Abstract
The compressibility of solid helium(3He and 4He) in the hcp and fcc phases has been studied by the path-integralMonte Carlo method. Simulations were carried out in both canonical(NVT) andisothermal–isobaric (NPT) ensembles at temperatures between 10 and 300 K, showing consistent resultsin both ensembles. For pressures between 4 and 10 GPa, the bulk modulusB is found to decrease by about 10%, when the temperature increases from thelow-temperature limit to the melting temperature. The isotopic effect on the bulkmodulus of helium crystals has been quantified for a wide range of parameters.At 25 K and pressures on the order of 1 GPa, the relative difference between3He and 4He amounts to about 2%. The thermal expansion has also been quantified from results obtained in bothNPT and NVT simulations.
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