Corpus ID: 211678427

Solid-On-Solid interfaces with disordered pinning

  title={Solid-On-Solid interfaces with disordered pinning},
  author={H. Lacoin},
  journal={arXiv: Probability},
  • H. Lacoin
  • Published 2020
  • Mathematics, Physics
  • arXiv: Probability
  • We investigate the localization transition for a simple model of interface which interacts with an inhomonegeous defect plane. The interface is modeled by the graph of a function $\phi: \mathbb Z^2 \to \mathbb Z$, the disorder being given by a fixed realization of a field of IID centered random variables $(\omega_x)_{x\in \mathbb Z^2}$. The Hamiltonian of the system is given by the expression $$\mathcal H(\phi):= \beta\sum_{x\sim y} |\phi(x)-\phi(y)|- \sum_{x} (\alpha\omega_x+h){\bf 1}_{\{\phi… CONTINUE READING

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