H. K. Biernat

The recently discovered low-density "super-Earths" Kepler-11b, Kepler-11f, Kepler-11d, Kepler-11e, and planets such as GJ 1214b represent most likely planets which are surrounded by dense H/He envelopes or contain deep H2O oceans also surrounded by dense hydrogen envelopes. Although these "super-Earths" are orbiting relatively close to their host stars, they have not lost their captured nebula-based hydrogen-rich or degassed volatile-rich steam protoatmospheres. Thus it is interesting to estimate the maximum possible amount of atmospheric hydrogen loss from a terrestrial planet orbiting within the habitable zone of late main sequence host stars. For studying the thermosphere structure and escape we apply a 1-D hydrodynamic upper atmosphere model which solves the equations of mass, momentum and energy conservation for a planet with the mass and size of the Earth and for a "super-Earth" with a size of 2 R_Earth and a mass of 10 M_Earth. We calculate volume heating rates by the stellar soft X-ray and EUV radiation and expansion of the upper atmosphere, its temperature, density and velocity structure and related thermal escape rates during planet's life time. Moreover, we investigate under which conditions both planets enter the blow-off escape regime and may therefore experience loss rates which are close to the energy-limited escape. Finally we discuss the results in the context of atmospheric evolution and implications for habitability of terrestrial planets in general.

A new kind of magnetohydrodynamic waves is analyzed for a current sheet in the presence of a small normal magnetic field component (B_z) varying along the sheet. For the initial undisturbed state, a simplified model of the current sheet is considered with a Harris‐like current density distribution across the sheet. Within the framework of this model, an analytical solution is obtained for the flapping‐type wave oscillations and instability, related to the gradient of the normal magnetic field component along the current sheet. The flapping wave frequency is found to be a function of the wave number, which has an asymptotic saturation for large wave numbers. This frequency is pure real in a stable situation for the magnetotail current sheet, when the B_z component increases toward Earth. The current sheet becomes unstable in some regions, where the B_z component decreases locally toward Earth. In the stable region, the “kink”‐like wave oscillations are calculated for an initial Gaussian perturbation localized to the center of the current sheet. The flapping wave propagations are analyzed for two cases: (1) the initial perturbation is fixed, and (2) the source is moving toward Earth. In the last case, the Mach cone is obtained for the propagating flapping waves. The source for the flapping waves is associated with the fast plasma flow originated from the reconnection region.

Relativistic jet phenomena are most often observed in the vicinity of black holes, where the surrounding plasma accretion plays an important role in the formation of these jets. The presence of a magnetic field is crucial since it has a significant effect on the accretive behaviour of a plasma. Primarily, the magnetic field links the central source with the ambient plasma and can be considered as a set of wires which can transport energy toward the black hole and away by means of MHD waves. Moreover, the magnetic field is able to collimate the plasma flow, which gives rise to a relativistic jet formation. To investigate the behaviour of a magnetized plasma accretion around a spinning black hole we use a string approach, which allows to depict the magnetized plasma as a set of magnetic flux tubes/string. It turned out that the interaction of the magnetic flux tube with the spinning black hole leads to an energy extraction process, which is attended by a relativistic jet creation. The influence of the reconnection process on the jet evolution leads to the formation of plasmoids, which move outward from the central source and remove energy and angular momentum. This process can be repeated over and over and finally the jet structure is composed of a chain of plasmoids which propagate along the spin hole axis.

A new kind of magnetohydrodynamic waves are analyzed for a current sheet in a presence of a small normal magnetic field component varying along the sheet. As a background, two simplified models of a current sheet are considered with a uniform and nonuniform current distributions in the current sheet. On a basis of these two models, the flapping‐type waves are obtained which are related to a coexistence of two gradients of the tangential and normal magnetic field components along the normal and tangential directions with respect to the current sheet. A stable situation for the current sheet is associated with a positive result of the multiplication of the two magnetic gradients, and unstable (wave growth) condition corresponds to a negative result of the product. In the stable region, the “kink”‐like wave mode is interpreted as so called flapping waves observed in the Earth's magnetotail current sheet.

Observational evidence of a hydrodynamically evaporating upper atmosphere of HD209458b (Vidal-Madjar et al. 2003; 2004) and recent theoretical studies on evaporation scenarios of ``Hot Jupiters'' in orbits around solar-like stars with the age of the Sun indicate that the upper atmospheres of short-periodic exoplanets experience hydrodynamic blow-off conditions resulting in loss rates of the order of about 10^10 - 10^12 g s^-1 (Lammer et al. 2003; Yelle 2004; Baraffe et al. 2004; Lecavlier des Etangs et al. 2004; Jaritz et al. 2005, Tian et al. 2005; Penz et al. 2007). By studying the effect of the Roche lobe on the atmospheric loss from short-periodic gas giants we found, that the effect of the Roche lobe can enhance the hydrodynamic evaporation from HD209458b by about 2 and from OGLE-TR-56b by about 2.5 times. For similar exoplanets which are closer to their host star than OGLE-TR-56b, the enhancement of the mass loss can be even larger. Moreover, we show that the effect of the Roche lobe raises the possibility that ``Hot Jupiters'' can reach blow-off conditions at temperatures which are less than expected (< 10000 K) due to the stellar X-ray and EUV (XUV) heating.