A Fracture Growth ModelHinrichsen, E. L.; Hansen, A.; Roux, S.
doi: 10.1209/0295-5075/8/1/001pmid: N/A
We study numerically a model for localized growth of a rupture in an elastic network. The model studied is the vector equivalent of the dielectric breakdown model (analogous to DLA). We find that the clusters of broken bonds are self-affine, and can be characterized by a fractal dimension of D = 1.25, even though we argue that the full inertia tensor must be used to understand the anisotropy of the structures. We have also studied the elastic properties of the samples as the cluster grows, and we find a power-law behaviour in the deviation of the elastic constant from its initial value with respect to the number of broken bonds. A corresponding power-law is also found in the scalar model.
Localization Transition of Random Chains at InterfacesGarel, T.; Huse, D. A.; Leibler, S.; Orland, H.
doi: 10.1209/0295-5075/8/1/002pmid: N/A
We consider a simple model of a random chain at an interface between two fluids, and suppose that its monomers have random affinities with both fluids (e.g., a Gaussian distribution with mean value 0). Simple statistical arguments and replica theory lead to the prediction of a localization transition of the chain (for the generic case of nonzero 0). This transition separates a low-temperature phase, in which the random chain is localized at the interface, from a high-temperature phase in which it is delocalized in one solvent. This physical picture is qualitatively confirmed by numerical studies.
Decomposition of La-TM Alloys by Ball MillingLoeff, P. I.; Bakker, H.
doi: 10.1209/0295-5075/8/1/007pmid: N/A
We report the results of the ball milling of several La-TM alloys (TM = Ag, Ni, Co). In contrast to the La-Au system the grinding of the intermetallic compounds does not result in the expected amorphous phase, but appears to decompose the alloys into the elemental constituents. A tentative explanation of the phenomenon is given in terms of energy absorption and the thermodynamics of the various systems.
Multicritical Behaviour in Binary Fluid ConvectionSchöpf, W.; Zimmermann, W.
doi: 10.1209/0295-5075/8/1/008pmid: N/A
The nonlinear coefficients of the amplitude equations for the stationary pattern, the travelling waves, and the standing waves are calculated for the first time rigorously for binary fluid mixtures with realistic boundary conditions. We find that the travelling-wave pattern bifurcates subcritically except in the immediate vicinity of the codimension-2 point and has a larger amplitude than standing waves. The tricritical points for the stationary pattern and the travelling waves lie always at negative values for the separation ratio with the codimension-2 point between them. In the limit of small Lewis numbers both tricritical points and the codimension-2 point converge to the interesting, highly degenerate point = 0.