Exact Confirmation of 1D Nonlinear Fluctuating Hydrodynamics for a Two-Species Exclusion Process
We consider current statistics for a two-species exclusion process of particles hopping in opposite directions on a one-dimensional lattice. We derive an exact formula for the Green's function as well as for a joint current distribution of the model, and study its long time behavior. For a step...
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| Veröffentlicht in: | Physical review letters 2018-06, Vol.120 (24), p.240601-240601, Article 240601 |
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| container_end_page | 240601 |
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| container_issue | 24 |
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| container_title | Physical review letters |
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| creator | Chen, Zeying de Gier, Jan Hiki, Iori Sasamoto, Tomohiro |
| description | We consider current statistics for a two-species exclusion process of particles hopping in opposite directions on a one-dimensional lattice. We derive an exact formula for the Green's function as well as for a joint current distribution of the model, and study its long time behavior. For a step-type initial condition, we show that the limiting distribution is a product of the Gaussian and the Gaussian unitary ensemble Tracy-Widom distributions. This is the first analytic confirmation for a multicomponent system of a prediction from the recently proposed nonlinear fluctuating hydrodynamics for one-dimensional systems. |
| doi_str_mv | 10.1103/PhysRevLett.120.240601 |
| format | Article |
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| source | American Physical Society Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Computational fluid dynamics Current distribution Fluid flow Fluid mechanics Gaussian distribution Hydrodynamics Variation |
| title | Exact Confirmation of 1D Nonlinear Fluctuating Hydrodynamics for a Two-Species Exclusion Process |
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