Dynamical frictional phenomena in an incommensurate two-chain model

TL;DR

This paper investigates the theoretical mechanisms of dynamical friction in an incommensurate two-chain model, revealing phonon contributions, state peculiarities, and connections to the Frenkel-Kontorova model.

Contribution

It introduces a perturbation theory for dynamical friction in incommensurate chains and explores the model's unique states and parameter regimes.

Findings

Phonons contribute to kinetic friction in the model.

Peculiar breaking of analyticity states are identified.

The model's relation to the Frenkel-Kontorova model is discussed.

Abstract

Dynamical frictional phenomena are studied theoretically in a two-chain model with incommensurate structure. A perturbation theory with respect to the interchain interaction reveals the contributions from phonons excited in each chain to the kinetic frictional force. The validity of the theory is verified in the case of weak interaction by comparing with numerical simulation. The velocity and the interchain interaction dependences of the lattice structure are also investigated. It is shown that peculiar breaking of analyticity states appear, which is characteristic to the two-chain model. The range of the parameters in which the two-chain model is reduced to the Frenkel-Kontorova model is also discussed.