On Time Correlations for KPZ Growth in One Dimension
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Time Correlations for KPZ Growth in One Dimension
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| Creator |
Ferrari, P.L.
Spohn, H. |
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| Description |
Time correlations for KPZ growth in 1+1 dimensions are reconsidered. We discuss flat, curved, and stationary initial conditions and are interested in the covariance of the height as a function of time at a fixed point on the substrate. In each case the power laws of the covariance for short and long times are obtained. They are derived from a variational problem involving two independent Airy processes. For stationary initial conditions we derive an exact formula for the stationary covariance with two approaches: (1) the variational problem and (2) deriving the covariance of the time-integrated current at the origin for the corresponding driven lattice gas. In the stationary case we also derive the large time behavior for the covariance of the height gradients.
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| Date |
2019-02-16T09:11:13Z
2019-02-16T09:11:13Z 2016 |
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| Type |
Article
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| Identifier |
On Time Correlations for KPZ Growth in One Dimension / P.L. Ferrari, H. Spohn // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 50 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 60K35; 82C22; 82B43 DOI:10.3842/SIGMA.2016.074 http://dspace.nbuv.gov.ua/handle/123456789/147840 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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