Chapter 15: Simulation of Soft-Matter Systems Flashcards

1
Q

Examples of Soft-Matter

A

proteins, membranes, polymers, colloids, liquid crystals

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2
Q

Polymer Model Goals

A

measure diffusion or other thermodynamic observables in corase-grained models

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3
Q

End-to-End Distance and Radius of Gyration

A
  • End-to-End Distance:
    • gives information about spatial extension of polymer
  • Radius of Gyration:
    • gives information about density (i.e. how curled-up is the polymer)
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4
Q

Ideal Chain Polymer

A
  • no long-range interaction (i.e. freely jointed chain)
  • random walk model
  • nearest-neighbor interactions only
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5
Q

Types of Solvent

A

statistics of polymer depend on the solubility of polymer in solvent

  1. Θ-Solvent
  2. Good Solvent
  3. Poor Solvent
  4. FENE Model
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6
Q

Θ-Solvent

A
  • implicit solvent
  • ideal chain model
  • harmonic potential
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7
Q

Good Solvent

A
  • monomers have size → excluded volume interactions
    • from WCA potential
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8
Q

Poor Solvent

A
  • LJ interaction
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9
Q

FENE Model

A
  • finitely extensible non-linear elastic model
  • uses non-linear springs
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10
Q

Flory Exponent

A

characterizes the scaling of radius of gyration

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11
Q

Flory Exponent for Solvent Types

A
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12
Q

Lattice Models

A

model polymers on a lattice

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13
Q

Polyelectrolyte

A

charged polymer with fractional charges

  • include Coulomb interactions
  • can write in terms of Bjerrum length
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14
Q

Bjerrum Length

A

separation distance needed such that VCoul = kT

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15
Q

Polyelectrolyte T=0 Groundstate and Flory Exponent

A
  • chain
  • ν = 1
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16
Q

Blob Theory

A
  • coarse-graining of polymers into megapolymer blobs
  • inside blob, physics is that of neutral polymer
  • at large length, polymer behaves like blob
  • ν = 1