3,910 research outputs found
Reflexive functors of modules in Commutative Algebra
Reflexive functors of modules naturally appear in Algebraic Geometry, mainly
in the theory of linear representations of group schemes, and in "duality
theories". In this paper we study and determine reflexive functors and we give
many properties of reflexive functors
Front dynamics in turbulent media
A study of a stable front propagating in a turbulent medium is presented. The
front is generated through a reaction-diffusion equation, and the turbulent
medium is statistically modeled using a Langevin equation. Numerical
simulations indicate the presence of two different dynamical regimes. These
regimes appear when the turbulent flow either wrinkles a still rather sharp
propagating interfase or broadens it. Specific dependences of the propagating
velocities on stirring intensities appropriate to each case are found and
fitted when possible according to theoretically predicted laws. Different
turbulent spectra are considered.Comment: 8 pages, REVTEX, 6 postscript figures included. To appear in Phys.
Fluids (1997
Coexistence of Quantum Theory and Special Relativity in signaling scenarios
The coexistence between Quantum Mechanics and Special Relativity is usually
formulated in terms of the no-signaling condition. Several authors have even
suggested that this condition should be included between the basic postulates
of Quantum Theory. However, there are several scenarios where signaling is, in
principle, possible: based on previous results and the analysis of the relation
between unitarity and signaling we present an example of a two-particle
interferometric arrangement for which the dynamics is, in principle, compatible
with superluminal transmission of information. This type of non-locality is not
in the line of Bell's theorem, but closer in spirit to the one-particle
acausality studied by Hegerfeldt and others. We analyze in this paper the
meaning of this non-locality and how to preserve the coexistence of the two
fundamental theories in this signaling scenario.Comment: See also the comment by G C Hegerfeldt in the online version of the
journal, including more reference
Langevin approach to generate synthetic turbulence
We present an analytical scheme, easily implemented numerically, to generate
synthetic Gaussian turbulent flows by using a linear Langevin equation, where
the noise term acts as a stochastic stirring force. The characteristic
parameters of the velocity field are well introduced, in particular the
kinematic viscosity and the spectrum of energy. As an application, the
diffusion of a passive scalar is studied for two different energy spectra.
Numerical results are compared favorably with analytical calculations.Comment: 7 pages, REVTEX, 6 figures. To appear in Physics of Fluids (April
1997
- …