Non-local response in a lattice gas under a shear drive
Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8121, Vol: 47, Issue: 50
2014
- 1Citations
- 12Captures
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Article Description
In equilibrium, the effect of a spatially localized perturbation is typically confined around the perturbed region. Quite contrary to this, in a non-equilibrium stationary state often the entire system is affected. This appears to be a generic feature of non-equilibrium. We study such a non-local response in the stationary state of a lattice gas with a shear drive at the boundary, which keeps the system out of equilibrium. We show that a perturbation in the form of a localized blockage at the boundary induces an algebraically decaying density and current profile. In two examples, non-interacting particles and particles with simple exclusion, we analytically derive the power-law tail of the profiles.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84913580861&origin=inward; http://dx.doi.org/10.1088/1751-8113/47/50/505005; https://iopscience.iop.org/article/10.1088/1751-8113/47/50/505005; http://stacks.iop.org/1751-8121/47/i=50/a=505005/pdf; http://stacks.iop.org/1751-8121/47/i=50/a=505005?key=crossref.4697e3f8db32eb0cd26bc7586929761f; https://dx.doi.org/10.1088/1751-8113/47/50/505005; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=a2a44221-42ed-47c2-b779-c71371f0daa0&ssb=16245263593&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1751-8113%2F47%2F50%2F505005&ssi=cc1c9e32-8427-469c-afa0-14c145d562b3&ssk=support@shieldsquare.com&ssm=562298723044146681316353014018385013&ssn=45bb7ca9a38fe883138c39bf527badc8756d17f9ea44-4e1f-4e35-b4fecc&sso=37b3615e-f9d9f87a371fec593cabce572c5ffa0153948f33e3877c24&ssp=65109822241719383939171984915753071&ssq=87694501045601171847205699277681449192427&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDBjMGI2MzM1NC00OGRkLTRjNTUtODVmZS00NzZmMjgxYzE5ZDgxNzE5MzA1Njk5NDA1NTA0NzU3NTIzLWJjZDI5MWE4ZDMyNjg4NDAxMzE2MjMiLCJyZCI6ImlvcC5vcmciLCJ1em14IjoiN2Y5MDAwMWUxYTVkMGQtYjRlNi00ZTQ0LWFmYTgtNzUxMTFmZjg0ZDlmNy0xNzE5MzA1Njk5NDA1NTA0NzU3NTIzLTBhMWUyY2Y5YThlNTg2YWQxMzE2MjAifQ==
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