Transcript Non-equilibrium Relaxation and Critical Aging for Driven Ising Lattice Gases

Non-equilibrium Relaxation and Critical Aging
for Driven Ising Lattice Gases
Scientific Achievement
The critical exponents for driven Ising lattice gases
were accurately determined from the non-equilibrium
relaxation and aging scaling following a quench from a
disordered initial state to the critical point.
Significance and Impact
Our precise simulation data demonstrate that universal
critical properties of complex non-equilibrium systems
are accessible through analysis of aging scaling, and
resolved a long-standing controversy in the literature.
The two-time density auto-correlation function of
a driven Ising lattice gas following a quench from a
high-temperature initial state to the critical point.
Left panel: unscaled data vs. t - s (waiting times s
listed in inset of right panel). Middle / right panels:
aging scaling plots with DI and RD exponents;
scaling collapse ensues only for the DI values.
Reference: George L. Daquila and Uwe C. Tӓuber,
Physical Review Letters 108, 110602 – 1-5 (2012).
Work was performed at Virginia Tech,
Department of Physics, Blacksburg, Virginia.
Research Details
– Our Monte Carlo simulations compute the two-time density
auto-correlations and the order parameter time evolution.
– The data confirm renormalization group predictions based on
a Langevin representation of driven Ising lattice gases (DI) in
two dimensions, but are unambiguously at variance with the
randomly driven lattice gas (RD) conjecture.
– We have since employed aging scaling features to in detail
characterize magnetic flux line relaxation kinetics in type-II
superconductors with point and columnar pinning centers.