柱状微管中玻璃态固态氦变形动力学的理论研究
Theoretical Study for Deformation Kinetics of Glassy Solid Helium within Cylindrical Microtubes
摘要：
采用考虑剪切变稀行为的过渡速率模型，研究了在极低温度范围内处于微观区域内的玻璃态固体氦的变形动力学。剪切变稀行为是指材料在高剪切速率下粘度随剪切速率的增加而减小。初步结果表明，可能有近无摩擦场的变形率由于在很低的温度制度下，在微管的剪切应力几乎为零受到一些表面条件：相对较大的粗糙度（相比宏观域）内的微管和滑移。随着孔径的减小，表面积与体积比增加，因此，表面粗糙度将极大地影响微管的变形动力学。采用边界微扰法，在假定微粗糙度为小波浪形的情况下，得到了一类与温度和激活能相关的低温变形动力学场.玻璃状物质的临界变形动力学取决于温度、活化能、活化体积、取向依赖性，并且与（参考）剪切速率、滑移长度、波动粗糙度的振幅和取向成比例。最后，我们还讨论了我们的结果与射线和哈洛克[物理评论快报。{ \bf 100}，235301（2008）]。
英文摘要：
The deformation kinetics for glassy solid helium confined in microscopic domain at very low temperature regime was investigated using a transition-rate model considering the shear thinning behavior which means, once material being subjected to high shear rates, the viscosity diminishes with increasing shear rate. The preliminary results show that there might be nearly frictionless fields for rate of deformation due to the almost vanishing shear stress in microtubes at very low temperature regime subjected to some surface conditions : The relatively larger roughness (compared to the macroscopic domain) inside microtubes and the slip. As the pore size decreases, the surface-to-volume ratio increases and therefore, surface roughness will greatly affect the deformation kinetics in microtubes. By using the boundary perturbation method, we obtained a class of temperature and activation energy dependent fields for the deformation kinetics at low temperature regime with the presumed small wavy roughness distributed along the walls of an cylindrical microtube. The critical deformation kinetics of the glassy matter is dependent upon the temperature, activation energy, activation volume, orientation dependent and is proportional to the (referenced) shear rate, the slip length, the amplitude and the orientation of the wavy-roughness. Finally, we also discuss the quantitative similarity between our results with Ray and Hallock [Phys. Rev. Lett. {\bf 100}, 235301 (2008)].
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