(2+1)-Dimensional directed polymer in a random medium: scaling phenomena and universal distributions.

@article{HalpinHealy201221DimensionalDP,
  title={(2+1)-Dimensional directed polymer in a random medium: scaling phenomena and universal distributions.},
  author={Timothy Halpin-Healy},
  journal={Physical review letters},
  year={2012},
  volume={109 17},
  pages={170602}
}
We examine numerically the zero-temperature (2+1)-dimensional directed polymer in a random medium, along with several of its brethren via the Kardar-Parisi-Zhang (KPZ) equation. Using finite-size and KPZ scaling Ansätze, we extract the universal distributions controlling fluctuation phenomena in this canonical model of nonequilibrium statistical mechanics. Specifically, we study point-point, point-line, and point-plane directed polymer geometries, scenarios which yield higher-dimensional… CONTINUE READING