Expectation parameter representation of information length for non-equilibrium systems

H. Suzuki and Y. Hashizume

Physica A: Statistical Mechanics and its Applications, 2019, vol. 517, issue C, 400-408

Abstract: To define a metric tensor which supplies the information length with geometric underpinning in the non-equilibrium systems, we introduce the expectation parameters instead of the externally controllable parameters as the coordinates of the statistical manifold of the system. In our formulation, the metric tensor is defined only from the stochastic variables without physical details of the system, and then, the physical properties are taken into account through the time evolution of the correlation functions. Thus, the expectation parameter expression makes it possible to analyze the information length and velocity even in extremely out-of-equilibrium systems. To illustrate usefulness of our methodology, we show the applications of our formulation to the simple three-states system and the spin-1 magnetic meanfield model whose time evolutions are described by the master equations.

Keywords: Information geometry; Information length; Non-equilibrium system; Magnetic meanfield model (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118314109
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:517:y:2019:i:c:p:400-408

DOI: 10.1016/j.physa.2018.11.002

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().