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The phenomenon is via Cerenkov emission (CE) of acoustic phonons using intraband transitions proposed by Mensah et. al.,~\\cite{1} in Semiconductor Superlattices (SSL) and confirmed in ~\\cite{2}. From this, an asymmetric graph of $\\Gamma^{CNT}$ on $\\frac{V_d}{V_s}$ and $\\Omega\\tau$ were obtained where amplification ($\\Gamma_{amp}^{CNT}$) $>>$ absorption ($\\Gamma_{abs}^{CNT}$). The ratio, $\\frac{\\vert \\Gamma_{amp}^{CNT}\\vert}{\\vert\\Gamma_{abs}^{CNT}\\vert}\\approx 3.5$, at $V_d = 1.02V_s$, $\\omega_q = 3.0\\ "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1607.02906","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-07-11T11:34:24Z","cross_cats_sorted":[],"title_canon_sha256":"0bcb83b673b353d63b3902238dbb318ce22a914cf18ac7f61cd63fae6fc37299","abstract_canon_sha256":"37b08111b01aa48387a72b81b4dab91fed02ea41dcaca977db27c527e25efe29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:14.423777Z","signature_b64":"J0r/et6RgsUxbczjHMjjnW1A8Zb4qc6kepBOy3O1mQmgRXLY+1aIEw3+L6c0T4XZPxs9NCqaUUJRS8E7Km1sAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f667d039c01a4b5c680a0974988c1e3ba9fe34e9cf68c45908b8f7b0588b809","last_reissued_at":"2026-05-18T01:11:14.423176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:14.423176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the amplification of acoustic phonons in carbon nanotube","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"D. Sakyi-Arthur, K. A. Dompreh, N. G. Mensah, S. Y. Mensah","submitted_at":"2016-07-11T11:34:24Z","abstract_excerpt":"We present a theoretical study of acoustic phonons amplification in Carbon Nanotubes (CNT). The phenomenon is via Cerenkov emission (CE) of acoustic phonons using intraband transitions proposed by Mensah et. al.,~\\cite{1} in Semiconductor Superlattices (SSL) and confirmed in ~\\cite{2}. From this, an asymmetric graph of $\\Gamma^{CNT}$ on $\\frac{V_d}{V_s}$ and $\\Omega\\tau$ were obtained where amplification ($\\Gamma_{amp}^{CNT}$) $>>$ absorption ($\\Gamma_{abs}^{CNT}$). 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