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Monte Carlo study of single-barrier structure based on exclusion model full counting statistics
Authors:Chen Hu  Du Lei  Qu Cheng-Li  He Liang  Chen Wen-Hao  Sun Peng
Affiliation:School of Technical Physics, Xidian University, Xi'an 710071, China
Abstract:Different from the usual full counting statistics theoretical work that focuses on the higher order cumulants computation by using cumulant generating function in electrical structures, Monte Carlo simulation of single-barrier structure is performed to obtain time series for two types of widely applicable exclusion models, counter-flows model, and tunnel model. With high-order spectrum analysis of Matlab, the validation of Monte Carlo methods is shown through the extracted first four cumulants from the time series, which are in agreement with those from cumulant generating function. After the comparison between the counter-flows model and the tunnel model in a single barrier structure, it is found that the essential difference between them consists in the strictly holding of Pauli principle in the former and in the statistical consideration of Pauli principle in the latter.
Keywords:Monte Carlo simulation  higher order cumulant  exclusion model  full counting statistics
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