  Simulating percolation and critical phenomena of labelled species inside
films composed of single-component linear homogeneous macromolecules using
molecular Monte Carlo method in 3 dimensions, we study dependence of these
conducting transition and critical phenomena upon both thermal movement, i.e.
spontaneous mobility, and extra-molecular topological constraints of the
molecules. Systems containing topological constraints and/or composed of
immobile particles, e.g. lattice models and chemical gelation, were studied in
conventional works on percolation. Coordinates of the randomly distributed
particles in the conventional lattice models are limited to discrete lattice
points. Moreover, each particle is spatially fixed at the distributed position,
which results in a temporally unchanged network structure. Although each
polymer in the chemical gels can spontaneously move in the continuous space,
the network structure is fixed when cross-linking reaction ends. By contrast to
these conventional systems, all the molecules in the present system freely move
and spontaneously diffuse in the continuous space. The network structure of the
present molecules continues changing dynamically. The percolation and critical
phenomena of such dynamic network structures are examined here. We reveal that
these phenomena also occur in the present system, and that both the
universality class and percolation threshold are independent from the
extra-molecular topological constraints.
