Year: 2018
Type: article
Abstract: We introduce an assisted exchange model (AEM) on a one-dimensional periodic lattice with $(K+1)$ different species of hardcore particles, where the exchange rate depends on the pair of particles which undergo exchange and their immediate left neighbor. We show that this stochastic process has a pair-factorized steady state for a broad class of exchange dynamics and calculate particle current and spatial correlations analytically for any $K>0$ using a transfer matrix formalism. Interestingly, the current in AEM exhibits density-dependent current reversal and negative differential mobility, both of which have been discussed elaborately by using a two-species exchange model which resembles the partially asymmetric conserved lattice gas model in one dimension. Moreover, the multispecies version of AEM exhibits additional features like multiple points of current reversal and an unusual response where the current-bias relation has multiple extrema.
Source: Physical review. E
Authors: Amit Kumar Chatterjee, P. K. Mohanty
Institution: Saha Institute of Nuclear Physics
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2811219157