630 research outputs found
Stiffness dependence of critical exponents of semiflexible polymer chains situated on two-dimensional compact fractals
We present an exact and Monte Carlo renormalization group (MCRG) study of
semiflexible polymer chains on an infinite family of the plane-filling (PF)
fractals. The fractals are compact, that is, their fractal dimension is
equal to 2 for all members of the fractal family enumerated by the odd integer
(). For various values of stiffness parameter of the
chain, on the PF fractals (for ) we calculate exactly the critical
exponents (associated with the mean squared end-to-end distances of
polymer chain) and (associated with the total number of different
polymer chains). In addition, we calculate and through the MCRG
approach for up to 201. Our results show that, for each particular ,
critical exponents are stiffness dependent functions, in such a way that the
stiffer polymer chains (with smaller values of ) display enlarged values of
, and diminished values of . On the other hand, for any specific
, the critical exponent monotonically decreases, whereas the critical
exponent monotonically increases, with the scaling parameter . We
reflect on a possible relevance of the criticality of semiflexible polymer
chains on the PF family of fractals to the same problem on the regular
Euclidean lattices.Comment: 22 pages, 6 figure
Re: Dorsal onlay buccal mucosal graft urethroplasty in long anterior urethral stricture
Correlation transfer equation for ultrasound-modulated multiply scattered light
In this paper, we develop a temporal correlation transfer equation (CTE) for ultrasound-modulated multiply scattered light. The equation can be used to obtain the time-varying specific intensity of light produced by a nonuniform ultrasound field in optically scattering media that have a heterogeneous distribution of optical parameters. We also develop a Monte Carlo algorithm that can provide the spatial distribution of the optical power spectrum in optically scattering media with focused ultrasound fields, and heterogeneous distributions of optically scattering and absorbing objects. Derivation of the CTE is based on the ladder diagram approximation of the Bethe-Salpeter equation that assumes moderate ultrasound pressures. We expect the CTE to be applicable to a wide spectrum of conditions in the ultrasound-modulated optical tomography of soft biological tissues
Acousto-optics in scattering media: an analytical model for anisotropic scattering
We have calculated analytically the temporal autocorrelation function of the electric field component of multiply scattered coherent light transmitted through an anisotropically scattering medium and irradiated with a plane ultrasonic wave. The accuracy of the analytical solution is verified with an independent Monte Carlo simulation. The analytical model shows that an approximate similarity relation exists
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