Unexpected Effects of Disorder on Current Fluctuations in the Symmetric Simple Exclusion Process

Issei Sakai; Takuma Akimoto

doi:10.1103/physreve.111.014134

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arXiv · 2408.11364

Unexpected Effects of Disorder on Current Fluctuations in the Symmetric Simple Exclusion Process

Issei Sakai·Takuma Akimoto

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Abstract

We explore how the disorder impacts the current fluctuations in the symmetric simple exclusion process (SSEP) within a heterogeneous environment. First, we analyze the SSEP with a defect site under the periodic boundary conditions. We derive the exact expression for the second moment of the current and observe deviations from that of the homogeneous system. Notably, the second moment of the current shows asymmetric density dependence around a density of 1/2 and surpassing that of the homogeneous system in the low-density region. Furthermore, based on the finding from the SSEP with a defect site, we present an approximate derivation of the second moment of the current in the SSEP on a quenched random energy landscape using a partial-mean-field approach. The second moment of the current is heavily influenced by the energy landscape, revealing unique effects arising from the interplay between the heterogeneous environment and the many-body system. Our findings provide valuable insights that can be applied to control current fluctuations in systems involving the interactions of many particles, such as biological transport.

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Issei Sakai, Takuma Akimoto. 2024-08-21. Unexpected Effects of Disorder on Current Fluctuations in the Symmetric Simple Exclusion Process. https://doi.org/10.1103/physreve.111.014134

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