Nonergodic dynamics of the two-dimensional random-phase sine-Gordon model: Applications to vortex-glass arrays and disordered-substrate surfaces
Nonergodic dynamics of the two-dimensional random-phase sine-Gordon model: Applications to vortex-glass arrays and disordered-substrate surfaces
The dynamics of the random-phase sine-Gordon model, which describes two-dimensional vortex-glass arrays and crystalline surfaces on disordered substrates, is investigated using the self-consistent Hartree approximation. The fluctuation-dissipation theorem is violated below the critical temperature ${\mathit{T}}_{\mathit{c}}$ for large time t\ensuremath{\gtrsim}${\mathit{t}}^{\mathrm{*}}$ where ${\mathit{t}}^{\mathrm{*}}$ diverges in the thermodynamic limit. While above ${\mathit{T}}_{\mathit{c}}$ the …