@misc{SandinSteffenJacobetal.2011,
  author    = {Sandin, Christer and Steffen, Matthias and Jacob, Ralf and Sch{\"o}nberner, Detlef and R{\"u}hling, Ute and Hamann, Wolf-Rainer and Todt, Helge Tobias},
  title     = {The role of heat conduction to the formation of [WC]-type planetary nebulae},
  series = {Proceedings of the International Astronomical Union},
  journal   = {Proceedings of the International Astronomical Union},
  number    = {582},
  issn      = {1866-8372},
  doi       = {10.25932/publishup-41370},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-413702},
  pages     = {494 -- 495},
  year      = {2011},
  abstract  = {X-ray observations of young Planetary Nebul{\ae} (PNe) have revealed diffuse emission in extended regions around both H-rich and H-deficient central stars. In order to also repro-duce physical properties of H-deficient objects, we have, at first, extended our time-dependent radiation-hydrodynamic models with heat conduction for such conditions. Here we present some of the important physical concepts, which determine how and when a hot wind-blown bubble forms. In this study we have had to consider the, largely unknown, evolution of the CSPN, the slow (AGB) wind, the fast hot-CSPN wind, and the chemical composition. The main conclusion of our work is that heat conduction is needed to explain X-ray properties of wind-blown bubbles also in H-deficient objects.},
  language  = {en}
}
@article{SandinSteffenSchoenberneretal.2016,
  author    = {Sandin, C. and Steffen, M. and Schoenberner, D. and R{\"u}hling, Ute},
  title     = {Hot bubbles of planetary nebulae with hydrogen-deficient winds I. Heat conduction in a chemically stratified plasma},
  series = {Frontiers in psychology},
  volume    = {586},
  journal   = {Frontiers in psychology},
  publisher = {EDP Sciences},
  address   = {Les Ulis},
  issn      = {1432-0746},
  doi       = {10.1051/0004-6361/201527357},
  pages     = {11},
  year      = {2016},
  abstract  = {Heat conduction has been found a plausible solution to explain discrepancies between expected and measured temperatures in hot bubbles of planetary nebulae (PNe). While the heat conduction process depends on the chemical composition, to date it has been exclusively studied for pure hydrogen plasmas in PNe. A smaller population of PNe show hydrogen-deficient and helium-and carbon-enriched surfaces surrounded by bubbles of the same composition; considerable differences are expected in physical properties of these objects in comparison to the pure hydrogen case. The aim of this study is to explore how a chemistry-dependent formulation of the heat conduction affects physical properties and how it affects the X-ray emission from PN bubbles of hydrogen-deficient stars. We extend the description of heat conduction in our radiation hydrodynamics code to work with any chemical composition. We then compare the bubble-formation process with a representative PN model using both the new and the old descriptions. We also compare differences in the resulting X-ray temperature and luminosity observables of the two descriptions. The improved equations show that the heat conduction in our representative model of a hydrogen-deficient PN is nearly as efficient with the chemistry-dependent description; a lower value on the diffusion coefficient is compensated by a slightly steeper temperature gradient. The bubble becomes somewhat hotter with the improved equations, but differences are otherwise minute. The observable properties of the bubble in terms of the X-ray temperature and luminosity are seemingly unaffected.},
  language  = {en}
}