A model for the dynamics of the length distribution in polymer bundles is presented. It considers nucleation, polymerization, and depolymerization and is derived as a continuous macroscopic limit from a discrete description. Its main feature is a nonlinear coupling due to competition of the depolymerizing ends for the limited supply of a depolymerization agent. The model takes the form of an in...

In this paper Kolomogorov entropy of a simulated cavity quantum electrodynamics in a multi-partite system consisting of eight quantum dots in interaction with one cavity mode has been estimated. It has been shown that the Kolmogorov Entropy monotonically increases with the increasing coupling strength, which is a sufficient condition for chaotic behavior under ultrastrong coupling regime. The a...

More than three decades years ago, Aharon Katchalsky and Ora Kedem (1958, 1962) pointed out that the essence of biological transport is coupling. This insight was not so much a deduction as a concise summary of observations. At an elementary level, movement of a solute in the simplest aqueous solution implies movement of a hydration shell, and therefore movement of water, thence coupling of wat...

in this study, the dispersion mechanisms of aerosols suspended in a turbulent plane channel flow is investigated using a novel numerical approach. a turbulent channel flow is simulated by a direct numerical simulation (dns) method, for which no-slip boundary conditions are assumed at the top and bottom walls, while periodicity conditions are applied on the other sides. dns, in particular, allow...

In extra-dimensional models which are compactified on an n-torus (n ≥ 2) there exist moduli associated with the torus volume (which sets the fundamental Planck scale), the ratios of the torus radii, and the angle(s) of periodicity. We consider a model with gravity in the bulk of n = 2 large extra dimensions with a fixed volume, taking all Standard Model fields to be confined to a “thick” and su...

We present a systematic, and fully analytic, study of the ratio RpA between the gluon distribution in a nucleus and that in a proton scaled up by the atomic number A. We consider initial conditions of the McLerran–Venugopalan type, and quantum evolution in the Color Glass Condensate, with both fixed and running coupling. We perform an analytic study of the Cronin effect in the initial condition...

We study two identical hyperchaotic oscillators symmetrically coupled. Each oscillator represents a codimension-2 Takens–Bogdanov bifurcation under square symmetry, and was used to model a convection experiment in a time-dependent state. In the coupled system, the Lyapunov exponents behavior against the coupling parameter is used to detect changes in the dynamics, and the synchronization state ...

2. Introduction. Let SI C R" be a bounded domain with smooth boundary F. We consider the problem pd2tu — /LiAu — (p + A)V(V ■ u) + aV9 = 0 in ft x R+, (2.1) pcpdt9 — kA9 + adtV • u = 0 in fl x where u is a time-dependent deformation vector field, 6 is the normalized temperature, p, p, and cp are positive constants, 2/x + A > 0 (p the density, /i and A are Lame's constants, and cp is the specifi...