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Instabilités et dynamiques de particules en interaction dans un système quasi-unidimensionnel.

Abstract : In this thesis, we exhibit a precise theoretical and numerical description of quasi-unidimensionnal systems of particles in interaction. Here we look for the equilibrium configurations taken by the system as the confinement varies, showing that the structural transition leading the system from a line toward a staggered row might change of characteristics and pass from supercritical to subcritical. The origin of this modification is pointed out as well as the quantitative description of new equilibrium configuration presenting a phase coexistence between line and zigzag domains. The dynamic of these structures is then developed through a description of their behavior as the diffusion of an effective particle along a periodic potential specific to the discrete character of the system. To go beyond we consider the possibility to observe several structures in a same system and we describe acutely the interaction between structures which can be either attractive or repulsive according to the topology of the configuration. Finally the careful study of the vibrational eigenmodes of the configurations lead to a description of the critical behavior of transverse fluctuations close to the transition threshold between equilibrium configurations. This description according to vibrational eigenmodes prove to be useful to describe simply the diffusion of a chain of particle along a periodic potential and to describe quantitatively their coupling.
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Contributor : Christophe Coste Connect in order to contact the contributor
Submitted on : Monday, November 28, 2016 - 4:30:15 PM
Last modification on : Thursday, March 4, 2021 - 5:21:14 PM
Long-term archiving on: : Tuesday, March 21, 2017 - 11:35:01 AM


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  • HAL Id : tel-01404418, version 1


Tommy Dessup. Instabilités et dynamiques de particules en interaction dans un système quasi-unidimensionnel.. Physique [physics]. Université Paris 7 - Denis Diderot, 2016. Français. ⟨tel-01404418⟩



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