Queueing process with excluded-volume effect
Chikashi Arita
We introduce an extension of the M/M/1 queueing process with a spatial structure and excluded-volume effect. The rule of particle hopping is the same as for the totally asymmetric simple exclusion process (TASEP). A stationary-state solution is constructed in a slightly arranged matrix product form ... [Phys. Rev. E 80, 051119 (2009)] published Fri Nov 20, 2009.
Hylleraas-configuration-interaction study of the 2 S ground state of neutral lithium and the first five excited S states
James S. Sims and Stanley A. Hagstrom
High-precision Hylleraas-configuration-interaction (Hy-CI) method variational calculations are reported for the 2 S ground state of neutral lithium. The nonrelativistic energy is calculated to be 7.478 060 323 451 9 hartree, demonstrating that the Hy-CI technique is capable of sub-nanohartree accur ... [Phys. Rev. A 80, 052507 (2009)] published Thu Nov 19, 2009.
Dynamical Origin of the Effective Storage Capacity in the Brain's Working Memory
Christian Bick and Mikhail I. Rabinovich
The capacity of working memory (WM), a short-term buffer for information in the brain, is limited. We suggest a model for sequential WM that is based upon winnerless competition amongst representations of available informational items. Analytical results for the underlying mathematical model relate ... [Phys. Rev. Lett. 103, 218101 (2009)] published Thu Nov 19, 2009.
Microcanonical replica exchange molecular dynamics simulation of proteins
Parimal Kar, Walter Nadler, and Ulrich H. E. Hansmann
We present microcanonical replica exchange molecular dynamics simulations as an alternative to canonical ones. Its advantage is the easily tunable high acceptance rate for replica exchange. We present the theory, comment on its actual implementation, and demonstrate its application for a common test ... [Phys. Rev. E 80, 056703 (2009)] published Wed Nov 18, 2009.
Fast update algorithm for the quantum Monte Carlo simulation of the Hubbard model
Phani K. V. V. Nukala, Thomas A. Maier, Michael S. Summers, Gonzalo Alvarez, and Thomas C. Schulthess
This paper presents an efficient algorithm for computing the transition probability in auxiliary field quantum Monte Carlo simulations of strongly correlated electron systems using a Hubbard model. This algorithm is based on a low rank updating of the underlying linear algebra problem, and results i ... [Phys. Rev. B 80, 195111 (2009)] published Tue Nov 17, 2009.
Well-posedness of Einstein's equation with redshift data
Christopher J. Winfield
We study the solvability of a system of ordinary differential equations derived from null geodesics of the LemaitreTolmanBondi metric with data given in terms of a so-called redshift parameter. Data are introduced along these geodesics by the luminosity distance function. We check our results with l ... [J. Math. Phys. 50, 113515 (2009)] published Tue Nov 17, 2009.
Time series analysis with the HilbertHuang transform
Denis Donnelly and Edwin Rogers
Time series data can be transformed to the frequency domain via the HilbertHuang transform. This transform has two major stages. The data are first deconstructed into a set of monocomponent intrinsic mode functions that are the basis states for the transform. A Hilbert spectral analysis is then perf ... [Am. J. Phys. 77, 1154 (2009)] published Tue Nov 17, 2009.
Spreadsheet physics: Examples in meteorology and planetary science
Rhett Herman
By utilizing the iterative capabilities of spreadsheets, students who do not have a programming background may obtain numerical solutions to complex equations. This paper discusses two examples of spreadsheet programming. One models the structure of a planet using a set of ordinary differential equa ... [Am. J. Phys. 77, 1124 (2009)] published Tue Nov 17, 2009.
Detection of protein secondary structures via the discrete wavelet transform
Jesus Pando, Luke Sands, and Sean E. Shaheen
We subject the primary sequence of proteins gathered from the Structural Classification of Proteins (SCOP) database to a discrete wavelet transform (DWT) analysis to search for predictors of secondary structures. We use proteins with both alpha helices and beta sheets (the A/B, A+B databases from SC ... [Phys. Rev. E 80, 051909 (2009)] published Mon Nov 16, 2009.
