We analytically study the shock wave in Josephson transmission line (JTL) presence of ohmic dissipation. When resistors shunt junctions (JJ) or are introduced series with ground capacitors, is broadened. JJ, remains sharp, as it was absence In all cases considered, do not influence propagation velocity. an alternative to wave—an expansion fan—in framework simple approximation for dissipationles...

The nonlinear evolution of the magnetorotational instability (MRI) in weakly ionized accretion disks, including the effect of the Hall term and ohmic dissipation, is investigated using local three-dimensional MHD simulations and various initial magnetic field geometries. When the magnetic Reynolds number, ReM ≡ v2 A/ηΩ (where vA is the Alfvén speed, η the magnetic diffusivity, and Ω the angular...

Synopsis This chapter reviews theoretical approaches to calculating the energy and entropy budgets of the Earth’s core. The energy budget allows the growth of the inner core with time to be calculated; the entropy budget determines whether or not a geodynamo can function. The present-day geodynamo is driven primarily by compositional convection, with latent heat, secular cooling and (possibly) ...

We formulate the problem of magnetic field dissipation during the accretion phase of low-mass star formation, and we carry out the first step of an iterative solution procedure by assuming that the gas is in free-fall along radial field lines. This so-called “kinematic approximation” ignores the back reaction of the Lorentz force on the accretion flow. In quasi steady-state, and assuming the re...

2014 The problem of asymptotic-time symmetry breaking for a particle in a symmetric double-well, interacting with phonons, is formulated for a standard minimal two-site model and for initially asymmetric particle distribution and thermal but unrelaxed phonons. The timeconvolutionless Generalized Master Equations can be handled explicitly in the Born approximation. Formally extending the solutio...