{"paper":{"title":"Biased random walks with finite mean first passage time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Auditya Sharma, Christin Puthur, Prabha Chuphal, Snigdha Thakur","submitted_at":"2018-07-20T11:26:43Z","abstract_excerpt":"A power-law distance-dependent biased random walk model with a tuning parameter ($\\sigma$) is introduced in which finite mean first passage times are realizable if $\\sigma$ is less than a critical value $\\sigma_c$. We perform numerical simulations in $1$-dimension to obtain $\\sigma_c \\sim 1.14$. The three-dimensional version of this model is related to the phenomenon of chemotaxis. Diffusiophoretic theory supplemented with coarse-grained simulations establish the connection with the specific value of $\\sigma = 2$ as a consequence of in-built solvent diffusion. A variant of the one-dimensional "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07791","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"}