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Force-velocity relation and density profiles for biased diffusion in an adsorbed monolayer | O.Benichou
; A.M.Cazabat
; J.De Coninck
; M.Moreau
; G.Oshanin
; | Date: |
26 Apr 2000 | Subject: | Soft Condensed Matter; Statistical Mechanics | cond-mat.soft cond-mat.stat-mech | Affiliation: | 1,2), A.M.Cazabat , J.De Coninck , M.Moreau and G.Oshanin ( LPTMS, University Paris-Sud, France; LPTL, University Paris 6, France; LPMC, College de France, Paris, France; CRMM, University of Mons-Hainaut, Mons, Belgium | Abstract: | In this paper, which completes our earlier short publication [Phys. Rev. Lett. 84, 511 (2000)], we study dynamics of a hard-core tracer particle (TP) performing a biased random walk in an adsorbed monolayer, composed of mobile hard-core particles undergoing continuous exchanges with a vapor phase. In terms of an approximate approach, based on the decoupling of the third-order correlation functions, we obtain the density profiles of the monolayer particles around the TP and derive the force-velocity relation, determining the TP terminal velocity, V_{tr}, as the function of the magnitude of external bias and other system’s parameters. Asymptotic forms of the monolayer particles density profiles at large separations from the TP, and behavior of V_{tr} in the limit of small external bias are found explicitly. | Source: | arXiv, cond-mat/0004443 | Services: | Forum | Review | PDF | Favorites |
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