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The deformation kinetics for glassy solid helium confined in microscopicdomain at very low temperature regime was investigated using a transition-ratemodel considering the shear thinning behavior which means, once material beingsubjected to high shear rates, the viscosity diminishes with increasing shearrate. The preliminary results show that there might be nearly frictionlessfields for rate of deformation due to the almost vanishing shear stress inmicrotubes at very low temperature regime subjected to some surface conditions: The relatively larger roughness (compared to the macroscopic domain) insidemicrotubes and the slip. As the pore size decreases, the surface-to-volumeratio increases and therefore, surface roughness will greatly affect thedeformation kinetics in microtubes. By using the boundary perturbation method,we obtained a class of temperature and activation energy dependent fields forthe deformation kinetics at low temperature regime with the presumed small wavyroughness distributed along the walls of an cylindrical microtube. The criticaldeformation kinetics of the glassy matter is dependent upon the temperature,activation energy, activation volume, orientation dependent and is proportionalto the (referenced) shear rate, the slip length, the amplitude and theorientation of the wavy-roughness. Finally, we also discuss the quantitativesimilarity between our results with Ray and Hallock [Phys. Rev. Lett. {\bf100}, 235301 (2008)].

Theoretical Study for Deformation Kinetics of Glassy Solid Helium within Cylindrical Microtubes