Original scientific paper

Particle-Energy Distribution and Effective Temperature for the Hopping Transport in One-dimensional Disordered System

Eduard Tutiš orcid.org/0000-0003-4858-292X ; Laboratory for the Physics of Transport Phenomena, Institute of Physics, Bijenička c. 46, P. O. Box 304, HR-10001 Zagreb, Croatia
Ivan Jurić ; Laboratory for the Physics of Transport Phenomena, Institute of Physics, Bijenička c. 46, P. O. Box 304, HR-10001 Zagreb, Croatia
Ivo Batistić orcid.org/0000-0003-2292-3407 ; Department of Physics, Faculty of Science, University of Zagreb, Bijenička c. 32, HR-10000 Zagreb, Croatia

Abstract

Recent numerical simulations of the electronic hopping conduction in disordered organics have indicated that the effective temperature may be suitable to describe the ensemble of electrons in the electric field. However, the reasons for the emergence of the effective temperature have not been clarified, and only phenomenological expressions for the effective temperature have been proposed based on numerical simulations. We address these questions here for an analytically tractable one-dimensional model with uncorrelated Gaussian disorder. The exact relation for the distributions of particles in energy is obtained, the analytical expression for the effective temperature is derived, and the limits of the applicability of the concept of the effective temperature are drawn.

Keywords

energy disorder; hopping charge transport; non-equilibrium state; electronic ensemble; organic disordered materials

Hrčak ID:

52240

URI

https://hrcak.srce.hr/52240

Publication date:

30.4.2010.

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