Velocity and cluster distributions in a bottleneck system
Vidar Frette and Per C. Hemmer
Velocity and cluster distributions for particles with unidirectional motion in one dimension are studied. The particles never pass each other, like cars on a narrow road that does not allow overtaking. As a result, particles cluster behind slow particles (queues are formed behind slow cars). Thus, t ... [Phys. Rev. E 80, 051115 (2009)] published Fri Nov 13, 2009.
Coagulation reactions in low dimensions: Revisiting subdiffusive A+A reactions in one dimension
S. B. Yuste, J. J. Ruiz-Lorenzo, and Katja Lindenberg
We present a theory for the coagulation reaction A+A-->A for particles moving subdiffusively in one dimension. Our theory is tested against numerical simulations of the concentration of A particles as a function of time (anomalous kinetics) and of the interparticle distribution function as a functio ... [Phys. Rev. E 80, 051114 (2009)] published Fri Nov 13, 2009.
Initialization and self-organized optimization of recurrent neural network connectivity
Joschka Boedecker, Oliver Obst, N. Michael Mayer, and Minoru Asada
Reservoir computing (RC) is a recent paradigm in the field of recurrent neural networks. Networks in RC have a sparsely and randomly connected fixed hidden layer, and only output connections are trained. RC networks have recently received increased attention as a mathematical model for generic neura ... [HFSP J. 3, 340 (2009)] published Thu Nov 12, 2009.
Multiplicative Levy processes: Ito versus Stratonovich interpretation
Tomasz Srokowski
Langevin equation with a multiplicative stochastic force is considered. That force is uncorrelated, it has the Levy distribution and the power-law intensity. The Fokker-Planck equations, which correspond both to the Ito and Stratonovich interpretation, are presented. They are solved for the case wit ... [Phys. Rev. E 80, 051113 (2009)] published Thu Nov 12, 2009.
Hard versus soft dynamics for adsorption-desorption kinetics: Exact results in one-dimension
S. J. Manzi, V. J. Huespe, R. E. Belardinelli, and V. D. Pereyra
The adsorption-desorption kinetics is discussed in the framework of the kinetic lattice-gas model. The master equation formalism has been introduced to describe the evolution of the system, where the transition probabilities are written as an expansion of the occupation configurations of all neighbo ... [Phys. Rev. E 80, 051112 (2009)] published Thu Nov 12, 2009.
Periodic solutions on the SturmLiouville boundary value problem for two-dimensional wave equation
Shuguan Ji
In this paper, we study the periodic solutions to two-dimensional wave equation yDeltay+ay+g(y)=f(x,t) on (0,pi) x (0,pi) x [openface R] under the periodic conditions y(x,t+T)=y(x,t), y(x,t+T)=y(x,t), and the SturmLiouville boundary conditions ay(0,x,t)by(0,x,t)=0, ay(pi,x,t)+by(pi,x,t)=0, ay(x,0,t) ... [J. Math. Phys. 50, 113510 (2009)] published Thu Nov 12, 2009.
Dynamical systems and Poisson structures
Metin Gurses, Gusein Sh. Guseinov, and Kostyantyn Zheltukhin
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamical systems in [openface R] are locally bi-Hamiltonian. An algorithm is introduced to obtain Poisson structures of a given dynamical system. The construction of the Poisson structures is based on solvin ... [J. Math. Phys. 50, 112703 (2009)] published Thu Nov 12, 2009.
Recovering General Relativity from Massive Gravity
E. Babichev, C. Deffayet, and R. Ziour
We obtain static, spherically symmetric, and asymptotically flat numerical solutions of massive gravity with a source. Those solutions show, for the first time explicitly, a recovery of the Schwarzschild solution of general relativity via the so-called Vainshtein mechanism. ... [Phys. Rev. Lett. 103, 201102 (2009)] published Thu Nov 12, 2009.
