Abstract
The nonlinear equations describing phase-ordering dynamics can be closed by assuming the existence of an underlying Gaussian stochastic field which is nonlinearly related to the observable order-parameter field. We discuss the relation between different implementations of the Gaussian assumption and consider the limitations of this assumption for phase-ordering dynamics. The fact that the different approaches give different results is a sign of the breakdown of the Gaussian assumption. We discuss both the nonconserved and conserved order-parameter cases. We demonstrate that the Gaussian assumption cannot describe the large length-scale behavior in the latter case.
Original language | English (US) |
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Pages (from-to) | 2693-2699 |
Number of pages | 7 |
Journal | Physical Review E |
Volume | 49 |
Issue number | 4 |
DOIs | |
State | Published - 1994 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics