Time series analysis of friction force at self-affine mode of ice surface softening

TL;DR

This paper investigates the self-affine mode of ice softening during friction using rheological models and time series analysis, revealing self-similarity and power-law spectral behavior in friction force data.

Contribution

It introduces a rheological model for ice softening and applies comprehensive time series analysis to identify self-similar and power-law characteristics in friction force.

Findings

Spectral power law observed in crystalline and softening ice modes

Self-similarity and aperiodic nature of friction force time series confirmed

Different friction modes linked to surface liquid-like layer formation

Abstract

The self-affine mode of ice softening during friction is investigated within the rheological model for viscoelastic medium approximation. The different modes of ice rubbing, determined by formation of surface liquid-like layer, are studied. The analysis of time series of friction force is carried out, namely Fourier analysis, construction of autocorrelation and difference autocorrelation functions. The spectral power law is detected for modes of crystalline ice as well as of a mixture of stable ice and metastable softening. The self-similarity and aperiodic character of corresponding time series of friction force are proved.