O. Benichou 1, 2, A. M. Cazabat 3, J. De Coninck, M. Moreau 2, G. Oshanin 2
Physical Review B 63 (2001) 235413
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.
- 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud - 2. Laboratoire de Physique Théorique des Liquides (LPTL),
CNRS : UMR7600 – Université Paris VI – Pierre et Marie Curie - 3. Laboratoire de Physique de la Matière Condensée (LPMC),
CNRS : UMR7125 – Collège de France