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Bragg diffraction at structural phase transitions: a molecular dynamics study
| Content Provider | Scilit |
|---|---|
| Author | Mair, S. L. |
| Copyright Year | 1986 |
| Description | Journal: Journal of Physics C: Solid State Physics The temperature dependences of the mean square displacements and order parameters have been calculated using molecular dynamics for a series of ferrodistortive and antiferrodistortive phase transitions for two-dimensional lattices of varying size. The model system consists of a multiple-minimum effective one-particle potential centred on each lattice site and harmonic nearest-neighbour coupling. By allowing the walls of the one-particle potential to be quadratic the experimentally observed linear temperature dependence of the mean square displacements at high temperatures can be reproduced. Choosing as the origin the equilibrium atomic position for the high-temperature phase, the mean square displacements are observed to be smooth across the phase transition, $T_{c}$ occurring in the vicinity of the point of inflection. This behaviour is in agreement with scaling theory, although mean-field theory predicts a spurious cusp-singularity at $T_{c}$. Comparisons are made with experimental data and with one-dimensional models. |
| Related Links | http://iopscience.iop.org/article/10.1088/0022-3719/19/32/008/pdf |
| Ending Page | 6338 |
| Page Count | 18 |
| Starting Page | 6321 |
| ISSN | 00223719 |
| DOI | 10.1088/0022-3719/19/32/008 |
| Journal | Journal of Physics C: Solid State Physics |
| Issue Number | 32 |
| Volume Number | 19 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1986-11-20 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics C: Solid State Physics Condensed Matter Physics Molecular Dynamic Mean Field Theory Mean Square Displacement Phase Transition |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Condensed Matter Physics Engineering |