# SKM 2023 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 42: Poster: Active Matter, Soft Matter, Fluids

### DY 42.17: Poster

### Donnerstag, 30. März 2023, 13:00–16:00, P1

Hopping conduction in networks with site energy disorder — •Quinn Emilia Fischer, Marco Bosi, and Philipp Maass — Fachbereich Physik, Universität Osnabrück, Barabarastraße 7, D-49076 Osnabrück, Germany

Understanding conductivities due to hopping motion in disordered systems is an important problem with various applications ranging from electron transport in amorphous semiconductors to ion transport in glasses [1,2]. A prominent model is that of particle hopping on a lattice with random site energies, where each lattice site can be occupied by at most one particle. For this model, a theory has been proposed, where transport properties are determined by a mapping onto a random resistor network [3]. By comparison with extensive kinetic Monte Carlo simulations for different types of site energy distributions, we show that this theory gives good predictions for small and high particle concentrations but is less accurate for intermediate concentrations. We present a refined theory which takes into account nearest neighbour correlations between occupation numbers in current carrying nonequilibrium steady states. This theory yields an improved prediction of conductivities and their activation energies in very good agreement with the Monte Carlo results.

[1] M. Bosi, P. Maass, J. Phys. Chem. C 125 6260 (2021).

[2] M. Bosi, P. Maass, Z. Phys. Chem. 236, 1055 2022).

[3] V. Ambegaokar, B. I. Halperin, J. S. Langer, Phys. Rev. B 4, 2612

[1] (1971).