arXiv subjects

Nicolas Vandewalle

Publications and source records attributed to Nicolas Vandewalle.

40 records · Page 3Linked to original sources

arXiv2004

Multiscale Modeling of Peritectic Reaction Growth

Peritectic growth of bulk superconducting cuprate perovskite, like YBa2Cu3O7-x has been studied. The microstructure features are recalled. The simplest model giving the best description of the microstructure complexity at the mesoscopic scale is an Eden model adapted to chemical reactions. A repulsive dynamical interaction between the front and the solid 211 particles, rejected by the solidifying matrix, is also taken into account. A growth probability-with chemical reaction and pushing-transfer matrix method is developed. The simulations put into evidence the effect of the initial 211 size distribution on the microstructure.

cond-mat.mtrl-sci↗

arXiv2002

A 1-d Ising model for ripple formation

A 1-d Ising model is shown to reproduce qualitatively the dynamics of ripple formation. Saltation effect is imposed using a Kawasaki dynamics and a pair interaction over some distance l. Within this model, the ripple state turns out to be metastable in agreement with cellular automata simulations as well as recent under water experiments. A dynamical phase diagram is obtained. A mean-field solution of the problem is given in terms of the ripple size. A mapping is then performed onto a 2-dimensional l x infinity static problem.

cond-mat.dis-nn↗

arXiv2000

Taxonomy of Stock Market Indices

We investigate sets of financial non-redundant and nonsynchronously recorded time series. The sets are composed by a number of stock market indices located all over the world in five continents. By properly selecting the time horizon of returns and by using a reference currency we find a meaningful taxonomy. The detection of such a taxonomy proves that interpretable information can be stored in a set of nonsynchronously recorded time series.

cond-mat.stat-mech↗

arXiv1999

A new conjecture extends the GM law for percolation thresholds to dynamical situations

The universal law for percolation thresholds proposed by Galam and Mauger (GM) is found to apply also to dynamical situations. This law depends solely on two variables, the space dimension d and a coordinance numberq. For regular lattices, q reduces to the usual coordination number while for anisotropic lattices it is an effective coordination number. For dynamical percolation we conjecture that the law is still valid if we use the number q_2 of second nearest neighbors instead of q. This conjecture is checked for the dynamic epidemic model which considers the percolation phenomenon in a mobile disordered system. The agreement is good.

cond-mat.dis-nn↗