{"paper":{"title":"Finite Size Effects of Thermal Conductivity for One-Dimensional Mesoscopic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Li Wan","submitted_at":"2015-06-14T14:06:19Z","abstract_excerpt":"The finite size effects of the thermal conductivity $\\kappa$ have been studied in the phonon space. It is found that only a few phonon modes are selected to take part in the thermal transport when the size $L$ of the system is decreased. The amount of the selected phonon modes is proportional to the $L$. In this way, $\\kappa$ decreases with the decreasing of $L$. Such mechanism for the size effect of $\\kappa$ found in this work is beyond the Phonon-Boundary scattering. The exponent $\\alpha$ of the power law $\\kappa \\sim L^{\\alpha}$ has been fitted, showing that the exponent is not universal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04402","kind":"arxiv","version":4},"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"}