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Guy Vinograd

Publications and source records attributed to Guy Vinograd.

2 recordsLinked to original sources
arXiv2002

Structure Factor in the Presence of Shear - an RPA Calculation

We consider the structure factor of a system of colloidal particles immersed in a host liquid. Each particle is assumed to be affected by forces due to other particles, a drag force proportional to the velocity of the particle relative to the local velocity of the fluid and a fluctuating random noise. The effect of the particles on the velocity field of the host liquid is neglected. The problem is treated within the RPA approximation which is a widely used tool in many body theory. The validity of the RPA result is discussed.

cond-mat.stat-mech↗
arXiv2001

The Collective Coordinates Jacobian

We develop an expansion for the Jacobian of the transformation from particle coordinates to collective coordinates. As a demonstration, we use the lowest order of the expansion in conjunction with a variational principle to obtain the Percus Yevick equation for a monodisperse hard sphere system and the Lebowitz equations for a polydisperse hard sphere system.

cond-mat.stat-mech↗