start-ver=1.4 cd-journal=joma no-vol=104 cd-vols= no-issue=22-24 article-no= start-page=3469 end-page=3477 dt-received= dt-revised= dt-accepted= dt-pub-year=2006 dt-pub=20061001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Line adsorption in a mean-field density functional model en-subtitle= kn-subtitle= en-abstract= kn-abstract=

Recent ideas about the analog for a three-phase contact line of the Gibbs adsorption equation for interfaces are illustrated in a mean-field density-functional model. With $d¥tau$ the infinitesimal change in the line tension $¥tau$ that accompanies the infinitesimal changes $d¥mu_i$ in the thermodynamic field variables $¥mu_i$ and with $¥Lambda_i$ the line adsorptions, the sum $d¥tau + ¥Sigma ¥Lambda_i d¥mu_i$, unlike its surface analog, is not 0. An equivalent of this sum in the model system is evaluated numerically and analytically. A general line adsorption equation, which the model results illustrate, is derived.

en-copyright= kn-copyright= en-aut-name=KogaKenichiro en-aut-sei=Koga en-aut-mei=Kenichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WidomBenjamin en-aut-sei=Widom en-aut-mei=Benjamin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Okayama University affil-num=2 en-affil= kn-affil=Cornell University en-keyword=line tension kn-keyword=line tension en-keyword=line adsorption kn-keyword=line adsorption en-keyword=adsorption equation kn-keyword=adsorption equation en-keyword=three-phase equilibria kn-keyword=three-phase equilibria en-keyword=partial wetting kn-keyword=partial wetting END