43 research outputs found
Thermal structure and cooling of superfluid neutron stars with accreted magnetized envelopes
We study the thermal structure of neutron stars with magnetized envelopes
composed of accreted material, using updated thermal conductivities of plasmas
in quantizing magnetic fields, as well as equation of state and radiative
opacities for partially ionized hydrogen in strong magnetic fields. The
relation between the internal and local surface temperatures is calculated and
fitted by an analytic function of the internal temperature, magnetic field
strength, angle between the field lines and the normal to the surface, surface
gravity, and the mass of the accreted material. The luminosity of a neutron
star with a dipole magnetic field is calculated for various values of the
accreted mass, internal temperature, and magnetic field strength. Using these
results, we simulate cooling of superfluid neutron stars with magnetized
accreted envelopes. We consider slow and fast cooling regimes, paying special
attention to very slow cooling of low-mass superfluid neutron stars. In the
latter case, the cooling is strongly affected by the combined effect of
magnetized accreted envelopes and neutron superfluidity in the stellar crust.
Our results are important for interpretation of observations of isolated
neutron stars hottest for their age, such as RX J0822-43 and PSR B1055-52.Comment: 15 pages, 12 figures, 2 tables. Corrected title only (v2
Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: Testing absence of tangencies of stable and unstable manifolds for phase trajectories
Dynamical equations are formulated and a numerical study is provided for
self-oscillatory model systems based on the triple linkage hinge mechanism of
Thurston -- Weeks -- Hunt -- MacKay. We consider systems with holonomic
mechanical constraint of three rotators as well as systems, where three
rotators interact by potential forces. We present and discuss some quantitative
characteristics of the chaotic regimes (Lyapunov exponents, power spectrum).
Chaotic dynamics of the models we consider are associated with hyperbolic
attractors, at least, at relatively small supercriticality of the
self-oscillating modes; that follows from numerical analysis of the
distribution for angles of intersection of stable and unstable manifolds of
phase trajectories on the attractors. In systems based on rotators with
interacting potential the hyperbolicity is violated starting from a certain
level of excitation.Comment: 30 pages, 18 figure