Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
We consider the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height $h(x,t)$ on the positive half line with boundary condition $\partial_x h(x,t)|_{x=0}=A$. It is equivalent to a continuum directed polymer (DP) in a random potential in half-space with a wall at...
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| Format: | Article |
| Language: | English |
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SciPost
2020-03-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.8.3.035 |