An excited state paired interacting orbital method
Isao Kawata and Hiroya Nitta
A new method for analyzing and visualizing the molecular excited states, named excited state paired interacting orbital (EPIO), is proposed. The method is based both on the paired interacting orbital (PIO) proposed by Fujimoto and Fukui [J. Chem. Phys. 60, 572 (1974)] and the natural transition orbi ... [J. Chem. Phys. 136, 064109 (2012)] published Mon Feb 13, 2012.
Symmetry groups and fundamental solutions for systems of parabolic equations
Jing Kang and Changzheng Qu
In this paper, the relationship between Lie point symmetry and fundamental solution for systems of parabolic equations is explored. It is shown that the fundamental solutions of the systems of parabolic equations admitting certain symmetries can be obtained by inverting the Laplace transformation of ... [J. Math. Phys. 53, 023509 (2012)] published Mon Feb 13, 2012.
On convergent series representations of Mellin-Barnes integrals
Samuel Friot and David Greynat
Multiple Mellin-Barnes integrals are often used for perturbative calculations in particle physics. In this context, the evaluation of such objects may be performed through residues calculations which lead to their expression as multiple power series and logarithms of the parameters involved in the p ... [J. Math. Phys. 53, 023508 (2012)] published Mon Feb 13, 2012.
Stability of multi-Jensen mappings in non-Archimedean normed spaces
Tian Zhou Xu
In this paper, we study the stability of the multi-Jensen mappings in non-Archimedean normed spaces. The results improve and extend some recent results. ... [J. Math. Phys. 53, 023507 (2012)] published Mon Feb 13, 2012.
Bianchi class B spacetimes with electromagnetic fields
Kei Yamamoto
We carry out a thorough analysis on a class of cosmological space-times which admit three spacelike Killing vectors of Bianchi class B and contain electromagnetic fields. Using dynamical system analysis, we show that a family of electro-vacuum plane-wave solutions of the Einstein-Maxwell equations i ... [Phys. Rev. D 85, 043510 ] published .
Iterative solution of integral equations on a basis of positive energy Sturmian functions
George Rawitscher
An improvement of Weinberg's quasiparticle method for solving general one-dimensional integral equations is presented. The method uses simple auxiliary Sturmian functions for positive or negative energies, and corrects iteratively for the truncation errors of the Sturmian expansion of the solution. ... [Phys. Rev. E 85, 026701 ] published .
Discretising the Painleve equations a la Hirota-Mickens
B. Grammaticos, A. Ramani, J. Satsuma, and R. Willox
We present a systematic method for discretising the Painleve equations inspired by the method of Hirota (while extending it) and by that of Mickens (by specifying it to the case at hand). We derive various discrete analogues of Painleve I and II. We obtain forms that have been previously derived as ... [J. Math. Phys. 53, 023506 (2012)] published Thu Feb 9, 2012.
Cooperative behavior in evolutionary snowdrift games with the unconditional imitation rule on regular lattices
Ping-Ping Li, Jianhong Ke, Zhenquan Lin, and P. M. Hui
We study an evolutionary snowdrift game with the unconditional imitation updating rule on regular lattices. Detailed numerical simulations establish the structure of plateaus and discontinuous jumps of the equilibrium cooperation frequency f as a function of the cost-to-benefit ratio r. By analyzing ... [Phys. Rev. E 85, 021111 ] published .
Angular and frequency response of the gravitational wave interferometers in the metric theories of gravity
Arkadiusz Blaut
We analyze detector responses of gravitational wave detectors for gravitational waves with arbitrary polarizations predicted in the metric theories of gravity. We present the general formulas for the frequency responses valid in various interferometric arrangements including Michelson, Delay-Line an ... [Phys. Rev. D 85, 043005 ] published .
Disentangling non-Gaussianity, bias, and general relativistic effects in the galaxy distribution
Marco Bruni, Robert Crittenden, Kazuya Koyama, Roy Maartens, Cyril Pitrou et al.
Local non-Gaussianity, parametrized by f, introduces a scale-dependent bias that is strongest at large scales, precisely where general relativistic (GR) effects also become significant. With future data, it should be possible to constrain f=[script O](1) with high redshift surveys. GR corrections to ... [Phys. Rev. D 85, 041301 ] published .
