Statistical Mechanics of the Dislocation System in a Crystal

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概要

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• The statistical mechanics of the assembly of the dislocation lines in a three dimen-sional crystal is developed. Using the transfer matrix method, the statisticalmechanics of the dislocations is transformed into the ground state problem of the twodimensional Fermion-Boson system. This approach gives a convincing proof for thefree energy expression:/( p) = -7". p In Cp -FF. p -Y-F. p',where p is the dislocation density, F. and F. are positive constants, and C is a constantof the order a' (a being the lattice spacing). The constant F. is positive at low tempera-lures but is negative at high temperatures.

• 社団法人日本物理学会の論文
• 1988-11-15

著者

• IZUYAMA Takeo

  Institute of Physics,College of Arts and Science,University of Tokyo

• Izuyama T

  Univ. Tokyo Tokyo

• Izuyama Takeo

  Institute Of Physics College Of Aris And Sciences University Of Tokyo

• YAMAMOTO Takao

  College of Technology,Gunma University

• Yamamoto Takao

  College Of Technology Gunma University

• Yamamoto Takao

  College Of Liberal Arts Gunma University

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