New Approach to Study Critical Dynamics by Using Continued Fraction Representation

概要

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General feature of dynamical properties of systems near the second order phasetransition are studied by using the continued fraction representation. It is shown thattime-evolution of an observable relevant to the second order phase transition exhibitsno relaxation at the critical point, It is also shown that under a certain condition therelation of the dynamic critical exponent to the exponent of the static susceptibilitycan be derived. As an explicit example, the relaxation function, admittance and therandom forces of the transverse Ising model are exactly calculated near the criticalpoint to be given as functions of the inverse static susceptibility. These results confirmthe correctness of the general argument given above.
社団法人日本物理学会の論文
1989-11-15