Finite size effects in Derrida's model multicriticities and limits of generalization for the Zamolodchikov' s C-theorem

TL;DR

This paper investigates finite size effects in Derrida's model at multicritical points and phase boundaries, revealing anomalously large effects and limitations of the multicriticity point in minimizing free energy corrections.

Contribution

It introduces a detailed analysis of finite size effects at multicritical points and phase boundaries in Derrida's model, highlighting their impact on phase transition understanding.

Findings

Large finite size effects observed at phase boundaries.

Multicriticity point does not minimize finite size corrections.

Finite size effects influence phase transition boundaries.

Abstract

Finite size effects in the multicriticity point and boundaries between phases are calculated. There are anomalous large finite size effects on the boundary of ferromagnetic phase with paramagnetic or spin-glass. Multicriticity point is not giving global minimum for the finite size corrections of free energy.