On the ancestral process of long-range seed bank models

We present a new model for seed banks, where direct ancestors of individuals may have lived in the near as well as the very far past. The classical Wright‒Fisher model, as well as a seed bank model with bounded age distribution considered in Kaj, Krone and Lascoux (2001) are special cases of our model. We discern three parameter regimes of the seed bank age distribution, which lead to substantially different behaviour in terms of genetic variability, in particular with respect to fixation of types and time to the most recent common ancestor. We prove that, for age distributions with finite mean, the ancestral process converges to a time-changed Kingman coalescent, while in the case of infinite mean, ancestral lineages might not merge at all with positive probability. Furthermore, we present a construction of the forward-in-time process in equilibrium. The mathematical methods are based on renewal theory, the urn process introduced in Kaj, Krone and Lascoux (2001) as well as on a paper by Hammond and Sheffield (2013)

Gas solubilities in room temperature ionic liquids - Correlation between RTiL-molar mass and Henry's law constant

The solubility of CO2, CH4, N2, and CO was measured in a broad number of ionic liquids using a pressure drop set-up. A successful correlation of the Henry's law constants at 60°C was made to two empirical models already described in literature (Camper et al. [13] and Moganty and Baltus [25]). Subsequently, a new empirical model was proposed, which describes the Henry's law constant as a function of the molar mass of the ionic liquid, as long as physical interactions between gas and ionic liquid are dominant. Additionally, the entropy and enthalpy of solvation was studied by means of the temperature influence to the Henry's law constant