Abstract
Anharmonic effects are studied by measuring the temperature dependence of second harmonics of a 10-MHz ultrasonic wave generated near the λ transition of pressurized liquid 4He. The anharmonic coupling coefficient C between the fundamental wave and the second harmonic is found to diverge as % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-qqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xHapdbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeSipIOZaaq% WaaeaaieaacaWF0baacaGLhWUaayjcSdWaaWbaaSqabeaaieqacaGF% TaGaa4hiaGqadKqaGkaa9fdaaaacbiGccaaFBbGaaeiDaiaa+1daca% aFOaGaaeivaiaa+9cacaqGubWaaSbaaSqaaGGadiab7T7aSbqabaGc% caaFPaacciGaeONeI0IaaWxmaiaa81faaaa!4911!\[ \sim \left| t \right|^{ - 1} [{\rm{t}} = ({\rm{T}}/{\rm{T}}_\lambda ) - 1]\] near Τλ. A phenomenological relation is developed expressing C in terms of known relevant thermodynamic quantities. This relation accounts well for the experimental results.
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This research was supported in part by the National Science Foundation under Grant DMR77-12249 and through the Materials Research Laboratory of Brown University.
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Kwun, H., Hikata, A. & Elbaum, C. Anharmonic effects in ultrasonic propagation near the lambda transition of 4He. J Low Temp Phys 39, 497–503 (1980). https://doi.org/10.1007/BF00114892
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DOI: https://doi.org/10.1007/BF00114892