{"paper":{"title":"Large-scale dynamo action due to $\\alpha$ fluctuations in a linear shear flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn","physics.plasm-ph"],"primary_cat":"astro-ph.GA","authors_text":"India, India), Nishant K. Singh (IUCAA, NORDITA, S. Sridhar (RRI, Stockholm)","submitted_at":"2013-06-11T12:00:52Z","abstract_excerpt":"We present a model of large-scale dynamo action in a shear flow that has stochastic, zero-mean fluctuations of the $\\alpha$ parameter. This is based on a minimal extension of the Kraichnan-Moffatt model, to include a background linear shear and Galilean-invariant $\\alpha$-statistics. Using the first order smoothing approximation we derive a linear integro-differential equation for the large-scale magnetic field, which is non perturbative in the shearing rate $S\\,$, and the $\\alpha$-correlation time $\\tau_\\alpha\\,$. The white-noise case, $\\tau_\\alpha = 0\\,$, is solved exactly, and it is conclud"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2495","kind":"arxiv","version":2},"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"}