In this paper we describe the geometry of the energy momentum mapping of the complexified spherical pendulum. For background on the classical spherical pendulum we refer the reader to [4, chpt. IV]. We show that this complex Hamiltonian system is Mumford-Jacobi completely integrable [9, p.3.51–3.53] and admits an analogue of the period lattice [5] and action angle coordinates [4, Apend. D]. Fol...

The kinetic spherical model with long-ranged interactions and an arbitrary initial order m0 quenched from a very high temperature to T (≤ Tc) is solved. In the short-time regime, the bulk order increases with a power law in both the critical and phase-ordering dynamics. To the latter dynamics, a power law for the relative order mr ∼ −t−k is found in the intermediate time-regime. The short-time ...

We solve the dynamic equation for the kinetic spherical model that initially is in an arbitrary equilibrium state and then is left to evolve in a heat-bath with another temperature. Flows of the Renormalizational group are determined. PACS numbers: 64.60.Ht, 64.60.Cn, 05.70.Ln, 05.70.Fh

We attempt to fit observations with 5 resolution of the J=2−1 transition of CS in the directions of H ii regions A, B, and G of W49A North as well as observations with 20 resolution of the J=2−1, 3−2, 5−4, and 7−6 transitions in the directions of H ii regions A and G by using radiative transfer calculations. These calculations predict the intensity profiles resulting from several spherical clou...

There are many assumptions that have been considered when describing black liquor droplet combustion. These include assuming an isothermal particle, a constant diameter particle, inert inorganic species, and one-film diffusion model. This paper shows the effects of systematically relaxing these factors for a 1-D spherical model for black liquor combustion. The flame is described using boundary ...

We consider the p-spin spherical spin-glass model in the presence of an external magnetic field as a general example of a mean-field system where a one-step replica symmetry breaking (1-RSB) occurs. In this context we compute the complexity of the Thouless–Anderson– Palmer states, performing a quenched computation. We find what the general connection is between this method and the standard stat...

We present near-IR interferometric measurements of the K1.5 giant Arcturus (α Bootis), obtained at the IOTA interferometer with the FLUOR instrument, in four narrow filters with central wavelengths ranging from 2.03μm to 2.39μm. These observations were expected to allow us to quantify the wavelength dependence of the diameter of a typical K giant. They are compared to predictions from both plan...

Mariner 6 and 7 ultraviolet spectrometers that flew by Mars in 1969 observed the Lyman-, dayglow of atomic hydrogen. Data in the altitude range 200 to 24,000 km are analyzed to determine the structure of the Martian exosphere. The classical evaporative theory is applied to calculate a hydrogen density distribution. A spherical model of the dayglow Lyman-a emission, using radiative transfer theo...