Strong Phase Separation in a Model of Sedimenting Lattices

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

To appear in Phys Rev E (1 January 2000), 16 pages, RevTex, uses epsf, three ps figures

Scientific paper

10.1103/PhysRevE.61.1648

We study the steady state resulting from instabilities in crystals driven through a dissipative medium, for instance, a colloidal crystal which is steadily sedimenting through a viscous fluid. The problem involves two coupled fields, the density and the tilt; the latter describes the orientation of the mass tensor with respect to the driving field. We map the problem to a 1-d lattice model with two coupled species of spins evolving through conserved dynamics. In the steady state of this model each of the two species shows macroscopic phase separation. This phase separation is robust and survives at all temperatures or noise levels--- hence the term Strong Phase Separation. This sort of phase separation can be understood in terms of barriers to remixing which grow with system size and result in a logarithmically slow approach to the steady state. In a particular symmetric limit, it is shown that the condition of detailed balance holds with a Hamiltonian which has infinite-ranged interactions, even though the initial model has only local dynamics. The long-ranged character of the interactions is responsible for phase separation, and for the fact that it persists at all temperatures. Possible experimental tests of the phenomenon are discussed.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Strong Phase Separation in a Model of Sedimenting Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strong Phase Separation in a Model of Sedimenting Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong Phase Separation in a Model of Sedimenting Lattices will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-286187

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.