On the continuous spectrum of leaky magnetohydrodynamic modes and the associated quasimodes
Jesse Andries and Marcel Goossens
We aim to clarify the mathematical status of the leaky modes in an unbounded magnetohydrodynamic (MHD) plasma. The initial value problem of a one-dimensional unbounded MHD plasma is solved by means of a Laplace transform in time. It is shown that the MHD operator remains self-adjoint in the sense th ... [Phys. Plasmas 14, 052101 (2007)] published Wed May 2, 2007.
Two types of multicomponent matrix loop algebras and its application
Huanhe Dong and Wei Yuan
Two types of multicomponent matrix Lie algebras are constructed, which are devoted to obtain two types of new loop algebras A[sub M1]. By making use of Tu scheme, integrable multicomponent Levi hierarchy and multicomponent Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy are generated, which contain an a ... [J. Math. Phys. 48, 053501 (2007)] published Tue May 1, 2007.
Using convex quadratic programming to model random media with Gaussian random fields
John A. Quintanilla and W. Max Jones
Excursion sets of Gaussian random fields (GRFs) have been frequently used in the literature to model two-phase random media with measurable phase autocorrelation functions. The goal of successful modeling is finding the optimal field autocorrelation function that best approximates the prescribed pha ... [Phys. Rev. E 75, 046709 (2007)] published Mon Apr 30, 2007.
Probability distribution of work done on a two-level system during a nonequilibrium isothermal process
Petr Chvosta, Peter Reineker, and Michael Schulz
We present an exact calculation of the probability density for the work done by an external agent on a two-level system. Due to the external drive, both the transition rates between the two states and their energies depend on time. Within this setting we calculate the probability of every possible s ... [Phys. Rev. E 75, 041124 (2007)] published Mon Apr 30, 2007.
The Problem of Minimization of Fire Risk
Lj. Mašković, B. Tošić, and V. Sajfert
The goal of this problem analysis is to determine the dependence of average absorbed thermal energy on the layout of objects made of various materials and based, on the obtained analytical expression, to determine the layout of objects involving the minimum fire risk. Semi-empirical formulas for ene ... [AIP Conf. Proc. 899, 740 (2007)] published Fri Apr 27, 2007.
Numerical Solutions For Fields' Dynamical Evolution In The Robertson- Walker Space - Time
Gabriel Murariu
In this paper is considered a Klein-Gordon-Maxwell-Einstein interacting fields system for a complex scalar field minimally coupled to a spherically symmetric Robertson -Walker curved space - time. Time evolutions for the coupled boson system fields are evaluated using numerical methods. (C)2007 Amer ... [AIP Conf. Proc. 899, 553 (2007)] published Fri Apr 27, 2007.
Dynamics of Ultrarelativistic Jets
O. Donmez and R. Kayali
We investigate the dynamics and morphology of jets propagating into the interstellar medium using 2D special relativistic hydrodynamics code. The calculations are performed assuming axisymmetric geometry and trace a long propagation of jets. The jets are assumed to be higher density than the ambient ... [AIP Conf. Proc. 899, 552 (2007)] published Fri Apr 27, 2007.
Study of Some Numerical Phenomena Intervening in the Computer Simulations of Some Physical Processes
D. A. Iordache, P. P. Delsanto, and V. Iordache
The mechanisms of the computing schemes leading to the main numerical phenomena: instabilities, divergence or pseudo-convergence, distortions, as well as of the stability and convergence radii, and of the optimization possibilities of the computer simulations of some physical processes were studied ... [AIP Conf. Proc. 899, 391 (2007)] published Fri Apr 27, 2007.
A New Version of Orthonormal Polynomial Expansion Method
Nina Bogdanova Bogdanova
The proposed version of our Orthonormal Polynomial Expansion Method presents the combination of two new features: including the errors in independent variable with the help of new total variance and using the usual coefficients for calculating the approximating values. (C)2007 American Institute of ... [AIP Conf. Proc. 899, 377 (2007)] published Fri Apr 27, 2007.
An Alternative Formulation of Relativistic Head-On Collision Problem
Suleyman Demir and Murat Tanisli
In this work, complex quaternions have been used instead of four vectors to reformulate the relativistic elastic head-on collision problem. Even though four vectors are much more commonly used for this formulation, complex quaternionic formalism presented in this work provides a very useful and eleg ... [AIP Conf. Proc. 899, 357 (2007)] published Fri Apr 27, 2007.
The Maximum Clique Problem in Spinorial Form
Marco Budinich and Paolo Budinich
We present a formulation of the Maximum Clique problem of a graph as a geometrical problem of null vectors in complex space. This problem is then translated in spinorial language. (C)2007 American Institute of Physics ... [AIP Conf. Proc. 899, 355 (2007)] published Fri Apr 27, 2007.
Topology of the potential energy surface and the origin of phase changes in finite atomic clusters
A. Proykova
The important differences between the behavior of bulk matter and small systems with respect to their phases and phase changes keep the interest in the subject vivid. On the other hand, small systems display forms that have properties very similar to those we associate with specific phases of bulk m ... [AIP Conf. Proc. 899, 69 (2007)] published Fri Apr 27, 2007.
