Stretching of a polymer below the Theta point

Abstract

The unfolding of a polymer below the $\theta$ point when pulled by an external force is studied both in d=2 on the lattice and in $d=3$ off lattice. A ground state analysis of finite length chains shows that the globule unfolds via multiple steps, corresponding to transitions between different minima, in both cases. In the infinite length limit, these intermediate minima have a qualitative effect only in $d=2$. The phase diagram in d=2 is determined using transfer matrix techniques. Energy-entropy and renormalization group arguments are given which predict a qualitatively correct phase diagram and a change of the order of the transition from d=2 to d=3.

4 pages, 3 eps figures

Cited by in corpus (30)

• Stretching Semiflexible Polymer Chains: Evidence for the Importance of Excluded Volume Effects from Monte Carlo Simulation
• Pulling absorbing and collapsing polymers from a surface
• Elasticity of semiflexible polymers with and without self-interactions
• Collapse Transition of Two-Dimensional Flexible and Semiflexible Polymers
• Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation
• Does changing the pulling direction give better insight into biomolecules?
• Mechanical unfolding of directed polymers in a poor solvent: novel critical exponents
• Effects of Eye-phase in DNA unzipping
• Effects of Molecular Crowding on stretching of polymers in poor solvent
• Force induced conformational transition in a system of interacting stiff polymer: Application to unfolding
• Stretching an adsorbed polymer globule
• Mechanical unfolding of a homopolymer globule studied by self-consistent field modelling
• Statistical mechanics of RNA folding: a lattice approach
• Simulating the collapse transition of a two-dimensional semiflexible lattice polymer
• Force induced stretched state: Effects of temperature
• Epigenetic Transitions and Knotted Solitons in Stretched Chromatin
• Solvent-Induced Negative Energetic Elasticity in a Lattice Polymer Chain
• Pulling self-interacting polymers in two-dimensions
• Force induced unfolding of bio-polymers in a cellular environment: A model study
• Polymers in crowded environment under stretching force: globule-coil transitions
• Adsorption of Externally Stretched Two-Dimensional Flexible and Semi-flexible Polymers near an Attractive Wall
• Can re-entrance be observed in force induced transitions?
• Exact solution of two friendly walks above a sticky wall with single and double interactions
• Residual entropy in a model for the unfolding of single polymer chains
• The 3-dimensional random walk with applications to overstretched DNA and the protein titin
• Exact solution of the Zwanzig-Lauritzen model of Polymer Crystallization under Tension
• Theta-polymers in crowded media under the stretching force
• Exact solutions of directed walk models of polymeric zipping with pulling in two and three dimensions
• Confining multiple polymers between sticky walls: a directed walk model of two polymers
• Stretching self-interacting, partially directed, flexible and semi-flexible polymers by an external force