The statistical mechanical properties of plane polymer configurations which enclose a fixed area and are subject to an external electric field are investigated. For this purpose an exact expression for the generating functional is obtained and subsequently used to derive: (a) the distribution function for the enclosed area; (b) the mean square distance of a given repeating unit from the origin; (c) the entropic force on a repeating unit.
Khandekar, D. C., & Wiegel, F. W. (1993). Plane polymer configurations enclosing a fixed area in an electric field: generating functional and statistical mechanical properties. Physica A, 193(3-4), 421-438. https://doi.org/10.1016/0378-4371(93)90485-M