Time-dependent couplings and crossover length scales in nonequilibrium surface roughening

Time and length scales in spin glasses

We discuss the slow, nonequilibrium, dynamics of spin glasses in their glassy phase. We briefly review the present theoretical understanding of the spectacular phenomena observed in experiments and describe new numerical results obtained in the first large-scale simulation of the nonequilibrium dynamics of the three-dimensional Heisenberg spin glass. 1. Why do we study spin glass dynamics? Spin...

Time and length scales in supercooled liquids.

We numerically obtain a quantitative demonstration that development of spatial correlations of mobility as temperature is lowered is responsible for the "decoupling" of transport properties of supercooled liquids. This result further demonstrates the necessity of a spatial description of the glass formation and therefore seriously challenges a number of popular alternative theoretical descripti...

Nonequilibrium dynamics below the super-roughening transition

The nonequilibrium relaxational dynamics of the solid-on-solid model on a disordered substrate and the sine-Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature Tg our results for the autocorrelations, spatial correlations, and response function as well as for the fluctuation dissipation ratio agree well with the prediction of a recent one-loop...

Epitaxial Nanostructures across Length and Time Scales

Describing soil surface microrelief by crossover length and fractal dimension

Accurate description of soil surface topography is essential because different tillage tools produce different soil surface roughness conditions, which in turn affects many processes across the soil surface boundary. Advantages of fractal analysis in soil microrelief assessment have been recognised but the use of fractal indices in practice remains challenging. There is also little information ...