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Turbulent Liquid Crystals, KPZ Universality and the Asymmetric Simple Exclusion Process
Student-Run Research| Speaker: | Craig Tracy, UC Davis |
| Location: | 2112 MSB |
| Start time: | Wed, May 25 2011, 12:10PM |
Description
We report on (1) recent experimental work on stochastically growing interfaces
and (2) new theoretical developments for the KPZ equation, a stochastic nonlinear PDE, and the closely related asymmetric simple exclusion
process.
References:
(1) K. Takeuchi andM. Sano, Universal fluctuations of growing interfaces: Evidence
in turbulent liquid crystals, Phys. Rev. Let. 104, 230601 (2010).
(2) G. Amir, I. Corwin and J. Quastel, Probability distribution of the free energy
of the continuum directed random polymer in 1+1 dimensions, Commun. Pure
and Applied Math. 64 (2011), 466–537.
(3) T. Sasamoto and H. Spohn, One-dimensional Kardar-Parisi-Zhang equation:
An exact solution and its universality, Phys. Rev. Let. 104, 230602 (2010).
(4) C. A. Tracy and H. Widom, Integral formulas for the asymmetric simple exclusion
process, Commun. Math. Phys. 279, 815–844 (2008), Erratum Commun.
Math. Phys. 304, 875–878 (2011); Asymptotics in ASEP with step initial condition,
Commun. Math. Phys. 290, 129–154 (2009); Total current fluctuations
in the asymmetric simple exclusion process, J. Math. Phys. 50, 095204 (2009).