An Exploratory Qualitative Study of the Proximal Goal Setting of Two Introductory Modeling Instruction Physics Students
Vashti Sawtelle, Eric Brewe, and Laird Kramer
Proximal goal setting has been strongly linked to self-efficacy and often occurs in successful problem solving. A qualitative study, using both observations and interviews, investigated the problem-solving processes and the self-efficacy of two students enrolled in an introductory physics course tha ... [AIP Conf. Proc. 1179, 261 (2009)] published Thu Nov 12, 2009.
Inflation and dark energy from three-forms
Tomi S. Koivisto and Nelson J. Nunes
Three-forms can give rise to viable cosmological scenarios of inflation and dark energy with potentially observable signatures distinct from standard single scalar field models. In this study, the background dynamics and linear perturbations of self-interacting three-form cosmology are investigated. ... [Phys. Rev. D 80, 103509 (2009)] published Thu Nov 12, 2009.
Synchronization in coupled time-delayed systems with parameter mismatch and noise perturbation
Yongzheng Sun and Jiong Ruan
In this paper, a design of coupling and effective sufficient condition for stable complete synchronization and antisynchronization of a class of coupled time-delayed systems with parameter mismatch and noise perturbation are established. Based on the LaSalle-type invariance principle for stochastic ... [Chaos 19, 043113 (2009)] published Wed Nov 11, 2009.
Generalized log-likelihood functions and Bregman divergences
Tatsuaki Wada
Based on a two-parameter generalization of Gauss' law of error, a generalized log-likelihood is related to a Bregman divergence. This relation is a two-parameter generalization of the well-known relation between log-likelihood and KullbackLeibler divergence. ... [J. Math. Phys. 50, 113301 (2009)] published Tue Nov 10, 2009.
The spectrum of an open vertex model based on the U_q[SU(2)] at roots of unity. (arXiv:0911.4069v1 [math-ph])
ePrint arXiv http://arXiv.org/
The Efimov's effect for the Fridrix's model. (arXiv:0911.3973v1 [math.FA])
ePrint arXiv http://arXiv.org/
The Efimov's effect for a model of a three particle discrete Shr\"odinger operator. (arXiv:0911.3970v1 [math.FA])
ePrint arXiv http://arXiv.org/
On the Thomas-Fermi ground state in a harmonic potential. (arXiv:0911.3913v1 [math-ph])
ePrint arXiv http://arXiv.org/
Absence of squirt singularities for the multi-phase Muskat problem. (arXiv:0911.4109v1 [math.AP])
ePrint arXiv http://arXiv.org/
Optimal prediction for radiative transfer: A new perspective on moment closure. (arXiv:0806.4707v3 [math-ph] UPDATED)
ePrint arXiv http://arXiv.org/
On spectral stability of solitary waves of nonlinear Dirac equation on a line. (arXiv:0910.0917v5 [math-ph] UPDATED)
ePrint arXiv http://arXiv.org/
Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials. (arXiv:0907.1824v2 [hep-th] UPDATED)
ePrint arXiv http://arXiv.org/
Random graph asymptotics on high-dimensional tori. II. Volume, diameter and mixing time. (arXiv:0903.4279v3 [math.PR] UPDATED)
ePrint arXiv http://arXiv.org/
Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights. (arXiv:0810.4703v2 [math.CO] UPDATED)
ePrint arXiv http://arXiv.org/
Long-range self-avoiding walk converges to alpha-stable processes. (arXiv:0809.4333v2 [math.PR] UPDATED)
ePrint arXiv http://arXiv.org/
Reduced density matrix of permutational invariant many-body systems. (arXiv:0911.3777v1 [quant-ph] CROSS LISTED)
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Tree structures for the current fluctuations in the exclusion process. (arXiv:0911.3618v1 [cond-mat.stat-mech] CROSS LISTED)
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