Coarsening and Aging of Lattice Polymers: Influence of Bond Fluctuations

Abstract

We present results for the nonequilibrium dynamics of collapse for a model flexible homopolymer on simple cubic lattices with fixed and fluctuating bonds between the monomers. Results from our Monte Carlo simulations show that, phenomenologically, the sequence of events observed during the collapse are independent of the bond criterion. While the growth of the clusters (of monomers) at different temperatures exhibits a nonuniversal power-law behavior when the bonds are fixed, the introduction of fluctuations in the bonds by considering the existence of diagonal bonds produces a temperature independent growth, which can be described by a universal nonequilibrium finite-size scaling function with a non-universal metric factor. We also examine the related aging phenomenon, probed by a suitable two-time density-density autocorrelation function showing a simple power-law scaling with respect to the growing cluster size. Unlike the cluster-growth exponent ${\alpha }_c$, the nonequilibrium autocorrelation exponent ${\lambda }_C$ governing the aging during the collapse, however, is independent of the bond type and strictly follows the bounds proposed by two of us in Phys. Rev. E 93, 032506 (2016) at all temperatures.

arXiv comment14 pages, 12 figures, accepted for publication in Journal of Chemical Physics

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• Finite-size scaling in the ageing dynamics of the $1D$ Glauber-Ising model
• Physical ageing from generalised time-translation-invariance
• Superdiffusion-like behavior in zero-temperature coarsening of the $d=3$ Ising model
• Dissipative Dynamics of a Single Polymer in Solution: A Lowe-Andersen Approach
• Scaling laws during collapse of a homopolymer: Lattice versus off-lattice
• Role of temperature and alignment activity on kinetics of coil-globule transition of a flexible polymer
• Nonequilibrium Dynamics of the Helix-Coil Transition in Polyalanine
• Time is length in self-similar logarithmic aging of physically cross-linked semiflexible polymer networks
• Scale-free cluster-cluster aggregation during polymer collapse