What question did this study set out to answer?

Characterize nonequilibrium stationary states and quantify shock front position fluctuations in an asymmetric simple-exclusion process on a ring broken by a local defect.

January 1, 1992Physical Review A

Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process

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Authors

SJSteven A. JanowskyRutgers, The State University of New Jersey JLJoel L. LebowitzRutgers, The State University of New Jersey

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Implication

Theoretical modeling uncovers shock fluctuations scaling as L^(1/2) or L^(1/3) in asymmetric simple-exclusion lattices, indicating particle-hole symmetry governs interface broadening.

Key Points

Characterize nonequilibrium stationary states and quantify shock front position fluctuations in an asymmetric simple-exclusion process on a ring broken by a local defect.
Modeled particles hopping on a 1D periodic lattice of L sites with forward rate p and backward rate 1-p.
Inserted a localized bond defect between boundary sites reducing transition rates by factor r to break translation invariance.
Induced phase separation into two distinct density regions separated by a sharp macroscopic interface when the defect factor r falls below a critical density-dependent threshold.
Determined that shock position fluctuations scale as L^(1/2) in the presence of particle-hole symmetry and as L^(1/3) when symmetry is broken, mirroring t^(1/2) and t^(1/3) temporal growth in uniform Burgers equation systems.

Cite This Study

Janowsky et al. (1992) studied this question.

synapsesocial.com/papers/6a71e21bac440176ef2a6582 https://doi.org/10.1103/physreva.45.618

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Implication

Theoretical modeling uncovers shock fluctuations scaling as L^(1/2) or L^(1/3) in asymmetric simple-exclusion lattices, indicating particle-hole symmetry governs interface broadening.

Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process

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Implication

Key Points

Cite This Study

Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process

Discussion

Member takes

Implication

Key Points

Cite This Study

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