Abstract
Abstract Dynamical problems facing hydrogen diffusion in metal hydrogen systems at low temperature are surveyed. A microscopic model is constructed based on the assumption that the functional units are clusters of Fermi or Bose particles, collectively referred to as spin clusters. Critical behavior of metal hydrogen systems provides a key approximation which makes our model soluble. The time-dependent autocorrelation functions are obtained by solving the Heisenberg equation of motion using a new mathematical technique called the recurrence relations. The dynamical solutions shed light on the reversed isotope effect in diffusion. The nature of interstitial spin clusters is examined and compared with atomic and nuclear spin clusters. The spin clusters show striking resemblance to the superfluid component in the two-fluid theory of liquid 4He.
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