From the Frenkel-Kontorova model to Josephson junction arrays - the Aubry's transition as a jamming-glass transition -

TL;DR

This paper explores the connection between the Aubry's transition in the Frenkel-Kontorova model and a similar jamming transition observed in Josephson junction arrays, highlighting their shared physical mechanisms.

Contribution

It establishes a theoretical link between the Aubry's transition in FK models and jamming phenomena in Josephson junction arrays, extending the understanding of these transitions across different systems.

Findings

Aubry's transition occurs at zero temperature in FK models.

Similar transition observed in Josephson junction arrays at zero and finite temperatures.

The study relates the jamming-glass transition to the Aubry's transition in these systems.

Abstract

The Frenkel Kontorova (FK) model is known to exhibit the so called Aubry's transition which is a jamming or frictional transition at zero temperature. Recently we found similar transition at zero and finite temperatures in a super-conducting Josephson junction array (JJA) on a square lattice under external magnetic field. In the present paper we discuss how these problems are related.