{"paper":{"title":"Weak subordination breaking for the quenched trap model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Eli Barkai, Stas Burov","submitted_at":"2012-05-23T07:50:33Z","abstract_excerpt":"We map the problem of diffusion in the quenched trap model onto a new stochastic process: Brownian motion which is terminated at the coverage \"time\" ${\\cal S}_\\alpha=\\sum_{x=-\\infty} ^\\infty (n_x)^\\alpha$ with $n_x$ being the number of visits to site $x$. Here $0<\\alpha=T/T_g<1$ is a measure of the disorder in the original model. This mapping allows us to treat the intricate correlations in the underlying random walk in the random environment. The operational \"time\" ${\\cal S}_\\alpha$ is changed to laboratory time $t$ with a L\\'evy time transformation. Investigation of Brownian motion stopped a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5116","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"}