On the Singularity of Dynamical Response and Critical Slowing Down

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概要

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• Phenomenological arguments on the critical slowing down is presented and "similarity law" is proposed on the indices of the critical slowing down. The similarity law is confirmed in linear spin chains near the critical field and in the kinetic Ising model near the critical temperature. It is exactly shown in the linear spin chains that the critical index of slowing down is different from that of the static susceptibility and that the dynamical susceptibility has a logarithmic singularity with respect to the frequency at the critical field and at zero temperature.

• 理論物理学刊行会の論文
• 1970-04-25

著者

• SUZUKI Masuo

  Institute for Solid State Physics University of Tokyo

関連論文

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• One-Dimensional Anisotropic Heisenberg Model at Finite Temperatures
• On the Expansion Theory of Critical Exponents : General Aspects and Some Applications
• Scaling with a Parameter in Spin Systems near the Critical Point. I
• Critical Exponents for Long-Range Interactions. II : Universality and Scaling Relations
• On the Singularity of Dynamical Response and Critical Slowing Down
• On the Distribution of Zeros for the Heisenberg Model

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