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The search results for "math.DG" (differential geometry) include diverse topics such as the kinetic description of Landau diamagnetism in degenerate collisional plasma, utilizing quantum plasma conductivity expressions, and wavelet applications in N-body simulations for data de-noising. Additional studies explore the asymptotic properties of collisionless plasma solutions in the relativistic Vlasov-Maxwell system and address radiation-reaction problems in Bopp-Landé-Thomas-Podolsky electrodynamics, contrasting it with Lorentz electrodynamics. There is also a discussion on the implications of Newton's laws on celestial motion and the inverse square law.
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arxiv.org
Landau Diamagnetism of Degenerate Collisional Plasma

For the first time the kinetic description of Landau diamagnetism for degenerate collisional plasma is given. The correct expression for transverse electric conductivity of the quantum plasma, found by authors (see arXiv:1002.1017 [math-ph] 4 Feb 2010) is used. In work S. Dattagupta, A.M. Jayannavar…

math-ph physics.plasm-ph
arxiv.org
A wavelet add-on code for new-generation N-body simulations and data de-noising (JOFILUREN)

Wavelets are a new and powerful mathematical tool, whose most celebrated applications are data compression and de-noising. In Paper I (Romeo, Horellou & Bergh 2003, astro-ph/0302343), we have shown that wavelets can be used for removing noise efficiently from cosmological, galaxy and plasma N-body s…

astro-ph physics.comp-ph physics.plasm-ph
arxiv.org
Outgoing radiation from an isolated collisionless plasma

The asymptotic properties at future null infinity of the solutions of the relativistic Vlasov-Maxwell system whose global existence for small data has been established by the author in a previous work are investigated. These solutions describe a collisionless plasma isolated from incoming radiation.…

math-ph gr-qc physics.plasm-ph
arxiv.org
Radiation-Reaction on the Straight-Line Motion of a Point Charge accelerated by a constant applied Electric Field in an Electromagnetic Bopp-Landé-Thomas-Podolsky vacuum

The radiation-reaction problem of standard Lorentz electrodynamics with point charges is pathological, standing in contrast to Bopp--Landé--Thomas--Podolsky (BLTP) electrodynamics where it is in fact well-defined and calculable, as reported in a previous publication. To demonstrate the viability of…

physics.class-ph gr-qc math-ph
arxiv.org
Yet another approach to the inverse square law and to the circular character of the hodograph of Kepler orbits

The law of centripetal force governing the motion of celestial bodies in eccentric conic sections, has been established and thoroughly investigated by Sir Isaac Newton in his Principia Mathematica. Yet its profound implications on the understanding of such motions is still evolving. In a paper to th…

physics.hist-ph physics.class-ph
arxiv.org
Quantum and Classic Brackets

We describe an $p$-mechanical (see funct-an/9405002 and quant-ph/9610016) brackets which generate quantum (commutator) and classic (Poisson) brackets in corresponding representations of the Heisenberg group. We \emph{do not} use any kind of semiclassic approximation or limiting procedures for $\hbar…

math-ph math.FA math.QA math.RT physics.class-ph
arxiv.org
Numerical analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid

We present and analyze a penalization method wich extends the the method of [1] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface captured by a level set method. The solid velocity is computed by…

math.AP math.NA physics.class-ph
arxiv.org
Can the tidal quality factors of terrestrial planets and moons scale as positive powers of the tidal frequency?

In geophysics and seismology, it is a common knowledge that the quality factors Q of the mantle and crust materials scale as the tidal frequency to a positive fractional power (Karato 2007, Efroimsky and Lainey 2007). In astronomy, there exists an equally common belief that such rheological models i…

astro-ph physics.class-ph physics.geo-ph
arxiv.org
Universal Scaling in Saddle-Node Bifurcation Cascades (II) Intermittency Cascade

The presence of saddle-node bifurcation cascade in the logistic equation is associated with an intermittency cascade; in a similar way as a saddle-node bifurcation is associated with an intermittency. We merge the concepts of bifurcation cascade and intermittency. The mathematical tools necessary fo…

nlin.CD
arxiv.org
Prototype Analog Front-end for Negative-ion Gas and Dual-phase Liquid-Ar TPCs

We report on the recent development of a versatile analog front-end compatible with a negative-ion $μ$-TPC for a directional dark matter search as well as a dual-phase, next-generation $\mathcal{O}$(10~kt) liquid argon TPC to study neutrino oscillations, nucleon decay, and astrophysical neutrinos. …

physics.ins-det