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Entropy of Charge Inversion in DNA including One-Loop Fluctuations.

Matthew D Sievert1, Marilyn F Bishop2, Tom McMullen2

  • 1Department of Physics, New Mexico State University, Las Cruces, NM 88003-8001, USA.

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Summary
This summary is machine-generated.

Fluctuations in polyelectrolyte models significantly reduce entropy, even below non-interacting levels. This finding impacts understanding DNA charge condensation in solutions.

Keywords:
DNAbiomoleculescharge inversioncorrelationsentropyfield theoryfluctuationsone-loop orderpolyelectrolyte

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Area of Science:

  • Biophysics
  • Physical Chemistry
  • Computational Biology

Background:

  • DNA in charged solutions exhibits complex behavior like charge inversion and condensation.
  • Polyelectrolytes play a crucial role in these observed phenomena.
  • Understanding these interactions requires advanced theoretical models.

Purpose of the Study:

  • To calculate entropy and charge distributions for polyelectrolytes on DNA.
  • To investigate the impact of fluctuations beyond mean-field theory.
  • To model polyelectrolyte adsorption using a lattice gas approach.

Main Methods:

  • Field-theoretic method incorporating one-loop order fluctuations.
  • Lattice gas model for doubly charged polyelectrolyte dimers.
  • Calculation of entropy and charge distributions.

Main Results:

  • Fluctuation terms decreased entropy by approximately 50% in the weak-binding regime.
  • Repulsion between dimers and DNA competed with chemical potential.
  • Entropy reduction due to correlations significantly lowered total entropy.

Conclusions:

  • Fluctuations play a critical role in polyelectrolyte-DNA interactions.
  • The model provides insights into entropy changes driven by correlations.
  • The methodology can be extended to more complex, realistic models.