Statistical Complexity of the Coriolis Antipairing Effect

Using the entropic quantifier called statistical complexity, we investigate the interplay between (1) pairing interactions between fermions, can be viewed as analogous with superconductivity based on Cooper pairs; (2) rotations of the system as a whole around an axis; and (3) thermal excitations. Two different ordering processes are at work: alignment and pairing of two fermions to total spin zero. They compete among themselves and with thermal disorder. A complex physics ensues as a consequence. The existence of novel phenomena is revealed by the behavior of the statistical complexity. In particular, it is seen how order can arise out of disorder in originating high-temperature superconductivity.

[1]  A. Plastino,et al.  Quasi-spin projection in an exactly soluble model , 1979 .

[2]  P. Ring,et al.  Giant dipole resonance at very high spin , 1982 .

[3]  M. Strayer,et al.  The Nuclear Many-Body Problem , 2004 .

[4]  A. Katz Principles of statistical mechanics : the information theory approach , 1967 .

[5]  Evaldo M. F. Curado,et al.  Concepts and Recent Advances in Generalized Information Measures and Statistics , 2018 .

[6]  Steeve Zozor,et al.  On Generalized Stam Inequalities and Fisher-Rényi Complexity Measures , 2017, Entropy.

[7]  Osvaldo A. Rosso,et al.  Statistical complexity and disequilibrium , 2003 .

[8]  Irene Valero Toranzo,et al.  One-Parameter Fisher-Rényi Complexity: Notion and Hydrogenic Applications , 2016, Entropy.

[9]  Ricardo López-Ruiz,et al.  A Statistical Measure of Complexity , 1995, ArXiv.

[10]  I. N. Mikhailov,et al.  The microscopic description of the isovector dipole excitations at high spins , 1983 .

[11]  Celia Anteneodo,et al.  Some features of the López-Ruiz-Mancini-Calbet (LMC) statistical measure of complexity , 1996 .

[12]  D. Basov,et al.  Manifesto for a higher T c , 2011 .

[13]  D. Haar,et al.  Statistical Physics , 1971, Nature.

[14]  Ian J. Ford,et al.  Statistical Physics: An Entropic Approach , 2013 .

[15]  F. Reif,et al.  Fundamentals of Statistical and Thermal Physics , 1965 .

[16]  J. S. Dehesa,et al.  Monotone measures of statistical complexity , 2015, 1510.01547.

[17]  Generalized statistics and high-Tc superconductivity , 2001, cond-mat/0105579.

[18]  A. Chubukov Manifesto for a higher Tc , 2011 .

[19]  R. López-Ruiz,et al.  Complexity in some Physical Systems , 2001, Int. J. Bifurc. Chaos.

[20]  Osvaldo A. Rosso,et al.  Generalized statistical complexity measures: Geometrical and analytical properties , 2006 .

[21]  Melanie Mitchell,et al.  Complexity - A Guided Tour , 2009 .

[22]  M. Llano,et al.  Multiple phases in a new statistical boson–fermion model of superconductivity , 2003 .

[23]  A. Plastino,et al.  Pairing effects at finite temperature and finite rotational frequencies: An exactly soluble model , 1983 .