Based upon the recently introduced thermophase and piezophase mesoscopic
quantum effects in Josephson junctions, several novel phenomena in a twisted
superconductor (containing a small annular SIS-type contact) under influence of
thermal gradient and applied magnetic field are predicted. Namely, we consider
a torsional analog of Josephson piezomagnetism (and related magnetomechanical
effect) as well as a possible generation of a heat flux induced magnetic moment
in a weakly-coupled superconductor under a torsional deformation (analog of
Zavaritskii effect) along with the concomitant phenomena of piezothermopower
and piezothermal conductivity. The conditions under which the predicted effects
can be experimentally measured in conventional superconductors and
nanostructured materials with implanted Josephson contacts are discussed.Comment: REVTEX (5 pages