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A New Critical Exponent Koppa and Its Logarithmic Counterpart Koppa-hat by Kenna, R.; Berche, B. is a scholarly article available to read on EtoBox.

What is A New Critical Exponent Koppa and Its Logarithmic Counterpart Koppa-hat about?

It is well known that standard hyperscaling breaks down above the upper critical dimension d_c, where the critical exponents take on their Landau values. Here we show that this is because, in standard formulations in the thermodynamic limit, distance is measured on the correlation-length scale. However, the correlation-length scale and the underlying length scale of the system are not the same at or above the upper critical dimension. Above d_c they are related algebraically through a new critical exponent koppa, while at d_c they differ through logarithmic corrections governed by an exponent koppa-hat. Taking proper account of these different length scales allows one to extend hyperscaling to all dimensions.

Author

Kenna, R.; Berche, B.

Published

2014

Language

EN