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We have studied heat capacities of 4He adsorbed in straight nanopores 1.8, 2.2, and 2.8 nm in diameter. Heat capacities of the 4He fluid film on the solid layer at 0.08–0.4 K show power laws close to T in 1.8 nm pores, close to T2 in 2.8 nm pores, and a crossover from T to T2 with increasing temperature in 2.2 nm pores. These heat capacities are explained by a model assuming a phonon dispersion...
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