In 2005, Müller-Plathe accepted a position as a full professor for theoretical physical chemistry at Technische Universität Darmstadt.
In 2015 and 2016, he was visiting fellow in the department of chemical and biological engineering of Princeton University, USA.
He was visiting professor at University of São Paulo, Instituto de Física, Brazil from 1995 to 2000.
[2] His work also includes major development efforts for computational methods, algorithms, models and software.
Methods which go back to him are the Iterative Boltzmann Inversion (IBI) used for generating systematically coarse-grained polymer models for multiscale modeling,[3] reverse non-equilibrium molecular dynamics (RNEMD) for the calculation of thermal conductivities and shear viscosities,[4] as well as the phantom-wall method for obtaining interfacial free energies for the wetting of solid substrates by complex fluids.