From the Frenkel-Kontorova model to Josephson junction arrays - the Aubry's transition as a jamming-glass transition -
arXiv:1004.1652 · doi:10.1143/PTPS.184.153
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.
19 pages, 6 figures. To appear in the proceedings of YKIS2009 Frontiers in Nonequilibrium Physics, Progress in Theoretical Physics supplement 2010.
Cited by in corpus (4)
- Quantum phase transition with dissipative frustration
- Analytical Calculation of Four-Point Correlations for a Simple Model of Cages Involving Numerous Particles
- Vortex solid phase with frozen undulations in superconducting Josephson-junction arrays in external magnetic fields
- Transition by Breaking of Analyticity in the Ground State of Josephson Junction Arrays as a Static Signature of the Vortex Jamming Transition