Fluctuation of gauge field for general nonlinear Fokker-Planck equation and covariant version of Fisher information matrix

• Authors: Takuya Yamano
• Languages of publication: EN

Abstracts

EN

We clarify a strong link between general nonlinear Fokker-Planck equations with gauge fields associated with nonequilibrium dynamics and the Fisher information of the system. The notion of Abelian gauge theory for the non-equilibrium Fokker-Planck equation has proposed in the literature, in which the associated curvature represents internal geometry. We present the fluctuation of the gauge field can be decomposed into three parts. We further show that if we define the Fisher information matrix by using a covariant derivative then it gives correlation of the flux components but it is not gauge invariant.

Keywords

EN

Fisher information; Gauge field; nonlinear Fokker-Planck equations

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 7
• Pages: 910-914

Dates

published

1 - 7 - 2013

online

17 - 10 - 2013

Contributors

author

Takuya Yamano

• Department of Mathematics and Physics, Faculty of Science, Kanagawa University, 2946, 6-233 Tsuchiya, Hiratsuka, Kanagawa, 259-1293, Japan

References

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Identifiers

DOI

10.2478/s11534-013-0290-5