{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6539b4ab09dedd6703254e73bbdd25e3c16a13489f00b49ba4aeaaaf55c9de6b","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["1aa47d7cc2f8381f047384ec05bfc422fb5d038fd281256eeb71017ce20b78f5","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"746c7cee9b8f531de803ba0597f3fa471e7eedc2215b9b1b701e29fd5896f65a","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":"2","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":"1aa47d7cc2f8381f047384ec05bfc422fb5d038fd281256eeb71017ce20b78f5","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":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"87529009b9840dd2ed6622ea3c363ddac4a9ba0e9c72fe9f8a920486b21eb96f","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"df9de3e7fe03e642e901fe28fdbab9d715dabd81fb98e6744f21d74f3f145195","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"Wsq1m-YQJbMlBiSeA7f7_NugZAZ4DgcXODmI_O0-JWyfWVlcpwgm_1LqZqXBDTG_NAVbI4l5TFK3zo9J7NnbAQ"},"schema":"pubphys.envelope/1"},"record_hash":"87529009b9840dd2ed6622ea3c363ddac4a9ba0e9c72fe9f8a920486b21eb96f","leaf_index":2776}