Revisiting the Theory of Finite Size Scaling in Disordered Systems: n Can Be Less than 2yd
نویسندگان
چکیده
For phase transitions in disordered systems, an exact theorem provides a bound on the finite size correlation length exponent: nFS $ 2yd. It is believed that the intrinsic n satisfies the same bound. We argue that the standard averaging introduces a noise and a new diverging length scale. For n # 2yd self-averaging breaks down, disconnecting n from nFS, and the bound applies only for the latter. We illustrate these ideas on two exact examples, with n , 2yd. We propose a new method of disorder averaging, which is able to capture the intrinsic exponents. [S0031-9007(97)04880-1]
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