New Developments in Quantum Mechanics and Applications
I. I. Guseinov
The analytical relation is suggested for the centrally symmetric potential which contains the core attraction potential and the potential of the field produced by the particle itself. The eigenfunctions corresponding to this potential are complete without the inclusion of the continuum states. The g ... [AIP Conf. Proc. 899, 65 (2007)] published Fri Apr 27, 2007.
Energy of Rigidly Rotating Wormhole Space-time
Melis Aygun, Ihsan Yilmaz, and Sezgin Aygun
This study is purposed to elaborate the problem of energy distribution of the Rigidly Rotating Wormhole space-time in general theory of relativity. In this connection, we use the energy-momentum definitions of Einstein, Bergmann-Thomson and Tolman. We obtained that the energy distributions of Einste ... [AIP Conf. Proc. 899, 159 (2007)] published Fri Apr 27, 2007.
Charged black holes coupled to non-linear electrodynamics in scalar-tensor theories of gravity with massless scalar field
Ivan Zh. Stefanov, Stoytcho S. Yazadjiev, and Michail D. Todorov
The non-existence of uncharged black holes and charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The no-scalar-hair theorems, however, do not apply in the case of non-linear electrodynamics. In the present w ... [AIP Conf. Proc. 899, 157 (2007)] published Fri Apr 27, 2007.
Exact Solutions of Duffin-Kemmer-Petiau Equation in (1 + 1)-Dimensional Curved Spacetime
Kenan Sogut and Ali Havare
We investigate exact solutions of massive spin-1 particle equation via Duffin-Kemmer-Petiau Theory in 2-dimensional spacetime. We consider two different cosmological models. Based on the solutions we will discuss the harmonic oscillator behavior of the spin-1 particles for these two models. (C)2007 ... [AIP Conf. Proc. 899, 155 (2007)] published Fri Apr 27, 2007.
Bianchi V Brane-world Cosmology with a Generalized Chaplygin Gas
O. Sevinc and G. Berkoz
In the context of brane cosmology, we investigate exact solution of the gravitational field equations in the Randall-Sundrum model for an anisotropic brane with Bianchi V geometry, with a generalized Chaplygin gas, which plays the role of dark energy and interacts with dark matter particles. Also, t ... [AIP Conf. Proc. 899, 153 (2007)] published Fri Apr 27, 2007.
Bianchi Models with Chaplygin Gas
G. Berkoz and O. Sevinc
Einstein Gravitational Field Equations (EFE) of Chaplygin gas dominated Bianchi-type models are obtained by using metric approximation. The solutions of equations for a special case, namely Bianchi I model which is a generalization of isotropic Friedmann-Robertson-Walker (FRW) cosmology, are obtaine ... [AIP Conf. Proc. 899, 141 (2007)] published Fri Apr 27, 2007.
Deformation Theory of Courant Algebroids via the Rothstein Algebra. (arXiv:0807.0584v1 [math.QA])
ePrint arXiv http://arXiv.org/
Symmetry Reduction of Lane-Emden Equation for Polytropes. (arXiv:0807.0533v1 [math-ph])
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The sequence of ideas in a re-discovery of the Colombeau algebras. (arXiv:0807.0529v1 [math-ph])
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Stratified Steady Periodic Water Waves. (arXiv:0807.0474v1 [math.AP])
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Poisson Statistics for Eigenvalues of Continuum Random Schr\"odinger Operators. (arXiv:0807.0455v1 [math-ph])
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Critical Solutions of Three Vortex Motion in the Parabolic Case. (arXiv:0807.0454v1 [math.DS])
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Explicit large nuclear charge limit of electronic ground states for Li, Be, B, C, N, O, F, Ne and basic aspects of the periodic table. (arXiv:0807.0628v1 [math-ph])
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Nonlinear generalized functions and the Heisenberg-Pauli foundations of Quantum Field Theory. (arXiv:0705.2396v3 [math-ph] UPDATED)
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Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra. (arXiv:0807.0424v2 [math-ph] UPDATED)
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Polyakov soldering and second order frames : the role of the Cartan connection. (arXiv:0802.3772v2 [math-ph] UPDATED)
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Schwarzian derivative and Numata Finsler structures. (arXiv:0802.2166v2 [math-ph] UPDATED)
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On finiteness of the sum of negative eigenvalues of Schroedinger operators. (arXiv:0802.2032v2 [math.SP] UPDATED)
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Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schr"odinger and Hartree equations. (arXiv:0807.0367v1 [math.AP] CROSS LISTED)
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Matrix representation of the stationary measure for the multispecies TASEP. (arXiv:0807.0327v1 [math.PR] CROSS LISTED)
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Stability of the Periodic Toda Lattice in the Soliton Region. (arXiv:0807.0244v1 [nlin.SI] CROSS LISTED)
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