Transport in very dilute solutions of³ He in superfluid ⁴He

TY - JOUR

T1 - Transport in very dilute solutions of3 He in superfluid 4He

AU - Baym, Gordon Alan

AU - Beck, D.H.

AU - Pethick, C. J.

PY - 2013/7/17

Y1 - 2013/7/17

N2 - Motivated by a proposed experimental search for the electric dipole moment of the neutron (nEDM) utilizing neutron-3He capture in a dilute solution of 3He in superfluid 4He, we derive the transport properties of dilute solutions in the regime where the 3He are classically distributed and rapid 3He-3He scatterings keep the 3He in equilibrium. Our microscopic framework takes into account phonon-phonon, phonon-3He, and 3He-3He scatterings. We then apply these calculations to measurements by Rosenbaum and by Lamoreaux of dilute solutions in the presence of a heat flow. We find satisfactory agreement of theory with the data, serving to confirm our understanding of the microscopics of the helium in the future nEDM experiment.

AB - Motivated by a proposed experimental search for the electric dipole moment of the neutron (nEDM) utilizing neutron-3He capture in a dilute solution of 3He in superfluid 4He, we derive the transport properties of dilute solutions in the regime where the 3He are classically distributed and rapid 3He-3He scatterings keep the 3He in equilibrium. Our microscopic framework takes into account phonon-phonon, phonon-3He, and 3He-3He scatterings. We then apply these calculations to measurements by Rosenbaum and by Lamoreaux of dilute solutions in the presence of a heat flow. We find satisfactory agreement of theory with the data, serving to confirm our understanding of the microscopics of the helium in the future nEDM experiment.

U2 - 10.1103/PhysRevB.88.014512

DO - 10.1103/PhysRevB.88.014512

M3 - Journal article

SN - 2469-9950

VL - 88

SP - 014512

JO - Physical Review B

JF - Physical Review B

IS - 1

ER -