Signature of nonlinear damping in geometric structure of a nonequilibrium process

Eun Jin Kim, Rainer Hollerbach

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We investigate the effect of nonlinear interaction on the geometric structure of a nonequilibrium process. Specifically, by considering a driven-dissipative system where a stochastic variable x is damped either linearly (x) or nonlinearly (x3) while driven by a white noise, we compute the time-dependent probability density functions (PDFs) during the relaxation towards equilibrium from an initial nonequilibrium state. From these PDFs, we quantify the information change by the information length L, which is the total number of statistically distinguishable states which the system passes through from the initial state to the final state. By exploiting different initial PDFs and the strength D of the white-noise forcing, we show that for a linear system, L increases essentially linearly with an initial mean value y0 of x as Ly0, demonstrating the preservation of a linear geometry. In comparison, in the case of a cubic damping, L has a power-law scaling as Ly0m, with the exponent m depending on D and the width of the initial PDF. The rate at which information changes also exhibits a robust power-law scaling with time for the cubic damping.

Original languageEnglish
Article number022137
JournalPhysical Review E
Volume95
Issue number2
DOIs
Publication statusPublished - 27 Feb 2017
Externally publishedYes

Fingerprint

Nonlinear Damping
Geometric Structure
probability density functions
Probability density function
Non-equilibrium
Signature
damping
signatures
white noise
White noise
scaling laws
Damping
Power Law
Linearly
Scaling
Nonlinear Interaction
Dissipative Systems
linear systems
Damped
Mean Value

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Signature of nonlinear damping in geometric structure of a nonequilibrium process. / Kim, Eun Jin; Hollerbach, Rainer.

In: Physical Review E, Vol. 95, No. 2, 022137, 27.02.2017.

Research output: Contribution to journalArticle

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