Details
| Original language | English |
|---|---|
| Article number | 134104 |
| Journal | Physical Review B |
| Volume | 95 |
| Issue number | 13 |
| Publication status | Published - 10 Apr 2017 |
| Externally published | Yes |
Abstract
We study the nonequilibrium dynamics of second-order classical phase transitions in a simplified Ginzburg-Landau model using the Fokker-Planck formalism. In particular, we focus on deriving the Kibble-Zurek scaling laws that dictate the dependence of spatial correlations on the quench rate. In the limiting cases of overdamped and underdamped dynamics, the Fokker-Planck method confirms the theoretical predictions of the Kibble-Zurek scaling theory. The developed framework is computationally efficient, enables the prediction of finite-size scaling functions, and is applicable to microscopic models as well as their hydrodynamic approximations. We demonstrate this extended range of applicability by analyzing the nonequilibrium linear to zigzag structural phase transition in ion Coulomb crystals confined in a trap with periodic boundary conditions.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 95, No. 13, 134104, 10.04.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fokker-Planck formalism approach to Kibble-Zurek scaling laws and nonequilibrium dynamics
AU - Puebla, Ricardo
AU - Nigmatullin, Ramil
AU - Mehlstäubler, Tanja E.
AU - Plenio, Martin B.
PY - 2017/4/10
Y1 - 2017/4/10
N2 - We study the nonequilibrium dynamics of second-order classical phase transitions in a simplified Ginzburg-Landau model using the Fokker-Planck formalism. In particular, we focus on deriving the Kibble-Zurek scaling laws that dictate the dependence of spatial correlations on the quench rate. In the limiting cases of overdamped and underdamped dynamics, the Fokker-Planck method confirms the theoretical predictions of the Kibble-Zurek scaling theory. The developed framework is computationally efficient, enables the prediction of finite-size scaling functions, and is applicable to microscopic models as well as their hydrodynamic approximations. We demonstrate this extended range of applicability by analyzing the nonequilibrium linear to zigzag structural phase transition in ion Coulomb crystals confined in a trap with periodic boundary conditions.
AB - We study the nonequilibrium dynamics of second-order classical phase transitions in a simplified Ginzburg-Landau model using the Fokker-Planck formalism. In particular, we focus on deriving the Kibble-Zurek scaling laws that dictate the dependence of spatial correlations on the quench rate. In the limiting cases of overdamped and underdamped dynamics, the Fokker-Planck method confirms the theoretical predictions of the Kibble-Zurek scaling theory. The developed framework is computationally efficient, enables the prediction of finite-size scaling functions, and is applicable to microscopic models as well as their hydrodynamic approximations. We demonstrate this extended range of applicability by analyzing the nonequilibrium linear to zigzag structural phase transition in ion Coulomb crystals confined in a trap with periodic boundary conditions.
UR - http://www.scopus.com/inward/record.url?scp=85017520346&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.95.134104
DO - 10.1103/PhysRevB.95.134104
M3 - Article
AN - SCOPUS:85017520346
VL - 95
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 13
M1 - 134104
ER -