
Current research of Prof. Dohm

A detailed overview can be found in
"Phase Transitions", Encyclopedia of Physics, 3rd edition, edited by R.G. Lerner and G.L. Trigg, VCH Publ., New York (2005), p. 1901.
Comparisons between our theoretical predictions and experiments under
microgravity and at the superfluid transition of ^{4}He can be
found in these review articles:
"Critical
phenomena in microgravity: past, present, and future" by
M. Barmatz et al. in Rev. Mod. Phys . 79, 1 (2007), and
"Finitesizescaling of ^{4}He at the superfluid
transition" von F.M. Gasparini et al. in Rev. Mod. Phys. 80, 1009 (2008)
Examples for Phase Transitions 
liquid    solid 
paramagnetic    ferromagnetic (CurieTemperature T_{C}) 
normal conductivity    superconductivity 
normal fluid    superfluid (^{4}He) 
thermal light    coherent light (laser) 
diffusive transport    convective transport (Bénardinstability) 
Prediction of RenormalizationGroup theory

Material independent features of different systems near the critical point:
Universality and Scaling
Current research:
What is the range of validity of universality in real systems?
What is the range of validity of scaling in real systems?
Theoretical description using methods of field theory
(renormalizationgroup theory) and lattice models, methodological analogies
to elementary particle physics.
 diagrammatic perturbation theory
 renormalizationgroup methods
 stochastic dynamic models
 analytic solution of statistical models
 Borel resummation
 numerical methods
 computer simulations
 Real systems: superfluid ^{4}He (ideal system for testing the theory), real
fluids and magnetic systems
 Explanation of roundings of the singularities in (finite) computer models
 Predictions for highprecision experiments under microgravity conditions
(NASA Program:
Fundamental Physics in Space)
 MISTE:
Microgravity Scaling Theory Experiment
 BEST:
Boundary Effects Near the Superfluid Transition
 SUE:
Superfluid Universality Experiment
 DYNAMX:
Critical Dynamics in Microgravity
 EXACT:
Experiments Along Coexistence near Tricritality
