Einstein relation and effective temperature for systems with quenched disorder

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 3, 2009, Pages

  Shemer, Z ^a   Barkai, E ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS-TIME RANDOM WALK; DIFFUSIVITIES; DISORDERED SYSTEM; EFFECTIVE TEMPERATURE; EINSTEIN RELATIONS; EXTERNAL FIELDS; FLUCTUATION-DISSIPATION RATIOS; INDEPENDENT MEASUREMENT; MEAN-FIELD; QUENCHED DISORDER; STOCHASTIC VARIABLE; THERMAL EQUILIBRIUMS;

RANDOM PROCESSES; RANDOM VARIABLES; TEMPERATURE;

CONTINUOUS TIME SYSTEMS;

EID: 70349503655     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.031108     Document Type: Article

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19. A and B presents two independent samples or equivalently the same sample but with different initial conditions. We consider sample with free boundary condition and assume measurements are made at large enough distances (or not too long times).
20. In the normal phase th is not defined, just for comparison with the results of T< Tg we scale our results in Fig. 2 with th =2× 106.
21. In Fig. 1 a thermal average over 106 particles was made. In Fig. 2 the number of particles simulated for the thermal average is 106 for α<1 and 105 for α>1. In simulations Ex at each site is raffled from ρ (E), the waiting time in each site is taken as τx.
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24. We also measured the variance of β eff -1 and found it to be finite. Details in future work.