Outofequilibrium onedimensional disordered dipole chain
Abstract
We consider a chain of onedimensional dipole moments connected to two thermal baths with different temperatures. The system is in nonequilibrium steady state and heat flows through it. Assuming that fluctuation of the dipole moment is a small parameter, we develop an analytically solvable model for the problem. The effect of disorder is introduced by randomizing the positions of the dipole moments. We show that the disorder leads to Andersonlike transition from conducting to a thermal insulating state of the chain. It is shown that considered chain supports both ballistic and diffusive heat transports depending on the strength of the disorder. We demonstrate that nonequilibrium leads to the emergence of the longrange order between dipoles along the chain and make the conjecture that the interplay between nonequilibrium and nexttonearestneighbor interactions results in the emergence of longrange correlations in lowdimensional classical systems.
 Publication:

Physical Review E
 Pub Date:
 July 2013
 DOI:
 10.1103/PhysRevE.88.012118
 arXiv:
 arXiv:1304.5060
 Bibcode:
 2013PhRvE..88a2118D
 Keywords:

 44.10.+i;
 05.60.Cd;
 71.23.k;
 Heat conduction;
 Classical transport;
 Electronic structure of disordered solids;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 25 pages, 10 figures