{"paper":{"title":"Scaling in erosion of landscapes: Renormalization group analysis of a model with turbulent mixing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"N. V. Antonov, P. I. Kakin","submitted_at":"2016-08-08T11:30:32Z","abstract_excerpt":"The model of landscape erosion, introduced in [{\\it Phys. Rev. Lett.} {\\bf 80}: 4349 (1998); {\\it J. Stat. Phys.} {\\bf 93}: 477 (1998)] and modified in [{\\it Theor. Math. Phys.} - in press; arXiv:1602.00432], is advected by anisotropic velocity field. The field is Gaussian with vanishing correlation time and the pair correlation function of the form $\\propto \\delta(t-t') / k_{\\bot}^{d-1+\\xi}$, where $k_{\\bot}=|{\\bf k}_{\\bot}|$ and ${\\bf k}_{\\bot}$ is the component of the wave vector, perpendicular to a certain preferred direction -- the $d$-dimensional generalization of the ensemble introduced"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02387","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}