A hybrid finite element-least square point interpolation method for solving acoustic problems
L. Y. Yao, D. J. Yu, W. Y. Cui, and J. W. Zhou
This paper presents a finite element-least square point interpolation method (FE-LSPIM) for solving 2D acoustic problem by synthesizing the attractive features of finite element and least-square point interpolation shape functions using the concepts of partition of unity (PU) methods. In the present ... [Noise Control Eng. J. 60, 97 (2012)] published Wed Feb 8, 2012.
Acoustically-observable properties of adult gait
Marshall Bradley and James M. Sabatier
An approach has been developed for extracting human gait parameters from micro Doppler sonar grams. Key parameters include average speed of walking, torso velocity, walk cycle time, and peak leg velocity. The approach is a modification of a technique previously used in radar data analysis. It has be ... [J. Acoust. Soc. Am. 131, EL210 (2012)] published Wed Feb 8, 2012.
Aerial ultrasonic micro Doppler sonar detection range in outdoor environments
Marshall Bradley and James M. Sabatier
Current research demonstrates that micro Doppler sonar has the capability to uniquely identify the presence of a moving human, making it an attractive component in surveillance systems for border security applications. Primary environmental factors that limit sonar performance are two-way spreading ... [J. Acoust. Soc. Am. 131, EL203 (2012)] published Wed Feb 8, 2012.
A note on the first integrals of the ABC system
Jaume Llibre and Claudia Valls
Without loss of generality the ABC systems reduce to two cases: either A = 0 and B, C >= 0, or A = 1 and 0 < B, C <= 1. In the first case it is known that the ABC system is completely integrable, here we provide its explicit first integrals. In the second case Ziglin [Dichotomy of the separatrices a ... [J. Math. Phys. 53, 023505 (2012)] published Wed Feb 8, 2012.
Rational solutions of the Noumi and Yamada system of type A
Kazuhide Matsuda
We completely classify the rational solutions of the Noumi and Yamada system of type A, which is a generalization of the fourth Painleve equation. The rational solutions are classified to three by the Backlund transformation group. ... [J. Math. Phys. 53, 023504 (2012)] published Wed Feb 8, 2012.
Observational cosmology using characteristic numerical relativity: Characteristic formalism on null geodesics
P. J. van der Walt and N. T. Bishop
The characteristic formalism of numerical relativity is based on a system of coordinates aligned with outgoing null cones. While these coordinates were designed for studying gravitational waves, they can also be easily adapted to model cosmological past null cones (PNCs). Similar to observational co ... [Phys. Rev. D 85, 044016 ] published .
Planar waveguide with twisted boundary conditions: Small width
Denis Borisov and Giuseppe Cardone
We consider a planar waveguide with twisted boundary conditions. By twisting we mean a special combination of Dirichlet and Neumann boundary conditions. Assuming that the width of the waveguide goes to zero, we identify the effective (limiting) operator as the width of the waveguide tends to zero, e ... [J. Math. Phys. 53, 023503 (2012)] published Tue Feb 7, 2012.
Effect of dimensionality on the continuum percolation of overlapping hyperspheres and hypercubes
S. Torquato
We show analytically that the [0, 1], [1, 1], and [2, 1] Pade approximants of the mean cluster number S for both overlapping hyperspheres and overlapping oriented hypercubes are upper bounds on this quantity in any Euclidean dimension d. These results lead to lower bounds on the percolation threshol ... [J. Chem. Phys. 136, 054106 (2012)] published Fri Feb 3, 2012.
The holonomy group at infinity of the Painleve VI equation
Bassem Ben Hamed, Lubomir Gavrilov, and Martine Klughertz
We prove that the holonomy group at infinity of the Painleve VI equation is virtually commutative. ... [J. Math. Phys. 53, 022701 (2012)] published Fri Feb 3, 2012.
