Figure 1

Plots of time-correlation functions $F(\mathrm{t̃})$ (a) and $G(\mathrm{t̃})$ (b) for a variety of $N$ values at $\mathrm{\epsilon ̃}=2.08$ are shown. There is a distinct change in the correlation dynamics as $N$ is increased above $N=250$. Both graphs are fit to double-exponential fits and the fit parameters for (a) are shown in (c). This plot demonstrates that there is a substantial change in $A_i$ values at $N^{*}\approx 250$, which is due to the appearance of prominent relaxation modes that operate on time scales well beyond accessible simulation times.Reuse & Permissions

Figure 2

Plot of the $\mathrm{\epsilon ̃}$ dependence of $F(500\tau )$ for a variety of $N$ values. The value of $F(500\tau )$ approximates $A_0$ and displays the same drastic increase in value at a critical value of ${\mathrm{\epsilon ̃}}^{*}$. We indicate the location of ${\mathrm{\epsilon ̃}}^{*}$ for each $N$ with arrows corresponding to the point $F(500\tau )\approx 5$. ${\mathrm{\epsilon ̃}}^{*}$ is clearly a function of $N$, and the inset maps the transition on the $\mathrm{\epsilon ̃}-N$ plane. Gratifyingly the resulting globule solid-liquid transition curve corresponds well to the scaling introduced by Rampf shown in Eq. (1) [7]. Red traces represent the trajectory of the globule as it shrinks due to the pulling that is demonstrated in Fig. 3. The red “$\times$ ”s represent the apparent solid-liquid transition seen in these simulations, which directly corresponds to the transition seen in quiescent globules.Reuse & Permissions

Figure 3

(Top panel) Force $\mathrm{f̃}$ vs extension $\mathrm{L̃}$ plots for an annealed globule of $N=300$, with $\mathrm{\epsilon ̃}=2.08,2.50,2.91$ (solid, dashed, dotted lines, respectively) and $\mathrm{ṽ}=0.001$. The curve at $\mathrm{\epsilon ̃}=2.08$ demonstrates only the features of a liquid globule, while the curves at $\mathrm{\epsilon ̃}=2.50$ and $2.91$ initially demonstrate the response characteristic of a solid globule. Upon passing the transition points shown in the Fig. 2 inset (indicated in this figure by the arrows), the pulling response reverts to liquid-like behavior. This transition is also seen in direct measurements of the globule reorganization dynamics by plotting $F(50\tau ,\mathrm{L̃})$ vs $\mathrm{L̃}$, which demonstrates a similar transition that is also indicated by arrows.Reuse & Permissions