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arXiv 0910.2776cond-mat.mtrl-scicond-mat.stat-mech
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重整化群相场晶体模型的非线性弹性

Nonlinear Elasticity of the Phase Field Crystal Model from the Renormalization Group

Pak Yuen Chan, Nigel Goldenfeld

摘要:

旋转协变重整化群运动方程的密度波振幅的相位场晶体模型中示出遵循由一个有效的自由能量密度,我们推导出的动力学方程。我们表明,这个自由能可以写纯粹作为应变张量的函数,从而推导出相应的方程控制的非线性弹性响应。

英文摘要:

The rotationally-covariant renormalization group equations of motion for the density wave amplitudes in the phase field crystal model are shown to follow from a dynamical equation driven by an effective free energy density that we derive. We show that this free energy can be written purely as a function of the strain tensor and thence derive the corresponding equations governing the nonlinear elastic response.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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