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We present a theory for Casimir--Polder forces acting on greenhouse gasmolecules dissolved in a thin water film. Such a nanosized film has recentlybeen predicted to arise on th surface of melting ice as stabilized by repulsiveLifshitz forces. We show that different models for the effective polarizabilityof greenhouse gas molecules in water lead to different predictions for howCasimir--Polder forces influence the extraction of CH$_4$ and CO$_2$ moleculesfrom the melting ice surface. In the most intricate model of a finite-sizedmolecule inside a cavity, dispersion potentials push the methane moleculestowards the ice surface whereas the carbon dioxide typically will be attractedtowards the closest interface (ice or air). Previous models for effectivepolarizability had suggested that CO$_2$ would also be pushed towards the icesurface. Release of greenhouse gas molecules from the surface of melting icecan potentially influence climate greenhouse effects.

Impact of effective polarisability models on the predicted release dynamics of CH$_4$ and CO$_2$ from premelted ice