English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We utilize an effective field theory approach to calculate Casimirinteractions between objects bound to thermally fluctuating fluid surfaces orinterfaces. This approach circumvents the complicated constraints imposed bysuch objects on the functional integration measure by reverting to a pointparticle representation. To capture the finite size effects, we perturb theHamiltonian by DH that encapsulates the particles' response to external fields.DH is systematically expanded in a series of terms, each of which scaleshomogeneously in the two power counting parameters: \lambda \equiv R/r, theratio of the typical object size (R) to the typical distance between them (r),and delta=kB T/k, where k is the modulus characterizing the surface energy. Thecoefficients of the terms in DH correspond to generalized polarizabilities andthus the formalism applies to rigid as well as deformable objects.Singularities induced by the point particle description can be dealt with usingstandard renormalization techniques. We first illustrate and verify ourapproach by re-deriving known pair forces between circular objects bound tofilms or membranes. To demonstrate its efficiency and versatility, we thenderive a number of new results: The triplet interactions present in thesesystems, a higher order correction to the film interaction, and general scalinglaws for the leading order interaction valid for objects of arbitrary shape andinternal flexibility.

Effective field theory approach to Casimir interactions on soft matter surfaces