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20062011
most citedNonlinear Euler buckling

96 citations

Showing 2009Show all

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math-ph2009

Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires

Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A. Nicolleau +2

Many systems in nature have arborescent and bifurcated structures such as trees, fern, snails, lungs, the blood vessel system, etc. and look self-similar over a wide range of scale…

physics.plasm-ph2009

First Step in Theoretical Approach in Study of Mars and Titan Atmospheres with an Inductively Coupled Plasma Torch

Pascal Andre, Stéphane Clain, Michel Dudeck +4

To obtain the modelling of an ICP torch that can be used as a test case, we have to determine all the thermodynamic properties and transport coefficients. To calculate the data we…

math.SP20093 cited

Analysis of the Vibrational Mode Spectrum of a Linear Chain with Spatially Exponential Properties

Thomas Michelitsch, Gérard A. Maugin, Andrzej. F. Nowakowski +1

We deduce the dynamic frequency-domain-lattice Green's function of a linear chain with properties (masses and next-neighbor spring constants) of exponential spatial dependence. We…

math-ph200927 cited

Dispersion Relations and Wave Operators in Self-Similar Quasi-Continuous Linear Chains

Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A Nicolleau +2

We construct self-similar functions and linear operators to deduce a self-similar variant of the Laplacian operator and of the D'Alembertian wave operator. The exigence of self-sim…

cond-mat.stat-mech200949 cited

Anomalous diffusion mediated by atom deposition into a porous substrate

Pascal Brault, Christophe Josserand, Jean-Marc Bauchire +3

Constant flux atom deposition into a porous medium is shown to generate a dense overlayer and a diffusion profile. Scaling analysis shows that the overlayer acts as a dynamic contr…