Do there exist turbulent crystals ?
CRISTAUX
TURBULENCE
Abstract : We discuss the possibility that, besides periodic and quasiperiodic crystals, there exist turbulent crystals as thermodynamic equilibrium states at non-zero temperature. Turbulent crystals would not be invariant under translation, but would differ from other crystals by the fuzziness of some diffraction peaks. Turbulent crystals could appear by breakdown of long range order in quasiperiodic crystals with two independent modulations.
RUELLE
P/82/02
IHES
01/1982
A4
6 f.
EN
TEXTE
PREPUBLICATION
P_82_02.pdf
1982
On the Measures which describe turbulence
TURBULENCE
HYDRODYNAMIQUE
THEORIE ASYMPTOTIQUE
HEURISTIQUE
Abstract : One expects that the average behavior (over large times) for hydordynamics and other natural phenomena is described by certain asymptotic measures on phase space. If initial conditions in a set of zero Lebesgu measure ar discarded, the asymptotic measures can be characterized on the basis of heuristic arguments. The requirement of stability under small stochastic perturbations produces measures with the same characterizations. We give here a critical discussion of the heuristic arguments and of the possible use of the characterizations of the asymptotic measures in the study of turbulence.
RUELLE
P/78/245
IHES
11/1978
A4
13 f.
EN
TEXTE
PREPUBLICATION
P_78_245.pdf
1978