702 research outputs found

    Algorithm for numerical integration of the rigid-body equations of motion

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    A new algorithm for numerical integration of the rigid-body equations of motion is proposed. The algorithm uses the leapfrog scheme and the quantities involved are angular velocities and orientational variables which can be expressed in terms of either principal axes or quaternions. Due to specific features of the algorithm, orthonormality and unit norms of the orientational variables are integrals of motion, despite an approximate character of the produced trajectories. It is shown that the method presented appears to be the most efficient among all known algorithms of such a kind.Comment: 4 pages, 1 figur

    Optimized Verlet-like algorithms for molecular dynamics simulations

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    New explicit velocity- and position-Verlet-like algorithms of the second order are proposed to integrate the equations of motion in many-body systems. The algorithms are derived on the basis of an extended decomposition scheme at the presence of a free parameter. The nonzero value for this parameter is obtained by reducing the influence of truncated terms to a minimum. As a result, the new algorithms appear to be more efficient than the original Verlet versions which correspond to a particular case when the introduced parameter is equal to zero. Like the original versions, the proposed counterparts are symplectic and time reversible, but lead to an improved accuracy in the generated solutions at the same overall computational costs. The advantages of the new algorithms are demonstrated in molecular dynamics simulations of a Lennard-Jones fluid.Comment: 5 pages, 2 figures; submitted to Phys. Rev.

    WILLS - RIGHT OF CREDITORS OF TESTAMENTARY DONEE TO SET ASIDE HIS RENUNCIATION - RIGHT OF SURVIVING SPOUSE TO SHARE IN INTESTATE PROPERTY AFTER ELECTING TO TAKE UNDER WILL IN LIEU OF HER DISTRIBUTIVE SHARE

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    Testator left all his real and personal property to his wife for life, and the remainder to his son and daughter in equal shares. The widow elected to take under the will in lieu of dower and other legal rights in the estate. The daughter renounced any right under the will, and seven months later filed a petition for voluntary bankruptcy. Her trustee in bankruptcy instituted this suit in equity to annul the renunciation. Held, the daughter had the right to file an unconditional disclaimer of all benefits granted her under the will and her creditors cannot complain thereof; and secondly, the widow having accepted the provisions in the will in lieu of all other legal rights in the estate is not entitled to share in the part of the property passing by intestacy because of the rejection of benefits by another beneficiary. McGarry v. Mathis, (Iowa 1938) 282 N. W. 786

    CONSTITUTIONAL LAW - POWER OF LEGISLATIVE INVESTIGATING COMMITTEE TO SUPERSEDE GRAND JURY

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    The court of quarter sessions of Dauphin County ordered a grand jury investigation of alleged criminal misconduct by civil officers of the commonwealth. The governor then issued a call for a special session of the legislature. When this body had convened, seven members of the House of Representatives were appointed a committee to investigate the charges against those civil officers liable to impeachment. This committee sought a writ of prohibition to restrain the quarter sessions court from proceeding with the grand jury investigation, in pursuance of a statute enacted at the special session of the legislature giving the legislative investigating committee priority over all other investigations of the same charges. Held, that the act was a deprivation of the exercise of a judicial power vested in the court by the constitution of the commonwealth. In re Investigation by Dauphin County Grand Jury (No. 2) 332 Pa. 342, 2 A. (2d) 804 (1938)

    CRIMINAL LAW AND PROCEDURE - CONSTITUTIONALITY OF A COMMENT UPON DEFENDANT\u27S FAILURE TO TESTIFY

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    For several years there has been agitation in legal and legislative circles to permit comment in a criminal action upon the failure of the defendant to testify. Both the American Bar Association and the American Law Institute have passed resolutions favoring such legislation. The chief objection to the proposal has been its alleged unconstitutionality. The purpose of this comment is to attempt to rebut such a contention and to show that the advocated change is both constitutional and eminently desirable

    Light Echoes of Transients and Variables in the Local Universe

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    Astronomical light echoes, the time-dependent light scattered by dust in the vicinity of varying objects, have been recognized for over a century. Initially, their utility was thought to be confined to mapping out the three-dimensional distribution of interstellar dust. Recently, the discovery of spectroscopically-useful light echoes around centuries-old supernovae in the Milky Way and the Large Magellanic Cloud has opened up new scientific opportunities to exploit light echoes. In this review, we describe the history of light echoes in the local Universe and cover the many new developments in both the observation of light echoes and the interpretation of the light scattered from them. Among other benefits, we highlight our new ability to spectroscopically classify outbursting objects, to view them from multiple perspectives, to obtain a spectroscopic time series of the outburst, and to establish accurate distances to the source event. We also describe the broader range of variable objects whose properties may be better understood from light echo observations. Finally, we discuss the prospects of new light echo techniques not yet realized in practice.Comment: 18 pages, 7 figures, 1 table. Accepted for publication in PAS

    Discovery of Bright Galactic R Coronae Borealis and DY Persei Variables: Rare Gems Mined from ACVS

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    We present the results of a machine-learning (ML) based search for new R Coronae Borealis (RCB) stars and DY Persei-like stars (DYPers) in the Galaxy using cataloged light curves from the All-Sky Automated Survey (ASAS) Catalog of Variable Stars (ACVS). RCB stars - a rare class of hydrogen-deficient carbon-rich supergiants - are of great interest owing to the insights they can provide on the late stages of stellar evolution. DYPers are possibly the low-temperature, low-luminosity analogs to the RCB phenomenon, though additional examples are needed to fully establish this connection. While RCB stars and DYPers are traditionally identified by epochs of extreme dimming that occur without regularity, the ML search framework more fully captures the richness and diversity of their photometric behavior. We demonstrate that our ML method can use newly discovered RCB stars to identify additional candidates within the same data set. Our search yields 15 candidates that we consider likely RCB stars/DYPers: new spectroscopic observations confirm that four of these candidates are RCB stars and four are DYPers. Our discovery of four new DYPers increases the number of known Galactic DYPers from two to six; noteworthy is that one of the new DYPers has a measured parallax and is m ~ 7 mag, making it the brightest known DYPer to date. Future observations of these new DYPers should prove instrumental in establishing the RCB connection. We consider these results, derived from a machine-learned probabilistic classification catalog, as an important proof-of-concept for the efficient discovery of rare sources with time-domain surveys.Comment: 18 pages, 2 new figures, accepted for publication in Ap

    Dynamical Properties and Plasmon Dispersion of a Weakly Degenerate Correlated One-Component Plasma

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    Classical Molecular Dynamics (MD) simulations for a one-component plasma (OCP) are presented. Quantum effects are included in the form of the Kelbg potential. Results for the dynamical structure factor are compared with the Vlasov and RPA (random phase approximation) theories. The influence of the coupling parameter Γ\Gamma, degeneracy parameter ρΛ3\rho \Lambda^3 and the form of the pair interaction on the optical plasmon dispersion is investigated. An improved analytical approximation for the dispersion of Langmuir waves is presented.Comment: 23 pages, includes 7 ps/eps-figures and 2 table
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