arXiv subjects

Antonio Coniglio

Publications and source records attributed to Antonio Coniglio.

56 records · Page 4Linked to original sources

arXiv1994

Scaling and Crossover in the Large-N Model for Growth Kinetics

The dependence of the scaling properties of the structure factor on space dimensionality, range of interaction, initial and final conditions, presence or absence of a conservation law is analysed in the framework of the large-N model for growth kinetics. The variety of asymptotic behaviours is quite rich, including standard scaling, multiscaling and a mixture of the two. The different scaling properties obtained as the parameters are varied are controlled by a structure of fixed points with their domains of attraction. Crossovers arising from the competition between distinct fixed points are explicitely obtained. Temperature fluctuations below the critical temperature are not found to be irrelevant when the order parameter is conserved. The model is solved by integration of the equation of motion for the structure factor and by a renormalization group approach.

cond-mat↗

arXiv1993

Localization of Growth Sites in DLA Clusters: Multifractality and Multiscaling

The growth of a diffusion limited aggregation (DLA) cluster with mass $M$ and radius of gyration $R$ is described by a set of growth probabilities $\{ p_i\}$, where $p_i$ is the probability that the perimeter site $i$ will be the next to grow. We introduce the joint distribution $N(α, x, M)$, where $N(α,x,M)dαdx$ is the number of perimeter sites with $α$-values in the range $α\le α_i \le α+dα$ (``$α$-sites'') and located in the annulus [x, x+dx] around the cluster seed. Here, $α_i \equiv -\ln p_i / \ln R$ if $p_i>0$, $x\equiv r_i/R$, and $r_i$ is the distance of site $i$ from the seed of the DLA cluster. We use $N(α,x,M)$ to relate multifractal and multiscaling properties of DLA. In particular, we find that for large $M$ the location of the $α$-sites is peaked around a fixed value $\bar x(α)$; in contrast, the perimeter sites with $p_i=0$ are uniformly distributed over the DLA cluster.

cond-mat↗