## Abstract

We present a new context independent complexity measure, the information capacitance, for discrete probability distributions, which is based on entropy- and energy measures and describes the ability of a system to absorb or emit information. We compare the new complexity measure with the statistical definition of complexity given by Lopez-Ruiz, Mancini and Calbet. We apply both definitions in several systems which are described by discrete probability distributions. Namely, two systems beyond the thermodynamic equilibrium, i.e. a DNA-two state system and the logistic map, and also for magnetic systems in thermodynamic equilibrium. It is shown that the information capacitance takes into account spin fluctuations near phase transitions in magnetic systems.

Original language | English |
---|---|

Article number | 126790 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 592 |

DOIs | |

State | Published - 15 Apr 2022 |

Externally published | Yes |

### Bibliographical note

Funding Information:C.V.L and H.N. are grateful to Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica, Republic of Peru for partial financial support through the Excellence Centers Program.

Funding Information:

C.V.L and H.N. are grateful to Consejo Nacional de Ciencia, Tecnolog?a e Innovaci?n Tecnol?gica, Republic of Peru for partial financial support through the Excellence Centers Program.

Publisher Copyright:

© 2021 Elsevier B.V.

## Keywords

- Complexity
- DNA
- Logistic map
- Magnetic systems