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 .
A Study of General Education Astronomy Students' Understandings of Cosmology. Part III. Evaluating Four Conceptual Cosmology Surveys: An Item Response Theory Approach
Colin S. Wallace, Edward E. Prather, and Douglas K. Duncan
This is the third of five papers detailing our national study of general education astronomy students' conceptual and reasoning difficulties with cosmology. In this paper, we use item response theory to analyze students' responses to three out of the four conceptual cosmology surveys we developed. T ... [AER 11, 010103 (2012)] published Thu Feb 2, 2012.
Quasi-periodic functions on the torus and sl(n)-elliptic Lie algebra
T. Skrypnyk
We investigate properties of the sl(n) automorphic elliptic algebra [fraktur E](sl(n)). We prove it to be [openface Z] quasi-graded Lie algebra which could be viewed as a deformation of a graded loop algebra. We show that it admits the decomposition into the direct sum of two subalgebras: [fraktur E ... [J. Math. Phys. 53, 023502 (2012)] published Wed Feb 1, 2012.
Cooperation and age structure in spatial games
Zhen Wang, Zhen Wang, Xiaodan Zhu, and Jeferson J. Arenzon
We study the evolution of cooperation in evolutionary spatial games when the payoff correlates with the increasing age of players (the level of correlation is set through a single parameter, alpha). The demographic heterogeneous age distribution, directly affecting the outcome of the game, is thus s ... [Phys. Rev. E 85, 011149 ] published .
Matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions
B. Pirvu, J. Haegeman, and F. Verstraete
We study a matrix product state algorithm to approximate excited states of translationally invariant quantum spin systems with periodic boundary conditions. By means of a momentum eigenstate ansatz generalizing the one of Ostlund and Rommer [see S. Ostlund and S. Rommer, Phys. Rev. Lett. 75, 3537 (1 ... [Phys. Rev. B 85, 035130 ] published .
The Limits of Reproducibility in Numerical Simulation
Kai Diethelm
Modern computational simulation's increasing and mainly speed-oriented use of HPC systems often conflicts with the goal of making research reproducible. Indeed, the simulations that result from HPC use often behave reproducibly in only a limited way. As a discussion of this phenomenon's technical ba ... [Comput. Sci. Eng. 14, 64 (2012)] published Tue Jan 31, 2012.
Effective constrained polymeric theories and their continuum limit. (arXiv:1202.1846v1 [gr-qc])
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Homogenization of the Poisson-Nernst-Planck Equations for Ion Transport in Charged Porous Media. (arXiv:1202.1916v1 [math-ph])
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Fixed energy potentials through an auxiliary inverse eigenvalue problem. (arXiv:1202.1931v1 [math-ph])
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Twisted supersymmetric 5D Yang-Mills theory and contact geometry. (arXiv:1202.1956v1 [hep-th])
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Symbolic calculus and integrals of Laguerre polynomials. (arXiv:1202.1976v1 [math.CA])
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New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods. (arXiv:1202.2010v1 [math-ph])
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Symmetry and degeneracy of the curved Coulomb potential on the S3 ball. (arXiv:1202.2021v1 [math-ph])
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Non linear pseudo-bosons versus hidden Hermiticity. II: The case of unbounded operators. (arXiv:1202.2028v1 [math-ph])
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Discrete-Time Path Distributions on Hilbert Space. (arXiv:1202.2033v1 [math-ph])
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Absolutely Continuous Spectrum for Random Schroedinger Operators on Tree-Strips of finite cone type. (arXiv:1202.2058v1 [math-ph])
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Classification of real three-dimensional Poisson-Lie groups. (arXiv:1202.2077v1 [math-ph])
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On the efficiency of Hamiltonian-based quantum computation for low-rank matrices. (arXiv:1004.4911v3 [math-ph] UPDATED)
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Open Quantum Systems. An Introduction. (arXiv:1104.5242v2 [quant-ph] UPDATED)
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d-Orthogonal polynomials and su(2). (arXiv:1110.1902v3 [math-ph] UPDATED)
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Non-perturbative corrections to mean-field behavior: spherical model on spider-web graph. (arXiv:1111.0741v2 [cond-mat.stat-mech] UPDATED)
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Spinor-Unit Field Representation of Electromagnetism Applied to a Model Inflationary Cosmology. (arXiv:1112.1005v2 [gr-qc] UPDATED)
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Periodic solutions of planetary systems with satellites and the averaging method in systems with slow and fast variables. (arXiv:1201.6356v3 [math.DS] UPDATED)
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Gaming the Quantum. (arXiv:1202.1142v2 [quant-ph] UPDATED)
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