30,378 research outputs found
One Hour of Chemical Demonstrations
This article describes a diverse set of chemistry demonstrations especially selected to encourage student interaction and to be easily transported. The demonstrations may be presented at a level that can be tailored to any audience– from very young children to high school students planning careers in science. An ideal environment is a small classroom with 20-30 students where everyone can take part in the discussion. Once the chemicals are prepared, the collection of demonstrations takes about ten minutes to set-up, and one hour (or less) to perform. Very little is needed at the visiting site, no more than a table and a pitcher of water. A single electrical outlet is useful, but not essential. In Table 2 th
Electronic heat current rectification in hybrid superconducting devices
In this work, we review and expand recent theoretical proposals for the
realization of electronic thermal diodes based on tunnel-junctions of normal
metal and superconducting thin films. Starting from the basic rectifying
properties of a single hybrid tunnel junction, we will show how the
rectification efficiency can be largely increased by combining multiple
junctions in an asymmetric chain of tunnel-coupled islands. We propose three
different designs, analyzing their performance and their potential advantages.
Besides being relevant from a fundamental physics point of view, this kind of
devices might find important technological application as fundamental building
blocks in solid-state thermal nanocircuits and in general-purpose cryogenic
electronic applications requiring energy management.Comment: 9 pages, 5 color figure
Classical R-matrix theory of dispersionless systems: I. (1+1)-dimension theory
A systematic way of construction of (1+1)-dimensional dispersionless
integrable Hamiltonian systems is presented. The method is based on the
classical R-matrix on Poisson algebras of formal Laurent series. Results are
illustrated with the known and new (1+1)-dimensional dispersionless systems.Comment: 23 page
Field Dependent Phase Diagram of the Quantum Spin Chain (CH3)2NH2CuCl3
Although (CH3)2NH2CuCl3 (MCCL) was first examined in the 1930's [1], there
are open questions regarding the magnetic dimensionality and nature of the
magnetic properties. MCCL is proposed to be a S=1/2 alternating ferromagnetic
antiferromagnetic spin chain alternating along the crystalline a-axis [2,3].
Proposed ferromagnetic (JFM =1.3 meV) and antiferromagnetic (JAFM =1.1 meV)
exchange constants make this system particularly interesting for experimental
study. Because JFM and JAFM are nearly identical, the system should show
competing behavior between S=1/2 (AFM) and S=1(FM) effects. We report low
temperature magnetic field dependent susceptibility, chi(H), and specific heat,
Cp, of MCCL. These provide an initial magnetic-field versus temperature phase
diagram. A zero-field phase transition consistent with long range magnetic
order is observed at T=0.9 K. The transition temperature can be reduced via
application of a magnetic field. We also present comparisons to a FM/AFM dimer
model that accounts for chi(T,H=0) and Cp(H,T).Comment: 2 pages, 1 figure included in text. Submitted to proceedings of 24th
International Conference on Low Temperature Physics, August 200
A compactness theorem for complete Ricci shrinkers
We prove precompactness in an orbifold Cheeger-Gromov sense of complete
gradient Ricci shrinkers with a lower bound on their entropy and a local
integral Riemann bound. We do not need any pointwise curvature assumptions,
volume or diameter bounds. In dimension four, under a technical assumption, we
can replace the local integral Riemann bound by an upper bound for the Euler
characteristic. The proof relies on a Gauss-Bonnet with cutoff argument.Comment: 28 pages, final version, to appear in GAF
Flat bidifferential ideals and semihamiltonian PDEs
In this paper we consider a class of semihamiltonian systems characterized by
the existence of a special conservation law.
The density and the current of this conservation law satisfy a second order
system of PDEs which has a natural interpretation in the theory of flat
bifferential ideals. The class of systems we consider contains important
well-known examples of semihamiltonian systems. Other examples, like genus 1
Whitham modulation equations for KdV, are related to this class by a
reciprocal trasformation.Comment: 18 pages. v5: formula (36) corrected; minor change
Possible observation of phase separation near a quantum phase transition in doubly connected ultrathin superconducting cylinders of aluminum
The kinetic energy of superconducting electrons in an ultrathin, doubly
connected superconducting cylinder, determined by the applied flux, increases
as the cylinder diameter decreases, leading to a destructive regime around
half-flux quanta and a superconductor to normal metal quantum phase transition
(QPT). Regular step-like features in resistance vs. temperature curves taken at
fixed flux values were observed near the QPT in ultrathin Al cylinders. It is
proposed that these features are most likely resulted from a phase separation
near the QPT in which normal regions nucleate in a homogeneous superconducting
cylinder.Comment: 4 pages, 4 figures, to appear in Phys. Rev. Let
Theory of localization and resonance phenomena in the quantum kicked rotor
We present an analytic theory of quantum interference and Anderson
localization in the quantum kicked rotor (QKR). The behavior of the system is
known to depend sensitively on the value of its effective Planck's constant
\he. We here show that for rational values of \he/(4\pi)=p/q, it bears
similarity to a disordered metallic ring of circumference and threaded by
an Aharonov-Bohm flux. Building on that correspondence, we obtain quantitative
results for the time--dependent behavior of the QKR kinetic energy, (this is an observable which sensitively probes the system's localization
properties). For values of smaller than the localization length , we
obtain scaling , where is
the quasi--energy level spacing on the ring. This scaling is indicative of a
long time dynamics that is neither localized nor diffusive. For larger values
, the functions saturates (up to exponentially
small corrections ), thus reflecting essentially localized
behavior.Comment: 27 pages, 3 figure
Gauge transformation and reciprocal link for (2+1)-dimensional integrable field systems
Appropriate restrictions of Lax operators which allows to construction of
(2+1)-dimensional integrable field systems, coming from centrally extended
algebra of pseudo-differential operators, are reviewed. The gauge
transformation and the reciprocal link between three classes of Lax hierarchies
are established.Comment: to appear in J. Nonl. Math. Phys., 12 page
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