Mean-field calculation of critical parameters and log-periodic characterization of an aperiodic-modulated model

We employ a mean-field approximation to study the Ising model with aperiodic modulation of its interactions in one spatial direction. Two different values for the exchange constant, $J_A$ and $J_B$, are present, according to the Fibonacci sequence. We calculated the pseudo-critical temperatures for finite systems and extrapolate them to the thermodynamic limit. We explicitly obtain the exponents $\beta$, $\delta$, and $\gamma$ and, from the usual scaling relations for anisotropic models at the upper critical dimension (assumed to be 4 for the model we treat), we calculate $\alpha$, $\nu$, $\nu_{//}$, $\eta$, and $\eta_{//}$. Within the framework of a renormalization-group approach, the Fibonacci sequence is a marginal one and we obtain exponents which depend on the ratio $r \equiv J_B/J_A$, as expected. But the scaling relation $\gamma = \beta (\delta -1)$ is obeyed for all values of $r$ we studied. We characterize some thermodynamic functions as log-periodic functions of their arguments, as expected for aperiodic-modulated models, and obtain precise values for the exponents from this characterization.Comment: 17 pages, including 9 figures, to appear in Phys. Rev.

An Assessment of Mobile Predator Populations along Shallow and Mesophotic Depth Gradients in the Hawaiian Archipelago.

Large-bodied coral reef roving predators (sharks, jacks, snappers) are largely considered to be depleted around human population centers. In the Hawaiian Archipelago, supporting evidence is primarily derived from underwater visual censuses in shallow waters (=30?m). However, while many roving predators are present or potentially more abundant in deeper strata (30-100?m+), distributional information remains sparse. To partially fill that knowledge gap, we conducted surveys in the remote Northwestern Hawaiian Islands (NWHI) and populated Main Hawaiian Islands (MHI) from 2012-2014 using baited remote underwater stereo-video. Surveys between 0-100?m found considerable roving predator community dissimilarities between regions, marked conspicuous changes in species abundances with increasing depth, and largely corroborated patterns documented during shallow water underwater visual censuses, with up to an order of magnitude more jacks and five times more sharks sampled in the NWHI compared to the MHI. Additionally, several species were significantly more abundant and larger in mesophotic versus shallow depths, which remains particularly suggestive of deep-water refugia effects in the MHI. Stereo-video extends the depth range of current roving predator surveys in a more robust manner than was previously available, and appears to be well-suited for large-scale roving predator work in the Hawaiian Archipelago

An Inverse Method to Obtain Porosity, Fibre Diameterand Density of Fibrous Sound Absorbing Materials

