On the definition of temperature in dense granular media

Details On the definition of temperature in dense granular media On the definition of temperature in dense granular media

2001-11-23

arxiv.org/abs/cond-mat/0111458v1

Phys. Rev. E 65, 050301 (2002)

Physics

Condensed Matter

Statistical Mechanics

RevTex4 4 pages, 4 eps figures

Scientific paper

10.1103/PhysRevE.65.050301

In this Letter we report the measurement of a pseudo-temperature for compacting granular media on the basis of the Fluctuation-Dissipation relations in the aging dynamics of a model system. From the violation of the Fluctuation-Dissipation Theorem an effective temperature emerges (a dynamical temperature T_{dyn}) whose ratio with the equilibrium temperature T_d^{eq} depends on the particle density. We compare the results for the Fluctuation-Dissipation Ratio (FDR) T_{dyn}/T_d^{eq} at several densities with the outcomes of Edwards' approach at the corresponding densities. It turns out that the FDR and the so-called Edwards' ratio coincide at several densities (very different ages of the system), opening in this way the door to experimental checks as well as theoretical constructions.

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