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Area of Science:

  • Polymer Physics
  • Soft Matter Physics

Background:

  • Charged polymers with disordered sequences often form partially globular structures.
  • These structures arise from the interplay of sequence disorder and thermal fluctuations.
  • Homogeneous globules (equal size and charge) are energetically unfavorable.

Purpose of the Study:

  • To predict the most stable globule distributions in size-charge space for charged polymers.
  • To investigate the emergence of order in quenched random charge sequences.
  • To validate theoretical energy models with simulation data.

Main Methods:

  • Theoretical prediction of low-energy globule distributions.
  • Large-scale molecular dynamics simulations of quenched random +/- sequences.
  • Analysis of globule size and charge distributions.

Main Results:

  • Favorable structures consist of a mix of large (undercharged) and small (overcharged) globules.
  • Simulations confirm that random sequences adopt these predicted low-energy states.
  • Emergent order is observed in the distribution of globule sizes, validating the energy model.

Conclusions:

  • Charged polymers exhibit an emergent order in their globular structures, favoring specific size-charge distributions.
  • The theoretical energy model accurately predicts the structures observed in molecular dynamics simulations.
  • Findings have implications for understanding polyampholytes, polyelectrolytes, and intrinsically disordered proteins.