{"paper":{"title":"On the theory of Lorentz gases with long range interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Alessia Nota, Juan J.L. Vel\\'azquez, Sergio Simonella","submitted_at":"2017-07-13T16:05:05Z","abstract_excerpt":"We construct and study the stochastic force field generated by a Poisson distribution of sources at finite density, $x_1,x_2,\\cdots$ in $\\mathbb{R}^3$ each of them yielding a long range potential $Q_i\\Phi(x-x_i)$ with possibly different charges $Q_i \\in \\mathbb{R}$. The potential $\\Phi$ is assumed to behave typically as $|x|^{-s}$ for large $|x|$, with $s > 1/2$. We will denote the resulting random field as \"generalized Holtsmark field\". We then consider the dynamics of one tagged particle in such random force fields, in several scaling limits where the mean free path is much larger than the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04193","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"}