FENE stands for the finitely extensible nonlinear elastic model of a long-chained polymer. It simplifies the chain of monomers by connecting a sequence of beads with nonlinear springs. The spring force law is governed by inverse Langevin function or approximated by the Warner's relationship
[math]\displaystyle{ \textbf{F}_i=\frac{H \textbf{R}_i}{1-(R_i/L_{max})^2} }[/math]
Where [math]\displaystyle{ R_i = |\textbf{R}_i| }[/math] and H is the spring constant.
Total stretching force on ith bead can be written as: [math]\displaystyle{ \textbf{F}_i - \textbf{F}_{i-1} }[/math].
Original source: https://en.wikipedia.org/wiki/FENE.
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