
Persistent link: https://www.econbiz.de/10011058250
The purpose of this talk is to present a brief overview of our group's recent research into dynamic mechanisms of disorderly growth, an exciting new branch of condensed matter physics in which the methods and concepts of modern statistical mechanics are proving to be useful. Our strategy has...
Persistent link: https://www.econbiz.de/10011058824
Critical fluctuations, growth or disorder can produce fractal structures which have unusual physical properties due to their scale invariance. Particularly interesting are the so called multifractals measures that can exist on these fractals. We will introduce the concept of multifractals and...
Persistent link: https://www.econbiz.de/10011063865