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Area of Science:

  • Polymer Science
  • Soft Matter Physics
  • Materials Science

Background:

  • Main-chain polymer nematics exhibit coupled positional and orientational order.
  • Conservation laws and continuity equations govern these systems.
  • Existing models often simplify the relationship between different forms of these equations.

Purpose of the Study:

  • To investigate the implications of conservation laws in polymer nematics.
  • To analyze the relationship between vectorial and tensorial forms of continuity equations.
  • To elucidate the role of chain backfolding in these relationships.

Main Methods:

  • Theoretical analysis of conservation laws and continuity equations.
  • Investigation of the coupling between positional and orientational order.
  • Formulation of effective free energy with penalty potentials.

Main Results:

  • Vectorial and tensorial forms of continuity equations are generally not equivalent nor disjoint.
  • Chain backfolding critically influences the relative strength and importance of these equations.
  • A unified penalty potential connecting both forms is necessary for conservation laws.

Conclusions:

  • The connectivity of polymer chains has nontrivial consequences for mesoscopic descriptions.
  • Proper implementation of these conservation laws is crucial for consistent coarse-grained models of polymer nematics.