The Sensitivity Analysis of the Optimal Length of Life -the Numerical Approach-.

This paper solves the pure consumption Grossman model numerically following dynamic programming method, and undertakes sensitivity analysis of the optimal length of life. This is the first analysis that treats the determination of optimal length of life explicitly with numerical analysis.MATHEMATICS ; LIFE

76 BASIC FIBROBLAST GROWTH FACTOR INDUCES OSTEOGENESIS AND SUPPRESSES THE PROGRESSION OF SECONDARY OA IN A RABBIT MODEL OF OSTEONECROSIS OF THE FEMORAL HEAD

This study is a historical linguistic investigation entitled The Phonemic − Syllabic Comparisons of Standard Malay and Palembang Malay Using a Historical Linguistic Perspective which aims to explore the types of sound changes found in Palembang Malay. The investigation uses a historical linguistic comparative method to compare the phonemic and syllabic changes between an ancestral language Standard Malay and its decent language Palembang Malay. Standard Malay refers to the Wilkinson dictionary in 1904. The participants of this study are seven native speakers of Palembang Malay whose ages range from 20 to 40 years old. The data were collected from the voices of the participants that were recorded along group conversations and interviews. This study applies the theoretical framework of sound changes which proposed by Terry Crowley in 1997 and Lily Campbell in 1999. The findings show that there are nine types of sound changes that were found as the results, namely assimilation (42.35%), lenition (20%), sound addition (3.53%), metathesis (1.18%), dissimilation (1.76%), abnormal sound changes (3.53%), split (13.53%), vowel rising (10.59%), and monophthongisation (3.53%). Keywords: Historical linguistics, standard Malay, Palembang Malay, comparative method, sound change, phoneme, syllable.

Kagom\'{e} ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}

We have investigated the kagom\'{e} ice behavior of the dipolar spin-ice compound Dy_{2}Ti_{2}O_{7} in magnetic field along a [111] direction using neutron scattering and Monte Carlo simulations. The spin correlations show that the kagom\'{e} ice behavior predicted for the nearest-neighbor (NN) interacting model, where the field induces dimensional reduction and spins are frustrated in each two-dimensional kagom\'{e} lattice, occurs in the dipole interacting system. The spins freeze at low temperatures within the macroscopically degenerate ground states of the NN model.Comment: 5 pages, 3 figures, submitted to PR

Orbital-Order Driven Ferroelectricity and Dipolar Relaxation Dynamics in Multiferroic GaMo4_4S8_8

We present the results of broadband dielectric spectroscopy of GaMo$_4$S$_8$, a lacunar spinel system that recently was shown to exhibit non-canonical, orbitally-driven ferroelectricity. Our study reveals complex relaxation dynamics of this multiferroic material, both above and below its Jahn-Teller transition at T$_{\textrm{JT}}=47$ K. Above T$_{\textrm{JT}}$, two types of coupled dipolar-orbital dynamics seem to compete: relaxations within cluster-like regions with short-range polar order like in relaxor ferroelectrics and critical fluctuations of only weakly interacting dipoles, the latter resembling the typical dynamics of order-disorder type ferroelectrics. Below the Jahn-Teller transition, the onset of orbital order drives the system into long-range ferroelectric order and dipolar dynamics within the ferroelectric domains is observed. The coupled dipolar and orbital relaxation behavior of GaMo$_4$S$_8$ above the Jahn-Teller transition markedly differs from that of the skyrmion host GaV$_4$S$_8$, which seems to be linked to differences in the structural distortions of the two systems on the unit-cell level.Comment: 6 pages, 3 figures + Supplemental Material (2 pages, 2 figures

Anisotropic magnetic diffuse scattering in an easy-plane type antiferromagnet ErNi2_{2}Ge2_{2}

We report on neutron scattering studies of a rare earth intermetallic compound ErNi$_{2}$Ge$_{2}$. Polarized neutron scattering experiments revealed that the magnetic ordered moment ${\bm m}$ lies in ab-plane. Taking account of a lack of the third higher harmonic reflection, ErNi$_{2}$Ge$_{2}$ is considered to have a helical magnetic structure. The magnetic scattering profiles along the $[100]^{\ast}$- and the $[110]^{\ast}$-directions are well described by the sum of Gaussian and modified-Lorentzian terms, even far below $T_{\scriptsize N}$, indicating that short-range orders coexist with a long-range order. Interestingly, the modified-Lorentzian-type diffuse scattering is not present in the profiles along the $[001]^{\ast}$-direction. The anisotropy of the diffuse scattering suggests that the short-range-order consists of one dimensional long-range helices along the c-axis.Comment: 4 pages, to be published in J. Phys.: Condens. Matter (HFM2008

Existence of a phase transition under finite magnetic field in the long-range RKKY Ising spin glass Dyx_{x}Y1−x_{1-x}Ru2_{2}Si2_{2}

A phase transition of a model compound of the long-range Ising spin glass (SG) Dy$_{x}$Y$_{1-x}$Ru$_{2}$Si$_{2}$, where spins interact via the RKKY interaction, has been investigated. The static and the dynamic scaling analyses reveal that the SG phase transition in the model magnet belongs to the mean-field universality class. Moreover, the characteristic relaxation time in finite magnetic fields exhibits a critical divergent behavior as well as in zero field, indicating a stability of the SG phase in finite fields. The presence of the SG phase transition in field in the model magnet strongly syggests that the replica symmetry is broken in the long-range Ising SG.Comment: 4 pages, 4 figures, to be published in JPSJ (2010