1. Some ideas for the project
DNA globule formation with attractive nanoparticles – chromatin conformation
Entropy as the driver of chromosome segregation
Suckjoon Jun1 & Andrew Wright2
Nature Microbiology, 2010

2. Micelle formation by amphiphilic molecules with coarse-grained Lennard-Jones potentials.

3. r Two particles in a polymer solution : Applicable for
Measuring the entropically-induced potentials between two colloids.
Two particles in a polymer solution :
depletion layer
exclusion zone
Polymer approximated as “phantom spheres”
Applicable for
Rg/R << 1
cp/cp* << 1
Ideal Solvent
2Rg
Asakura & Oosawa, J Polymer Science Vol 33, p. 183 (1958)
Verma, Crocker, Yodh, Phys Rev Lett, , 1998.
Entropy-driven interparticle attraction
Approximations not valid for non-dilute mixtures or Rg ~ R D
D+2Rg r

4. Stability of colloids with DLVO interactions
𝐸 𝑖𝑗 = 𝑖,𝑗 𝑞 𝑖 𝑞 𝑗 𝑟 𝑖𝑗 𝑒 −𝜅𝑟 + 𝜖 𝜎 𝑟 𝑖𝑗 − 𝜎 𝑟 𝑖𝑗 6
Model the stability of colloidal suspension with Lennard-Jones interactions and electrostatic interactions. With fixed Lennard-Jones parameters (A,B), how does the suspension stability depend on the electrostatic screening length (Debyle length) k-1?