Abstract
The energy transport via thermal diffusion inside superheated superconducting granules (SSG) after nuclear recoils is discussed. The decay towards equilibrium of the initial disturbance is described by a set of coupled heat-flow equations for the effective quasiparticle and phonon temperatures. The solution is carried out analytically for a point source located anywhere inside the superconducting granule with the initial energy distributed in both quasiparticle and phonon systems. The calculated sensitivity to nuclear recoils and the decay in time between interaction and phase transition are compared with irradiation measurements performed on Sn and Zn granules. The derived expressions for the quasiparticle and phonon temperatures are useful to predict the sensitivity of SSG detectors to nuclear recoils produced in dark matter particle or neutrino interactions.
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