2021/07/28 by Hiroyoshi Nakano, Yuki Minami, Nakano, Hiroyoshi +6
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.2107.13183
17 pages, 9 figures
arxiv created 2021/07/28 · openalex publication_date 2021/07/28 · arxiv updated 2021/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the two-dimensional surface long-range order in a non-equilibrium steady state under shear flow using the three-dimensional conserved O(N) model. Whereas the correlation on the surface is enhanced by increasing interactions within the surface, the long-range order cannot be realized at equilibrium because of divergent thermal fluctuations associated with the low dimensionality of the surface. Here, the shear flow is applied parallel to the surface, on which the flow is set to zero. Despite the shear flow not affecting the order parameter on the surface directly, the fluctuations at the surface are strongly suppressed by the flow away from the surface, leading to the surface long-range order. We demonstrate these results through an exact analysis in the large-N limit, where non-linear fluctuations are self-consistently treated.