English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a model supported by simulation to explain the effect oftemperature on the conduction threshold in disordered systems. Arrays withrandomly distributed local thresholds for conduction occur in systems rangingfrom superconductors to metal nanocrystal arrays. Thermal fluctuations providethe energy to overcome some of the local thresholds, effectively erasing themas far as the global conduction threshold for the array is concerned. Weaugment this thermal energy reasoning with percolation theory to predict thetemperature at which the global threshold reaches zero. We also study theeffect of capacitive nearest-neighbor interactions on the effective chargingenergy. Finally, we present results from Monte Carlo simulations that find thelowest-cost path across an array as a function of temperature. The main resultof the paper is the linear decrease of conduction threshold with increasingtemperature: $V_t(T) = V_t(0) (1 - 4.8 k_BT P(0)/ p_c) $, where $1/P(0)$ is aneffective charging energy that depends on the particle radius and interparticledistance, and $p_c$ is the percolation threshold of the underlying lattice. Thepredictions of this theory compare well to experiments in one- andtwo-dimensional systems.Comment: 14 pages, 10 figures, submitted to PR

Model for the onset of transport in systems with distributed thresholds for conduction