TY - JOUR

T1 - Complexity measures in terms of general dynamics

T2 - The information capacitance

AU - Landauro, C. V.

AU - Nowak, H.

AU - Häussler, P.

N1 - Publisher Copyright:
© 2021 Elsevier B.V.

PY - 2022/4/15

Y1 - 2022/4/15

N2 - 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.

AB - 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.

KW - Complexity

KW - DNA

KW - Logistic map

KW - Magnetic systems

UR - http://www.scopus.com/inward/record.url?scp=85122641852&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2021.126790

DO - 10.1016/j.physa.2021.126790

M3 - Artículo

AN - SCOPUS:85122641852

SN - 0378-4371

VL - 592

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 126790

ER -