{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"f0e9985fc8ccb190bf94ebcbdc90a209ecbe5b780bb46abf8a849d24067ae1a1","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"922421250839daf22a6c3972deee15ceeecc743da3d6956bd396843236dddcf8","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"cm.electron-hydro.tomographic-regime","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"In two dimensions, theory predicts that distortions of the electrons' momentum distribution with odd symmetry decay much more slowly than even ones. This would give a distinct transport regime between ballistic and viscous flow.","posed_since":"","precise":"For a 2D Fermi liquid with $T \\ll E_{F}$, kinetic theory dominated by head-on collisions predicts that the slowest odd angular harmonics of the distribution relax at rates $\\gamma_{\\mathrm{odd}} \\sim T^{4}$ (up to logarithms), much smaller than the even rates $\\gamma_{\\mathrm{even}} \\sim T^{2}$ (Ledwith, Guo, Levitov 2019). Is this odd-even effect present in real 2D electron systems, and does it produce the predicted scale-dependent viscosity? Answer yes or no, with measured $\\gamma_{\\mathrm{odd}}/\\gamma_{\\mathrm{even}}\\ \\text{versus}\\ T$.","problem_ref":null,"references":"","settled_by":"Separate measurement of odd and even harmonic relaxation rates (high-order cyclotron resonance or flow imaging in channels of varying width) showing the predicted temperature dependence.","status_note":"Theory (Nilsson, Gran, Hofmann, PRX 2025) finds only a few long-lived odd-parity modes, persisting to $T = 0.15 T_{\\mathrm{F}}$; no direct measurement of $\\gamma_{\\mathrm{odd}}/\\gamma_{\\mathrm{even}}$ versus $T$ is established.","title":"Do two-dimensional Fermi liquids show odd-even tomographic relaxation","topic_ref":"3cd00f4643bbd06a95d69c9293583beea1b45782ba2be8604a26a1fe1e9a3620"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"1aa47d7cc2f8381f047384ec05bfc422fb5d038fd281256eeb71017ce20b78f5","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"2998010abbcd68e1dea9c765fcc384795cf2f59fcaab4ab8b7c81279d4715a5a","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"yF1d9_wykWBtd3hCSqRaZqvsXtAEKMdIypTOV46CrbLcL3hlUR9GJIHfAbvpueADauwr2Vlj9irU88Bgym6EBA"},"schema":"pubphys.envelope/1"},"record_hash":"1aa47d7cc2f8381f047384ec05bfc422fb5d038fd281256eeb71017ce20b78f5","leaf_index":970}