ReptaÃÃo de um fio em uma cavidade bidimensional

AUTOR(ES)

Antonio CÃsar do Prado Rosa Junior

DATA DE PUBLICAÇÃO

2007

RESUMO

The term âreptationâ is associated with the type of movement executed for reptiles, specifically the serpents, being used to describe the object diffusion with the topology of the line. The reptation of a wire injected in a cavity is studied through measures of the average quadratic displacement of a point of the wire, in function of the length h injected. The thickness of the wire is z = 0.1 cm and, the chosen point corresponds to the center of mass in a dimension (CM1D), also called for topological central point. The cavity is to circulate with ray R = 10 cm and of little bigger thickness that z, of form to allow the existence of only one wire layer in the socket. The wire is injected manually to the speed uniform, for two canals made use in angle of 180Â. Experiments with copper wires had been carried through, Sn0,60Pb0,40 (electric weld), aluminum, brass, nylon and hard steel. The measures show that (except for wires of nylon and hard steel) passes for a transient regime in third initial of the experiment, and for âalmoststeadyâ regime in the remaining time, on account of the confinement of the CM1D. Being felt inspired in the model of Flory for polymers, we develop a model of average field where the central point is described for a subject particle the two potentials that simulate interactions of self-exclusion, the influence of the border and the fluctuations due to the mechanical properties of the wire and to the inherent noise to the wrapping up process. The scale law r ~ h 1/5 foreseen by the model, is evaluated on the basis of the experimental results. Finally, the results gotten for the weld wire indicate an intermediate behavior enter the dynamic of reptation of Rouse and of de Gennes

ASSUNTO(S)

selfexclusion autoexclusÃo flory scale laws deslocamento quadrÃtico mÃdio wrapping up processes reptation of wires flory processos de empacotamento leis de escala average quadratic displacement fisica reptaÃÃo de fios

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