93 research outputs found
New method for fast computation of gravity and magnetic anomalies from arbitrary polyhedra
We show that at any point the gravity field from a solid body bounded by plane surfaces and having uniform density can be computed as a field from a fictitious distribution of surface mass-density on the same body. The surface mass density at every surface element is equal to the product of the volume density of the body and the scalar product of (1) the unit outward vector normal to that surface element and (2) the position vector of the surface element with respect to the point of observation. Accordingly, the contribution to the gravity field from any plane surface of the body vanishes if the observation point lies in the plane of that surface. As a result, we can compute the gravity field everywhere, including points inside, on the surface, on an edge, or at a corner of the body where more than two surfaces meet. This new result lets us compute the gravity field using exactly the same simple procedure as for the magnetic field of a uniformly magnetized object, computed from an equivalent surface distribution of magnetic pole density. To get the gravity field while computing the magnetic field, one simply uses the product of this surface mass density and the universal gravitational constant instead of the surface magnetic pole density. Therefore, the same computer program can be used to compute the gravity, the magnetic field, or both simultaneously. This simple and novel approach makes the numerical computations much faster than all other previously published schemes
Measurements of the absolute value of the penetration depth in high- superconductors using a tunnel diode resonator
A method is presented to measure the absolute value of the London penetration
depth, , from the frequency shift of a resonator. The technique
involves coating a high- superconductor (HTSC) with film of low - Tc
material of known thickness and penetration depth. The method is applied to
measure London penetration depth in YBa2Cu3O{7-\delta} (YBCO)
Bi2Sr2CaCu2O{8+\delta} (BSCCO) and Pr{1.85}Ce{0.15}CuO{4-\delta}\lambda (0)\lambda \approx 2790$ \AA, reported for the first
time.Comment: RevTex 4 (beta 4). 4 pages, 4 EPS figures. Submitted to Appl. Phys.
Let
Sharp Raman Anomalies and Broken Adiabaticity at a Pressure Induced Transition from Band to Topological Insulator in Sb2Se3
The nontrivial electronic topology of a topological insulator is thus far
known to display signatures in a robust metallic state at the surface. Here, we
establish vibrational anomalies in Raman spectra of the bulk that signify
changes in electronic topology: an E2 g phonon softens unusually and its
linewidth exhibits an asymmetric peak at the pressure induced electronic
topological transition (ETT) in Sb2Se3 crystal. Our first-principles
calculations confirm the electronic transition from band to topological
insulating state with reversal of parity of electronic bands passing through a
metallic state at the ETT, but do not capture the phonon anomalies which
involve breakdown of adiabatic approximation due to strongly coupled dynamics
of phonons and electrons. Treating this within a four-band model of topological
insulators, we elucidate how nonadiabatic renormalization of phonons
constitutes readily measurable bulk signatures of an ETT, which will facilitate
efforts to develop topological insulators by modifying a band insulator
Evolution of Magnetic and Superconducting Fluctuations with Doping of High-Tc Superconductors (An electronic Raman scattering study)
For YBa_2Cu_3O_{6+\delta} and Bi_2Sr_2CaCu_2O_8 superconductors, electronic
Raman scattering from high- and low-energy excitations has been studied in
relation to the hole doping level, temperature, and energy of the incident
photons. For underdoped superconductors, it is concluded that short range
antiferromagnetic (AF) correlations persist with hole doping and doped single
holes are incoherent in the AF environment. Above the superconducting (SC)
transition temperature T_c the system exhibits a sharp Raman resonance of B_1g
symmetry and about 75 meV energy and a pseudogap for electron-hole excitations
below 75 meV, a manifestation of a partially coherent state forming from doped
incoherent quasi-particles. The occupancy of the coherent state increases with
cooling until phase ordering at T_c produces a global SC state.Comment: 5 pages, 4 EPS figures; SNS'97 Proceedings to appear in J. Phys.
Chem. Solid
Electronic Spectra and Their Relation to the (pi,pi) Collective Mode in High-Tc Superconductors
Photoemission spectra of Bi2Sr2CaCu2O8 reveal that the high energy feature
near (pi,0), the "hump", scales with the superconducting gap and persists above
Tc in the pseudogap phase. As the doping decreases, the dispersion of the hump
increasingly reflects the wavevector (pi,pi) characteristic of the undoped
insulator, despite the presence of a large Fermi surface. This can be
understood from the interaction of the electrons with a collective mode,
supported by our observation that the doping dependence of the resonance
observed by neutron scattering is the same as that inferred from our data.Comment: 4 pages (revtex), 5 figures (eps
Predominantly Superconducting Origin of Large Energy Gaps in Underdoped Bi2Sr2CaCu2O8-d from Tunneling Spectroscopy
New tunneling data are reported in underdoped Bi2Sr2CaCu2O8-d using
superconductor-insulator-superconductor break junctions. Energy gaps, Delta, of
51+2, 54+2 and 57+3 meV are observed for three crystals with Tc=77, 74, and 70
K respectively. These energy gaps are nearly three times larger than for
overdoped crystals with similar Tc. Detailed examination of tunneling spectra
over a wide doping range from underdoped to overdoped, including the Josephson
IcRn product, indicate that these energy gaps are predominantly of
superconducting origin.Comment: 10 pages, 4 figures, 1 tabl
Programmability of Chemical Reaction Networks
Motivated by the intriguing complexity of biochemical circuitry within individual cells we study Stochastic Chemical Reaction Networks (SCRNs), a formal model that considers a set of chemical reactions acting on a finite number of molecules in a well-stirred solution according to standard chemical kinetics equations. SCRNs have been widely used for describing naturally occurring (bio)chemical systems, and with the advent of synthetic biology they become a promising language for the design of artificial biochemical circuits. Our interest here is the computational power of SCRNs and how they relate to more conventional models of computation. We survey known connections and give new connections between SCRNs and Boolean Logic Circuits, Vector Addition Systems, Petri Nets, Gate Implementability, Primitive Recursive Functions, Register Machines, Fractran, and Turing Machines. A theme to these investigations is the thin line between decidable and undecidable questions about SCRN behavior
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