Sustaining supercooled mixed phase via resonant oscillations of the order parameter

Details Sustaining supercooled mixed phase via resonant oscillations of the order parameter Sustaining supercooled mixed phase via resonant oscillations of the order parameter

2002-01-06

arxiv.org/abs/cond-mat/0201063v2

Int.J.Mod.Phys. A19 (2004) 1511-1524

Physics

Condensed Matter

17 pages, 7 figures, Expanded version with more details

Scientific paper

10.1142/S0217751X0401818X

We investigate the dynamics of a first order transition when the order parameter field undergoes resonant oscillations, driven by a periodically varying parameter of the free energy. This parameter could be a background oscillating field as in models of pre-heating after inflation. In the context of condensed matter systems, it could be temperature $T$, or pressure, external electric/magnetic field etc. We show that with suitable driving frequency and amplitude, the system remains in a type of mixed phase, without ever completing transition to the stable phase, even when the oscillating parameter of the free energy remains below the corresponding critical value (for example, with oscillating temperature, $T$ always remains below the critical temperature $T_c$). This phenomenon may have important implications. In cosmology, it will imply prolonged mixed phase in a first order transition due to coupling with background oscillating fields. In condensed matter systems, it will imply that using oscillating temperature (or, more appropriately, pressure waves) one may be able to sustain liquids in a mixed phase indefinitely at low temperatures, without making transition to the frozen phase.

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