74,947 research outputs found
A new duality transformation for fourth-order gravity
We prove that for non-linear L = L(R), the Lagrangians L and \hat L give
conformally equivalent fourth-order field equations being dual to each other.
The proof represents a new application of the fact that the operator
is conformally invariant.Comment: 11 pages, LaTeX, no figures. Gen. Relat. Grav. in prin
Exhibiting cross-diffusion-induced patterns for reaction-diffusion systems on evolving domains and surfaces
The aim of this manuscript is to present for the first time the application of the finite element method for solving reaction-diffusion systems with cross-diffusion on continuously evolving domains and surfaces. Furthermore we present pattern formation generated by the reaction-diffusion systemwith cross-diffusion on evolving domains and surfaces. A two-component reaction-diffusion system with linear cross-diffusion in both u and v is presented. The finite element method is based on the approximation of the domain or surface by a triangulated domain or surface consisting of a union of triangles. For surfaces, the vertices of the triangulation lie on the continuous surface. A finite element space of functions is then defined by taking the continuous functions which are linear affine on each simplex of the triangulated domain or surface. To demonstrate the role of cross-diffusion to the theory of pattern formation, we compute patterns with model kinetic parameter values that belong only to the cross-diffusion parameter space; these do not belong to the standard parameter space for classical reaction-diffusion systems. Numerical results exhibited show the robustness, flexibility, versatility, and generality of our methodology; the methodology can deal with complicated evolution laws of the domain and surface, and these include uniform isotropic and anisotropic growth profiles as well as those profiles driven by chemical concentrations residing in the domain or on the surface
Internal Motility in Stiffening Actin-Myosin Networks
We present a study on filamentous actin solutions containing heavy meromyosin
subfragments of myosin II motor molecules. We focus on the viscoelastic phase
behavior and internal dynamics of such networks during ATP depletion. Upon
simultaneously using micro-rheology and fluorescence microscopy as
complementary experimental tools, we find a sol-gel transition accompanied by a
sudden onset of directed filament motion. We interpret the sol-gel transition
in terms of myosin II enzymology, and suggest a "zipping" mechanism to explain
the filament motion in the vicinity of the sol-gel transition.Comment: 4 pages, 3 figure
On a Possibility to Measure Thermoelectric Power in SNS Structures
Two dissimilar Josephson junctions, which are connected to a heater can act
as precise batteries. Because of the difference in thermoelectric power of
these batteries, circuit with two dissimilar batteries, under heat flow would have a net EMF around the zero-resistance
loop leading to a loop's magnetic flux oscillating in time. It is shown its
theoretical value is proportional to both the temperature difference as well as
the disparity in the thermoelectric powers of the two junctions.Comment: 5 page
Bound hole states in a ferromagnetic (Ga,Mn)As environment
A numerical technique is developed to solve the Luttinger-Kohn equation for
impurity states directly in k-space and is applied to calculate bound hole wave
functions in a ferromagnetic (Ga,Mn)As host. The rich properties of the band
structure of an arbitrarily strained, ferromagnetic zinc-blende semiconductor
yields various features which have direct impact on the detailed shape of a
valence band hole bound to an active impurity. The role of strain is discussed
on the basis of explicit calculations of bound hole states.Comment: 9 pages, 10 figure
Temperature in One-Dimensional Bosonic Mott insulators
The Mott insulating phase of a one-dimensional bosonic gas trapped in optical
lattices is described by a Bose-Hubbard model. A continuous unitary
transformation is used to map this model onto an effective model conserving the
number of elementary excitations. We obtain quantitative results for the
kinetics and for the spectral weights of the low-energy excitations for a broad
range of parameters in the insulating phase. By these results, recent Bragg
spectroscopy experiments are explained. Evidence for a significant temperature
of the order of the microscopic energy scales is found.Comment: 8 pages, 7 figure
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