40,445 research outputs found
Power Laws are Logarithmic Boltzmann Laws
Multiplicative random processes in (not necessaryly equilibrium or steady
state) stochastic systems with many degrees of freedom lead to Boltzmann
distributions when the dynamics is expressed in terms of the logarithm of the
normalized elementary variables. In terms of the original variables this gives
a power-law distribution. This mechanism implies certain relations between the
constraints of the system, the power of the distribution and the dispersion law
of the fluctuations. These predictions are validated by Monte Carlo simulations
and experimental data. We speculate that stochastic multiplicative dynamics
might be the natural origin for the emergence of criticality and scale
hierarchies without fine-tuning.Comment: latex, 9 pages with 3 figure
Spontaneous Scaling Emergence in Generic Stochastic Systems
We extend a generic class of systems which have previously been shown to
spontaneously develop scaling (power law) distributions of their elementary
degrees of freedom.
While the previous systems were linear and exploded exponentially for certain
parameter ranges, the new systems fulfill nonlinear time evolution equations
similar to the ones encountered in Spontaneous Symmetry Breaking (SSB) dynamics
and evolve spontaneously towards "fixed trajectories" indexed by the average
value of their degrees of freedom (which corresponds to the SSB order
parameter). The "fixed trajectories" dynamics evolves on the edge between
explosion and collapse/extinction.
The systems present power laws with exponents which in a wide range () are universally determined by the ratio between the minimal and the
average values of the degrees of freedom. The time fluctuations are governed by
Levy distributions of corresponding power. For exponents there is
no "thermodynamic limit" and the fluctuations are dominated by a few, largest
degrees of freedom which leads to macroscopic fluctuations, chaos and
bursts/intermitency.Comment: latex, 11 page
Multi-feed cone Cassegrain antenna Patent
Design and operation of multi-feed cone Cassegrain antenn
"Overcoming America's Infrastructure Deficit, A Fiscally Responsible Plan for Public Capital Investment"
Condemned bridges, dilapidated school buildings, contaminated water supplies, and other infrastructure shortcomings threaten American growth, productivity, and prosperity. S Jay Levy and Walter M. Cadette propose a plan for financing infrastructure projects that is designed to have minimal effect on the federal budget and to promote sound fiscal operation. Federal zero-interest mortgage loans to state and local governments for capital projects specified by Congress can cut the cost of such projects, achieve needed improvements in the nation's infrastructure, and thereby contribute to the American economy's future.
Command system study for the operation and control of unmanned scientific satellites. task ii closed-loop /feedback/ verification techniques second quarterly progress report, 30 sep. - 31 dec. 1964
Closed loop, feedback verification techniques for command system of unmanned scientific satellit
On finite-size effects in computer simulations using the Ewald potential
We discuss the origin and relevance for computer simulations of a strong
finite-size effect that appears when using the Ewald summation formula. It can
be understood as arising from a volume-dependent shift of the potential in a
finite, periodic box relative to the infinite volume limit. This shift is due
to the fact that the ``zero of energy'' for a periodic system cannot be defined
by letting the interacting particles be separated by an infinite distance; the
correct definition corresponds to setting its \bbox k=\bbox 0 Fourier mode to
zero. The implications of this effect for computer simulations are discussed.Comment: Submitted to Journal of Chemical Physic
Different steady states for spin currents in noncollinear multilayers
We find there are at least two different steady states for transport across
noncollinear magnetic multilayers. In the conventional one there is a
discontinuity in the spin current across the interfaces which has been
identified as the source of current induced magnetic reversal; in the one
advocated herein the spin torque arises from the spin accumulation transverse
to the magnetization of a magnetic layer. These two states have quite different
attributes which should be discerned by current experiments.Comment: 8 pages, no figure. Accepted for publication in Journal of Physics:
Condensed Matte
Ceramic composition at Chalcolithic Shiqmim, northern Negev desert, Israel: investigating technology and provenance using thin section petrography, instrumental geochemistry and calcareous nannofossils
Technological innovations in ceramic production and other crafts are hallmarks of the Chalcolithic period (4500–3600 BCE) in the southern Levant, but details of manufacturing traditions have not been fully investigated using the range of analytical methods currently available. This paper presents results of a compositional study of 51 sherds of ceramic churns and other pottery types from the Chalcolithic site of Shiqmim in the northern Negev desert. By applying complementary thin section petrography, instrumental geochemistry and calcareous nannofossil analyses, connections between the raw materials, clay paste recipes and vessel forms of the selected ceramic samples are explored and documented. The study indicates that steps in ceramic manufacturing can be related to both technological choices and local geology. Detailed reporting of the resulting data facilitates future comparative ceramic compositional research that is needed as a basis for testable regional syntheses and to better resolve networks of trade/exchange and social group movement
Electronic inhomogeneity at magnetic domain walls in strongly-correlated systems
We show that nano-scale variations of the order parameter in
strongly-correlated systems can induce local spatial regions such as domain
walls that exhibit electronic properties representative of a different, but
nearby, part of the phase diagram. This is done by means of a Landau-Ginzburg
analysis of a metallic ferromagnetic system near an antiferromagnetic phase
boundary. The strong spin gradients at a wall between domains of different spin
orientation drive the formation of a new type of domain wall, where the central
core is an insulating antiferromagnet, and connects two metallic ferromagnetic
domains. We calculate the charge transport properties of this wall, and find
that its resistance is large enough to account for recent experimental results
in colossal magnetoresistance materials. The technological implications of this
finding for switchable magnetic media are discussed.Comment: Version submitted to Physical Review Letters, except for minor
revisions to reference
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