Effective forces induced by fluctuating interface: exact results
We present exact derivations of the effective capillary wave fluctuation induced forces resulting from pinning of an interface between two coexisting phases at two points separated by a distance r. In two dimensions the Ising ferromagnet calculations based on the transfer matrix approach give an att...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2007
|
| _version_ | 1797079684093050880 |
|---|---|
| author | Abraham, D Essler, F Maciolek, A |
| author_facet | Abraham, D Essler, F Maciolek, A |
| author_sort | Abraham, D |
| collection | OXFORD |
| description | We present exact derivations of the effective capillary wave fluctuation induced forces resulting from pinning of an interface between two coexisting phases at two points separated by a distance r. In two dimensions the Ising ferromagnet calculations based on the transfer matrix approach give an attractive force decaying as 1/r for large distances. In three dimensions mapping of the body-centered solid-on-solid model onto the 6-vertex model allows for exact solution using the bosonization analysis of the equivalent XXZ Heisenberg quantum chain. The exact result gives the attractive force which decays asymptotically as 1/(r\log r). |
| first_indexed | 2024-03-07T00:49:16Z |
| format | Journal article |
| id | oxford-uuid:85cf279c-328b-425b-a55d-e8308e251b45 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:49:16Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:85cf279c-328b-425b-a55d-e8308e251b452022-03-26T21:59:55ZEffective forces induced by fluctuating interface: exact resultsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:85cf279c-328b-425b-a55d-e8308e251b45EnglishSymplectic Elements at Oxford2007Abraham, DEssler, FMaciolek, AWe present exact derivations of the effective capillary wave fluctuation induced forces resulting from pinning of an interface between two coexisting phases at two points separated by a distance r. In two dimensions the Ising ferromagnet calculations based on the transfer matrix approach give an attractive force decaying as 1/r for large distances. In three dimensions mapping of the body-centered solid-on-solid model onto the 6-vertex model allows for exact solution using the bosonization analysis of the equivalent XXZ Heisenberg quantum chain. The exact result gives the attractive force which decays asymptotically as 1/(r\log r). |
| spellingShingle | Abraham, D Essler, F Maciolek, A Effective forces induced by fluctuating interface: exact results |
| title | Effective forces induced by fluctuating interface: exact results |
| title_full | Effective forces induced by fluctuating interface: exact results |
| title_fullStr | Effective forces induced by fluctuating interface: exact results |
| title_full_unstemmed | Effective forces induced by fluctuating interface: exact results |
| title_short | Effective forces induced by fluctuating interface: exact results |
| title_sort | effective forces induced by fluctuating interface exact results |
| work_keys_str_mv | AT abrahamd effectiveforcesinducedbyfluctuatinginterfaceexactresults AT esslerf effectiveforcesinducedbyfluctuatinginterfaceexactresults AT macioleka effectiveforcesinducedbyfluctuatinginterfaceexactresults |