Characterization of sound absorbing materials is essential to predict its acoustic behaviour. The most commonly used models to do so consider the flow resistivity, porosity, and average fibre diameter as parameters to determine the acoustic impedance and sound absorbing coefficient. Besides direct experimental techniques, numerical approaches appear to be an alternative to estimate the material's parameters. In this work an inverse numerical method to obtain some parameters of a fibrous material is presented. Using measurements of the normal incidence sound absorption coefficient and then using the model proposed by Voronina, subsequent application of basic minimization techniques allows one to obtain the porosity, average fibre diameter and density of a sound absorbing material. The numerical results agree fairly well with the experimental data.This work has been supported by the Ministerio de Educacion y Ciencia-D.G. Investigacion (BIA2007-68098-C02-01 and BIA2007-68098-C02-02) and also from the Spanish Ministry of Foreign Affairs and Cooperation through the Inter-University and Scientific Research Cooperation Program (A/023748/09).Alba Fernández, J.; Rey Tormos, RMD.; Ramis Soriano, J.; Arenas, JP. (2011). An Inverse Method to Obtain Porosity, Fibre Diameterand Density of Fibrous Sound Absorbing Materials. Archives of Acoustics. 36(3):561-574. https://doi.org/10.2478/v10168-011-0040-xS561574363Allard, J., & Champoux, Y. (1992). New empirical equations for sound propagation in rigid frame fibrous materials. The Journal of the Acoustical Society of America, 91(6), 3346-3353. doi:10.1121/1.402824Attenborough, K. (1983). Acoustical characteristics of rigid fibrous absorbents and granular materials. The Journal of the Acoustical Society of America, 73(3), 785-799. doi:10.1121/1.389045Bies, D. A., & Hansen, C. H. (1980). Flow resistance information for acoustical design. Applied Acoustics, 13(5), 357-391. doi:10.1016/0003-682x(80)90002-xChampoux, Y., Stinson, M. R., & Daigle, G. A. (1991). Air‐based system for the measurement of porosity. The Journal of the Acoustical Society of America, 89(2), 910-916. doi:10.1121/1.1894653Crocker, M. J., & Arenas, J. P. (s. f.). Use of Sound-Absorbing Materials. Handbook of Noise and Vibration Control, 696-713. doi:10.1002/9780470209707.ch57Delany, M. E., & Bazley, E. N. (1970). Acoustical properties of fibrous absorbent materials. Applied Acoustics, 3(2), 105-116. doi:10.1016/0003-682x(70)90031-9Dunn, I. P., & Davern, W. A. (1986). Calculation of acoustic impedance of multi-layer absorbers. Applied Acoustics, 19(5), 321-334. doi:10.1016/0003-682x(86)90044-7Fellah, Z. E. A., Berger, S., Lauriks, W., Depollier, C., Aristégui, C., & Chapelon, J.-Y. (2003). Measuring the porosity and the tortuosity of porous materials via reflected waves at oblique incidence. The Journal of the Acoustical Society of America, 113(5), 2424-2433. doi:10.1121/1.1567275Fellah, Z. E. A., Berger, S., Lauriks, W., Depollier, C., & Fellah, M. (2003). Measuring the porosity of porous materials having a rigid frame via reflected waves: A time domain analysis with fractional derivatives. Journal of Applied Physics, 93(1), 296-303. doi:10.1063/1.1524025Fellah, Z. E. A., Berger, S., Lauriks, W., Depollier, C., Trompette, P., & Chapelon, J. Y. (2003). Ultrasonic measurement of the porosity and tortuosity of air-saturated random packings of beads. Journal of Applied Physics, 93(11), 9352-9359. doi:10.1063/1.1572191Fellah, Z. E. A., Mitri, F. G., Fellah, M., Ogam, E., & Depollier, C. (2007). Ultrasonic characterization of porous absorbing materials: Inverse problem. Journal of Sound and Vibration, 302(4-5), 746-759. doi:10.1016/j.jsv.2006.12.007Garai, M., & Pompoli, F. (2005). A simple empirical model of polyester fibre materials for acoustical applications. Applied Acoustics, 66(12), 1383-1398. doi:10.1016/j.apacoust.2005.04.008ISO (1998), 10534-2:1998. Acoustics - determination of sound absorption coefficient and impedance in impedance tubes - Part 2: transfer-function method, International Organization for Standardization, Geneva.Miki, Y. (1990). Acoustical properties of porous materials. Modifications of Delany-Bazley models. Journal of the Acoustical Society of Japan (E), 11(1), 19-24. doi:10.1250/ast.11.19Miki, Y. (1990). Acoustical properties of porous materials. Generalizations of empirical models. Journal of the Acoustical Society of Japan (E), 11(1), 25-28. doi:10.1250/ast.11.25Ramis, J., Alba, J., Del Rey, R., Escuder, E., & Sanchís, V. J. (2010). Nuevos materiales absorbentes acústicos basados en fibra de kenaf. Materiales de Construcción, 60(299), 133-143. doi:10.3989/mc.2010.50809Shoshani, Y., & Yakubov, Y. (2000). Numerical assessment of maximal absorption coefficients for nonwoven fiberwebs. Applied Acoustics, 59(1), 77-87. doi:10.1016/s0003-682x(99)00015-8Umnova, O., Attenborough, K., Shin, H.-C., & Cummings, A. (2005). Deduction of tortuosity and porosity from acoustic reflection and transmission measurements on thick samples of rigid-porous materials. Applied Acoustics, 66(6), 607-624. doi:10.1016/j.apacoust.2004.02.005Voronina, N. (1994). Acoustic properties of fibrous materials. Applied Acoustics, 42(2), 165-174. doi:10.1016/0003-682x(94)90005-1Voronina, N. (1996). Improved empirical model of sound propagation through a fibrous material. Applied Acoustics, 48(2), 121-132. doi:10.1016/0003-682x(95)00055-eVoronina, N. (1998). An empirical model for elastic porous materials. Applied Acoustics, 55(1), 67-83. doi:10.1016/s0003-682x(97)00098-4Voronina, N. (1999). An empirical model for rigid-frame porous materials with low porosity. Applied Acoustics, 58(3), 295-304. doi:10.1016/s0003-682x(98)00076-0Voronina, N. ., & Horoshenkov, K. . (2003). A new empirical model for the acoustic properties of loose granular media. Applied Acoustics, 64(4), 415-432. doi:10.1016/s0003-682x(02)00105-6Wang, X., Eisenbrey, J., Zeitz, M., & Sun, J. Q. (2004). Multi-stage regression analysis of acoustical properties of polyurethane foams. Journal of Sound and Vibration, 273(4-5), 1109-1117. doi:10.1016/j.jsv.2003.09.039Wilson, D. K. (1997). Simple, relaxational models for the acoustical properties of porous media. Applied Acoustics, 50(3), 171-188. doi:10.1016/s0003-682x(96)00048-

Phrase-final words in Greek storytelling speech: a study on the effect of a culturally-specific prosodic feature on short-term memory

Prosodic patterns of speech appear to make a critical contribution to memoryrelated processing. We considered the case of a previously unexplored prosodic feature of Greek storytelling and its effect on free recall in thirty typically developing children between the ages of 10 and 12 years, using short ecologically valid auditory stimuli. The combination of a falling pitch contour and, more notably, extensive final-syllable vowel lengthening, which gives rise to the prosodic feature in question, led to statistically significantly higher performance in comparison to neutral phrase-final prosody. Number of syllables in target words did not reveal substantial difference in performance. The current study presents a previously undocumented culturally-specific prosodic pattern and its effect on short-term memory

Calculus demonstrations using Matlab

The note discusses ways in which technology can be used in the calculus learning process. In particular, five MATLAB programs are detailed for use by instructors or students that demonstrate important concepts in introductory calculus: Newton’s method, differentiation and integration. Two of the programs are animated. The programs and the graphical user interface have been specifically designed to help the student understand the processes behind these important introductory concepts. Each program has a series of demonstrations that show unusual, difficult or important cases

Modifications of the continuation method for the solution of systems of nonlinear equations

Modifications are proposed to the Davidenko-Broyden algorithm for the solution of a system of nonlinear equations. The aim of the modifications is to reduce the overall number of function evaluations by limiting the number of function evaluations for any one subproblem. To do this alterations are made to the strategy used in determining the subproblems to be solved. The modifications are compared with other methods for a wide range of test problems, and are shown to significantly reduce the number of function evaluations for the difficult problems. For the easier problems the modified method is equivalent to the Davidenko-Broyden algorithm