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- Gilbert Albinet, C. D. Mitescu
- 2016

2014 We calculate the a.c. frequency response of Sierpinski-gasket networks, in which the bonds consist of resistors R (or of impedances Zh) and all nodes are connected to the circuit ground by identical capacitors C (or by impedances Zv). The resulting complex, size-dependent admittance between any of the « principal » nodes and the circuit ground can be… (More)

- Gilbert Albinet
- 2011

A hierarchical lattice model for a disordered two-component one-dimensional harmonic chain with three force constants, corresponding to the three possible pairs of nearest neighbors, is studied. Differences of as little as 20% between the various force constants can appreciably modify the density of states. These changes in the spectrum allow one to roughly… (More)

Binary disordered systems are usually obtained by mixing two ingredients in variable proportions: conductor and insulator, or conductor and super-conductor. They present very specific properties, in particular the second-order percolation phase transition, with its fractal geometry and the multi-fractal properties of the current moments. These systems are… (More)

- Ligban RAYMOND, Gilbert Albinet, A-M S Tremblay
- Physical review letters
- 2006

In a recent Letter, Toader et al. [1] claimed to provide definitive experimental evidence for ring-exchange terms in the Hamiltonian of La2CuO4 by comparing the experimental antiferromagnetic static spin structure factor S Q with high-temperature series expansion. Ring-exchange terms arise at intermediate coupling in the effective lowenergy theory for the… (More)

Sample to sample fluctuations ofthe multifractal moments of percolating randomresistor networks are studied via Monte Carlo simulations. For systems of sire L, these fluctuations depend on ~hp, the deviation from the critical concentration, only through the scaled variable ~hpL~'~. At ~hp = 0, these fluctuations depend on h, the ratio of the good and bad… (More)

- Gilbert Albinet
- 2002

Sample to sample fluctuations ofthe multifractal moments of percolating randomresistor networks are studied via Monte Carlo simulations. For systems of sire L, these fluctuations depend on ~hp, the deviation from the critical concentration, only through the scaled variable ~hpL~'~. At ~hp = 0, these fluctuations depend on h, the ratio of the good and bad… (More)

- Caroline M. Lambert, P. Lauque, +4 authors Philippe Knauth
- Chemphyschem : a European journal of chemical…
- 2002

We describe a two-dimensional (2D) and a three-dimensional (3D) percolation model for ionic conductor-insulator composites such as copper(I) bromide-titanium dioxide (CuBr-TiO2) or lithium iodidealumina (LiI-Al2O3). These composites present an enhanced conductivity closely related to the insulator concentration. This effect is explained by the formation of… (More)

- Gilbert Albinet
- 2011

A model which describes the competition between chain melting and orientational ordering in a monomolecular layer of long-chain amphiphilic molecules is studied. This model is analogous to the Berker-Cardy-Nelson-Scalapino model for phase transitions in films of 'HeHe mixtures. Their Midgal-Kadanoff renormalization-group approach is applied to the present… (More)

2014 The propagation of a front (we use the model of a forest fire) in a bidimensional random lattice is studied for several different types of interactions. We obtain the corresponding critical concentrations and critical exponents calculated by means of the finite size scaling conjecture. These exponents are expressed in terms of the fractal dimension of… (More)