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Current relaxation in the Random Resistor cum Tunnelling Network Model through first-passage route: Regimes and time-scales

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  • Bhattacharya, Somnath

Abstract

Numerically we study the bulk current relaxation in percolative Random Resistor cum Tunnelling Network (RRTN) model through a first-passage route. The RRTN considers an extra semi-classical barrier-crossing process over a voltage threshold within a framework of classical RRN bond percolation model. We identify the different temporal regimes of relaxation and corresponding phenomenological time-scales, which fix up the extents of different regimes. These time-scales were previously identified in Refs. Bhattacharya (2019) and Sen and Mozumdar (2007). We investigate on the distributions of these time-scales and observe that there exists a perfect correlation among them in the thermodynamic limit. We conclude that there exists a single time-scale which controls the RRTN dynamics. The variation of mean first-passage time .vs. system size seems to be due to sub-diffusive motion of charge carrier through the network.

Suggested Citation

  • Bhattacharya, Somnath, 2021. "Current relaxation in the Random Resistor cum Tunnelling Network Model through first-passage route: Regimes and time-scales," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    • Handle: RePEc:eee:phsmap:v:575:y:2021:i:c:s0378437121003125
    DOI: 10.1016/j.physa.2021.126039
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