arXiv Open Access 2010

TASEP on a ring with internal degrees of freedom

Urna Basu P. K. Mohanty

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Abstrak

A totally asymmetric exclusion process on a ring with $ν$ non-conserved internal degrees of freedom, where particles hop forward with a rate that depends on their internal state, has been studied. We show, using a mapping of the model to a zero range process with $ν$ different kinds of boxes, that steady state weights can be written in a matrix product form and calculate the spatial correlations exactly. A comparison of the model with an equivalent conserved system reveals that unequal hopping rates of particles belonging to different internal states is responsible for the non-trivial correlations.

Topik & Kata Kunci

cond-mat.stat-mech

Penulis (2)

Urna Basu

P. K. Mohanty

Format Sitasi

APA MLA BibTeX

Basu, U., Mohanty, P.K. (2010). TASEP on a ring with internal degrees of freedom. https://arxiv.org/abs/1008.0316

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Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