Can nonlinear elasticity explain contact-line roughness at depinning?
We examine whether cubic nonlinearities, allowed by symmetry in the elastic energy of a contact line, may result in a different universality class at depinning. Standard linear elasticity predicts a roughness exponent zeta = 1/3 (one loop), zeta = 0.388 +/- 0.002 (numerics) while experiments give ze...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2006
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| _version_ | 1826303671185440768 |
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| author | Le Doussal, P Wiese, K Raphael, E Golestanian, R |
| author_facet | Le Doussal, P Wiese, K Raphael, E Golestanian, R |
| author_sort | Le Doussal, P |
| collection | OXFORD |
| description | We examine whether cubic nonlinearities, allowed by symmetry in the elastic energy of a contact line, may result in a different universality class at depinning. Standard linear elasticity predicts a roughness exponent zeta = 1/3 (one loop), zeta = 0.388 +/- 0.002 (numerics) while experiments give zeta approximately = 0.5. Within functional renormalization group methods we find that a nonlocal Kardar-Parisi-Zhang-type term is generated at depinning and grows under coarse graining. A fixed point with zeta approximately = 0.45 (one loop) is identified, showing that large enough cubic terms increase the roughness. This fixed point is unstable, revealing a rough strong-coupling phase. Experimental study of contact angles theta near pi/2, where cubic terms in the energy vanish, is suggested. |
| first_indexed | 2024-03-07T06:06:14Z |
| format | Journal article |
| id | oxford-uuid:edf2e21a-2efd-4e45-b854-1f99813278be |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:06:14Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:edf2e21a-2efd-4e45-b854-1f99813278be2022-03-27T11:28:56ZCan nonlinear elasticity explain contact-line roughness at depinning?Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:edf2e21a-2efd-4e45-b854-1f99813278beEnglishSymplectic Elements at Oxford2006Le Doussal, PWiese, KRaphael, EGolestanian, RWe examine whether cubic nonlinearities, allowed by symmetry in the elastic energy of a contact line, may result in a different universality class at depinning. Standard linear elasticity predicts a roughness exponent zeta = 1/3 (one loop), zeta = 0.388 +/- 0.002 (numerics) while experiments give zeta approximately = 0.5. Within functional renormalization group methods we find that a nonlocal Kardar-Parisi-Zhang-type term is generated at depinning and grows under coarse graining. A fixed point with zeta approximately = 0.45 (one loop) is identified, showing that large enough cubic terms increase the roughness. This fixed point is unstable, revealing a rough strong-coupling phase. Experimental study of contact angles theta near pi/2, where cubic terms in the energy vanish, is suggested. |
| spellingShingle | Le Doussal, P Wiese, K Raphael, E Golestanian, R Can nonlinear elasticity explain contact-line roughness at depinning? |
| title | Can nonlinear elasticity explain contact-line roughness at depinning? |
| title_full | Can nonlinear elasticity explain contact-line roughness at depinning? |
| title_fullStr | Can nonlinear elasticity explain contact-line roughness at depinning? |
| title_full_unstemmed | Can nonlinear elasticity explain contact-line roughness at depinning? |
| title_short | Can nonlinear elasticity explain contact-line roughness at depinning? |
| title_sort | can nonlinear elasticity explain contact line roughness at depinning |
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