The anisotropic perfectly matched layer (PML) defines a continuous vector field outside a rectangle domain and performs the complex coordinate stretching along the direction of the vector field. In this paper we propose a new way of constructing the vector field which allows us to prove the exponential decay of the stretched Green function without the constraint on the thickness of the PML laye...

The large time asymptotics of a magnetic eld in a turbulent -correlated (in time) ow of an ideal incompressible uid are studied. It is shown that the magnetic eld exhibits the dynamo e ect (exponential stretching) unless the Lagrangian ow generated by the velocity eld is (almost surely) distance preserving; and it is intermittent unless the Lagrangian ow associated to the turbulent component of...

Supercooled liquids are proposed to be dynamically heterogeneous, with regions exhibiting relaxation time scales that vary in space and time. Measurement of the distribution of such time scales could be an important test of various proposed theories of vitrification. Single molecule fluorescence experiments attempt to uncover this distribution, typically by embedding single molecule probes into...

We present compelling evidence that most gamma-ray burst (GRB) pulse light curves can be characterized by a smooth single-peaked component coupled with more complex emission structure is temporally symmetric around the time of peak. The model successfully fits 86% Burst and Transient Source Experiment GRB pulses bright enough for structural properties to measured. Surprisingly, pulse's light-cu...

We use single-molecule force spectroscopy to study the kinetics of unfolding of the small protein ubiquitin. Upon a step increase in the stretching force, a ubiquitin polyprotein extends in discrete steps of 20.3 +/- 0.9 nm marking each unfolding event. An average of the time course of these unfolding events was well described by a single exponential, which is a necessary condition for a memory...

We study the elastic response of a wormlike polymer chain with reversible kinklike structural defects. This is a generic model for (a) the double-stranded DNA with sharp bends induced by binding of certain proteins, and (b) effects of trans-gauche rotations in the backbone of the single-stranded DNA. The problem is solved both analytically and numerically by generalizing the well-known analogy ...

Slow relaxation occurs in many physical and biological systems. "Creep" is an example from everyday life. When stretching a rubber band, for example, the recovery to its equilibrium length is not, as one might think, exponential: The relaxation is slow, in many cases logarithmic, and can still be observed after many hours. The form of the relaxation also depends on the duration of the stretchin...

The present paper aims at investigating the steady two-dimensional MHD convective boundary layer flow of a Casson fluid over a permeable stretching surface in the presence of thermal radiation and chemical reaction. The stretching velocity, wall temperature and wall concentration are assumed to vary according to specific exponential form. Velocity slip, thermal slip, solutal slip, thermal radia...

The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external strong uniform magnetic field is applied perpendicular to the s...