منابع مشابه
Windings of the 2D free Rouse chain
We study long time dynamical properties of a chain of harmonically bound Brownian particles. This chain is allowed to wander everywhere in the plane. We show that the scaling variables for the occupation times Tj, areas Aj and winding angles θj (j = 1, . . . , n labels the particles) take the same general form as in the usual Brownian motion. We also compute the asymptotic joint laws P ({Tj}), ...
متن کاملStatistical properties of the 2 D attached Rouse chain
We study various dynamical properties (winding angles, areas) of a set of harmonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that, for long times t, the areas {Ai} enclosed by the monomers scale like t1/2, with correlated gaussian distributions. This is at variance with the winding angles {θi} around fixed points...
متن کاملAsymptotics for the survival probability of a Rouse chain monomer
Abstract. We study the long-time asymptotical behavior of the survival probability Pt of a tagged monomer of an infinitely long Rouse chain in presence of two fixed absorbing boundaries, placed at x = ±L. Mean-square displacement of a tagged monomer obeys X2(t) ∼ t at all times, which signifies that its dynamics is an anomalous diffusion process. Constructing lower and upper bounds on Pt, which...
متن کاملdetermination of maximal singularity free zones in the workspace of parallel manipulator
due to the limiting workspace of parallel manipulator and regarding to finding the trajectory planning of singularity free at workspace is difficult, so finding a best solution that can develop a technique to determine the singularity-free zones in the workspace of parallel manipulators is highly important. in this thesis a simple and new technique are presented to determine the maximal singula...
15 صفحه اولPersistence of a Rouse polymer chain under transverse shear flow.
We consider a single Rouse polymer chain in two dimensions in the presence of a transverse shear flow along the x direction and calculate the persistence probability P0(t) that the x coordinate of a bead in the bulk of the chain does not return to its initial position up to time t. We show that the persistence decays at late times as a power law P0(t) approximately t{-theta} with a nontrivial e...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2000
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/33/38/301