6533b85afe1ef96bd12b9696

RESEARCH PRODUCT

Aging in a free-energy landscape model for glassy relaxation. II. Fluctuation-dissipation relations.

Gregor DiezemannRoland Böhmer

subject

Correlation function (statistical mechanics)ChemistrySpin–lattice relaxationGeneral Physics and AstronomyEnergy landscapeRelaxation (physics)Dielectric lossStatistical physicsPhysical and Theoretical ChemistryDissipationSupercoolingMeasure (mathematics)

description

Several fluctuation-dissipation relations are investigated for a simple free-energy landscape model designed to describe the primary relaxation in supercooled liquids. The calculations of the response and of the correlation functions are performed for a quench from a high temperature to a low temperature. In the model, all dynamical quantities reach equilibrium after long times, but for times shorter than the re-equilibration time they do not exhibit time-translational invariance and the fluctuation-dissipation theorem is violated. Two measures for these violations are considered. One such measure is given by the slope in a plot of the integrated response versus the correlation function and another one by the so-called fluctuation-dissipation ratio. It is found that these measures do not coincide and furthermore are not independent of the dynamical variable considered in the calculation. We propose to determine the fluctuation-dissipation ratio experimentally via measurements of the deuteron spin-lattice relaxation rate and the dielectric loss.

10.1063/1.2202351https://pubmed.ncbi.nlm.nih.gov/16774423