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Tail of the two-time height distribution for KPZ growth in one dimension
- Publication Year :
- 2016
-
Abstract
- Obtaining the exact multi-time correlations for one-dimensional growth models described by the Kardar-Parisi-Zhang (KPZ) universality class is presently an outstanding open problem. Here, we study the joint probability distribution function (JPDF) of the height of the KPZ equation with droplet initial conditions, at two different times $t_1<br />Comment: 73 pages with Appendices, 10 figures
- Subjects :
- Statistics and Probability
Open problem
FOS: Physical sciences
Mathematics::General Topology
Condensed Matter::Disordered Systems and Neural Networks
01 natural sciences
010305 fluids & plasmas
Bethe ansatz
0103 physical sciences
Initial value problem
Limit (mathematics)
010306 general physics
Condensed Matter - Statistical Mechanics
Mathematical Physics
Mathematical physics
Physics
Statistical Mechanics (cond-mat.stat-mech)
Ergodicity
Time evolution
Statistical and Nonlinear Physics
Disordered Systems and Neural Networks (cond-mat.dis-nn)
Mathematical Physics (math-ph)
Renormalization group
Condensed Matter - Disordered Systems and Neural Networks
Distribution (mathematics)
Condensed Matter::Statistical Mechanics
Statistics, Probability and Uncertainty
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....a9f789404ce7e76c62d086511d83d7ab