6533b7d0fe1ef96bd125abe2

RESEARCH PRODUCT

A mode coupling analysis of the central peak at order disorder phase transitions

T. M. FischerRolf Schilling

subject

PhysicsMomentumPhase transitionCondensed matter physicsMode couplingPhase (waves)General Materials ScienceSymmetry breakingInvariant (mathematics)Condensed Matter PhysicsCoupling (probability)Critical exponentElectronic Optical and Magnetic Materials

description

The influence of local and translation invariant memory effects on the critical dynamics of a model undergoing a continous structural phase transition from a disordered (T>Tc) to an ordered distorted phase (T>Tc) is studied by mode coupling theory above the critical temperatureTc. It is shown that besides the existence of critical slowing-down modes there also exists a central peak as a consequence of correlations of the critical modes, increasing with the critical exponent γ when approachingTc. The dependence of the central peak on the wavevector\(\vec q\), temperatureT and on the spatial dimensiond is investigated. Ford=3 a scenario withlocal long time memory correlations is compared with respect to its temperature and momentum dependence with a model using translation invariant long time memory correlations.

https://doi.org/10.1007/bf01309169