Empirical correction of a toy climate model
Nicholas A. Allgaier, Kameron D. Harris, and Christopher M. Danforth
Improving the accuracy of forecast models for physical systems such as the atmosphere is a crucial ongoing effort. The primary focus of recent research on these highly nonlinear systems has been errors in state estimation, but as that error has been successfully diminished, the role of model error i ... [Phys. Rev. E 85, 026201 ] published .
Fluid dynamics of moving fish in a two-dimensional multiparticle collision dynamics model
Daniel A. P. Reid, H. Hildenbrandt, J. T. Padding, and C. K. Hemelrijk
The fluid dynamics of animal locomotion, such as that of an undulating fish, are of great interest to both biologists and engineers. However, experimentally studying these fluid dynamics is difficult and time consuming. Model studies can be of great help because of their simpler and more detailed an ... [Phys. Rev. E 85, 021901 ] published .
Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics. (arXiv:1202.2137v1 [math-ph])
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About the mechanism of matter transfer along cosmic string. (arXiv:1202.2222v1 [math-ph])
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Integral cohomology of rational projection method patterns. (arXiv:1202.2240v1 [math.KT])
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Non-abelian higher gauge theory and categorical bundle. (arXiv:1202.2280v1 [math-ph])
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Quantum Cournot equilibrium for the Hotelling-Smithies model of product choice. (arXiv:1202.2283v1 [quant-ph])
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On 2-Holonomy. (arXiv:1202.2292v1 [math.AT])
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Stability estimates of nearly-integrable systems with dissipation and non-resonant frequency. (arXiv:1202.2305v1 [math.DS])
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Coideal algebras from twisted Manin triple. (arXiv:1202.2312v1 [math.QA])
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Influence of the interplay between de Gennes boundary conditions and cubicity of Ginzburg-Landau equation on the properties of superconducting films. (arXiv:1202.2322v1 [cond-mat.mes-hall])
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Phase Space Evolution and Discontinuous Schr\"odinger Waves. (arXiv:1202.2333v1 [quant-ph])
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Tsirelson's problem and Kirchberg's conjecture. (arXiv:1008.1168v4 [quant-ph] UPDATED)
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Continuous Dependence of Cauchy Problem For Nonlinear Schr\"{o}dinger Equation in $H^{s}$. (arXiv:1009.2005v4 [math.AP] UPDATED)
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Operator system structures on the unital direct sum of C*-algebras. (arXiv:1011.1247v3 [math.OA] UPDATED)
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CFTs on Riemann Surfaces of genus $g\geq 1$. (arXiv:1011.1632v3 [math.CV] UPDATED)
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Four types of special functions of G_2 and their discretization. (arXiv:1101.2502v2 [math-ph] UPDATED)
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Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics. (arXiv:1104.1059v3 [hep-th] UPDATED)
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Construction of 2-dimensional Grosse-Wulkenhaar Model. (arXiv:1104.3750v3 [math-ph] UPDATED)
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Deformation Expression for Elements of Algebras (II) --(Weyl algebra of 2m-generators)--. (arXiv:1105.1218v2 [math-ph] UPDATED)
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On Lie Algebroids and Poisson Algebras. (arXiv:1106.1512v2 [math.DG] UPDATED)
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Few-body bound state stability of dipolar molecules in two dimensions. (arXiv:1109.4602v2 [cond-mat.quant-gas] UPDATED)
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A unified approach to computation of integrable structures. (arXiv:1110.4560v2 [nlin.SI] UPDATED)
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A local Hamiltonian for spherically symmetric gravity coupled to a scalar field. (arXiv:1111.4962v3 [gr-qc] UPDATED)
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Stability of the inverse resonance problem on the line. (arXiv:1201.1856v2 [math-ph] UPDATED)
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On the Scalar Spectrum of the Y^{p,q} Manifolds. (arXiv:1201.5394v2 [hep-th] UPDATED)
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Quantization in relativistic classical mechanics: the Stueckelberg equation, neutrino oscillation and large-scale structure of the Universe. (arXiv:1202.1404v2 [quant-ph] UPDATED)
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Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT. (arXiv:1202.1768v2 [math-ph] UPDATED)
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Weyl-Cartan-Weitzenb\"{o}ck gravity. (arXiv:1202.1879v1 [gr-qc] CROSS LISTED)
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