Numerical evaluation of α(n) (Eq. (23)) at four different temperatures and ρ = 0.007. The line is the fit function (Eq. (24)).
Chain and ring size distribution functions at ρ = 0.02 and different temperatures T.
Average cluster size of chains (top) and rings (bottom) as a function of the inverse temperature for different ρ. Symbols are numerical results; solid lines are the theoretical predictions of (25) and (26); dashed lines are the theoretical predictions when rings are excluded from Wertheim theory.
Average cluster size of chains (top) and rings (bottom) as a function of ρ for different T. Symbols and lines as in Fig. 3.
Ratio between and at four different T and ρ = 0.02. The dashed line indicates , to visualize the range in n for which, at a given T > T onset , rings become more probable than chains. The full lines are the theoretical predictions for this ratio calculated using (3), (23), and (24).
Potential energy (proportional to the number of bonds) per particle as a function of T for several ρ values. Symbols are MC results. Lines are theoretical predictions for the case in which rings are either excluded or included in Wertheim theory.
Fraction of particles in rings f pr evaluated from MC simulations (symbols), and with Wertheim theory (lines).
Mean of the square of the end to end distance for the KF chains, for the indicated values of the parameter cos (θmax). The symbols are results from numerical simulations. The dashed lines are , calculated using (A4).
Correlation function as a function of |j − i| for different cos θmax.
Persistence length of the KF chains as a function of the parameter of the model cos (θmax). Symbols are the results of numerical simulations; the line is the calculation resulting from (A5).
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