The specific heat of thin films near the λ-transition: a Monte Carlo study of an improved three-dimensional lattice model
We study the finite size scaling behaviour of the specific heat of thin films in the neighbourhood of the λ-transition. To this end we have simulated the improved two-component ϕ4 model on the simple cubic lattice. We employ free boundary conditions in the short direction to mimic the vanishing orde...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
8 October 2009
|
| In: |
Journal of statistical mechanics: theory and experiment
Year: 2009, Issue: 10, Pages: 1-37 |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/2009/10/P10006 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1742-5468/2009/10/P10006
|
| Author Notes: | Martin Hasenbusch |
| Summary: | We study the finite size scaling behaviour of the specific heat of thin films in the neighbourhood of the λ-transition. To this end we have simulated the improved two-component ϕ4 model on the simple cubic lattice. We employ free boundary conditions in the short direction to mimic the vanishing order parameter at the boundaries of a 4He film. Most of our simulations are performed for the thicknesses L0 = 8, 16 and 32 of the film. It turns out that one has to take into account corrections to obtain a good collapse of the finite size scaling functions obtained from different L0. Our results are compared with those obtained from experiments on thin films of 4He near the λ-transition, from field theory and from previous Monte Carlo simulations. |
|---|---|
| Item Description: | Gesehen am 09.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/2009/10/P10006 |