6,665 research outputs found
Non conservative Abelian sandpile model with BTW toppling rule
A non conservative Abelian sandpile model with BTW toppling rule introduced
in [Tsuchiya and Katori, Phys. Rev. E {\bf 61}, 1183 (2000)] is studied. Using
a scaling analysis of the different energy scales involved in the model and
numerical simulations it is shown that this model belong to a universality
class different from that of previous models considered in the literature.Comment: RevTex, 5 pages, 6 ps figs, Minor change
Density probability distribution in one-dimensional polytropic gas dynamics
We discuss the generation and statistics of the density fluctuations in
highly compressible polytropic turbulence, based on a simple model and
one-dimensional numerical simulations. Observing that density structures tend
to form in a hierarchical manner, we assume that density fluctuations follow a
random multiplicative process. When the polytropic exponent is equal
to unity, the local Mach number is independent of the density, and our
assumption leads us to expect that the probability density function (PDF) of
the density field is a lognormal. This isothermal case is found to be singular,
with a dispersion which scales like the square turbulent Mach
number , where and is the fluid density.
This leads to much higher fluctuations than those due to shock jump relations.
Extrapolating the model to the case , we find that, as the
Mach number becomes large, the density PDF is expected to asymptotically
approach a power-law regime, at high densities when , and at low
densities when . This effect can be traced back to the fact that the
pressure term in the momentum equation varies exponentially with , thus
opposing the growth of fluctuations on one side of the PDF, while being
negligible on the other side. This also causes the dispersion to
grow more slowly than when . In view of these
results, we suggest that Burgers flow is a singular case not approached by the
high- limit, with a PDF that develops power laws on both sides.Comment: 9 pages + 12 postscript figures. Submitted to Phys. Rev.
Experimental evidence on the development of scale invariance in the internal structure of self-affine aggregates
It is shown that an alternative approach for the characterization of growing
branched patterns consists of the statistical analysis of frozen structures,
which cannot be modified by further growth, that arise due to competitive
processes among neighbor growing structures. Scaling relationships applied to
these structures provide a method to evaluate relevant exponents and to
characterize growing systems into universality classes. The analysis is applied
to quasi-two-dimensional electrochemically formed silver branched patterns
showing that the size distribution of frozen structures exhibits scale
invariance. The measured exponents, within the error bars, remind us those
predicted by the Kardar-Parisi-Zhang equation.Comment: 11 pages, 4 figure
Translationally invariant nonlinear Schrodinger lattices
Persistence of stationary and traveling single-humped localized solutions in
the spatial discretizations of the nonlinear Schrodinger (NLS) equation is
addressed. The discrete NLS equation with the most general cubic polynomial
function is considered. Constraints on the nonlinear function are found from
the condition that the second-order difference equation for stationary
solutions can be reduced to the first-order difference map. The discrete NLS
equation with such an exceptional nonlinear function is shown to have a
conserved momentum but admits no standard Hamiltonian structure. It is proved
that the reduction to the first-order difference map gives a sufficient
condition for existence of translationally invariant single-humped stationary
solutions and a necessary condition for existence of single-humped traveling
solutions. Other constraints on the nonlinear function are found from the
condition that the differential advance-delay equation for traveling solutions
admits a reduction to an integrable normal form given by a third-order
differential equation. This reduction also gives a necessary condition for
existence of single-humped traveling solutions. The nonlinear function which
admits both reductions defines a two-parameter family of discrete NLS equations
which generalizes the integrable Ablowitz--Ladik lattice.Comment: 24 pages, 4 figure
Green chemistry in Brazil
The philosophy of green chemistry has been very well received in Latin America's research and development programs. In this review we describe the green chemistry contributions of Brazilian research groups over the last three years.Centro de Investigación y Desarrollo en Ciencias Aplicada
Green chemistry in Brazil
The philosophy of green chemistry has been very well received in Latin America's research and development programs. In this review we describe the green chemistry contributions of Brazilian research groups over the last three years.Centro de Investigación y Desarrollo en Ciencias Aplicada
- …