Unleashing the Power of Microcanonical Inflection-Point Analysis: The Principle of Minimal Sensitivity

In analogy to the principle of minimal sensitivity proposed by Stevenson for perturbative approaches in quantum field theory~[1], we generalize microcanonical inflection-point analysis~[2] by probing higher-order derivatives of the inverse temperature $\beta(E)$ for signals of transitions in finite complex systems~[3]. To illustrate the power of this analysis, we investigate adsorption properties of a simple-cubic lattice polymer model. The pseudophase diagram based on microcanonical inflection-point analysis is constructed. This example confirms the general potential of microcanonical statistical analysis for studies of pseudophase transitions for systems of finite size. \\[4pt] [1] P. M. Stevenson, Phys. Rev. D \textbf{23}, 2916 (1981).\\[0pt] [2] S. Schnabel, D. T. Seaton, D. P. Landau, and M. Bachmann, Phys. Rev. E \textbf{84}, 011127 (2011).\\[0pt] [3] K. Qi and M. Bachmann, preprint (2015).