TY - JOUR
T1 - Classical Statistical Mechanics of Constraints: A Theorem and Application to Polymers
JF - Proceedings of the National Academy of Sciences
JO - Proc Natl Acad Sci USA
SP - 3050
LP - 3053
DO - 10.1073/pnas.71.8.3050
VL - 71
IS - 8
AU - Fixman, Marshall
Y1 - 1974/08/01
UR - http://www.pnas.org/content/71/8/3050.abstract
N2 - A classical system of mass points subject to holonomic constraints has a kinetic energy dependent on the coordinates as well as the moments of the remaining degrees of freedom. Coordinate averages formed in the reduced space of unconstrained coordinates and their conjugate momenta then involve a metric determinant that may be difficult to evaluate. A theorem is derived that permits a relatively easy evaluation when the constraints are distances between particles, and an application is made to a Kramers type freely jointed chain.
ER -