TY - JOUR

T1 - Sign Switch of Gaussian Bending Modulus for Microemulsions

T2 - A Self-Consistent Field Analysis Exploring Scale Invariant Curvature Energies

AU - Varadharajan, Ramanathan

AU - Leermakers, Frans A.M.

PY - 2018/1/10

Y1 - 2018/1/10

N2 - Bending rigidities of tensionless balanced liquid-liquid interfaces as occurring in microemulsions are predicted using self-consistent field theory for molecularly inhomogeneous systems. Considering geometries with scale invariant curvature energies gives unambiguous bending rigidities for systems with fixed chemical potentials: the minimal surface Im3m cubic phase is used to find the Gaussian bending rigidity κ̄, and a torus with Willmore energy W=2π2 allows for direct evaluation of the mean bending modulus κ. Consistent with this, the spherical droplet gives access to 2κ+κ̄. We observe that κ̄ tends to be negative for strong segregation and positive for weak segregation, a finding which is instrumental for understanding phase transitions from a lamellar to a spongelike microemulsion. Invariably, κ remains positive and increases with increasing strength of segregation.

AB - Bending rigidities of tensionless balanced liquid-liquid interfaces as occurring in microemulsions are predicted using self-consistent field theory for molecularly inhomogeneous systems. Considering geometries with scale invariant curvature energies gives unambiguous bending rigidities for systems with fixed chemical potentials: the minimal surface Im3m cubic phase is used to find the Gaussian bending rigidity κ̄, and a torus with Willmore energy W=2π2 allows for direct evaluation of the mean bending modulus κ. Consistent with this, the spherical droplet gives access to 2κ+κ̄. We observe that κ̄ tends to be negative for strong segregation and positive for weak segregation, a finding which is instrumental for understanding phase transitions from a lamellar to a spongelike microemulsion. Invariably, κ remains positive and increases with increasing strength of segregation.

U2 - 10.1103/PhysRevLett.120.028003

DO - 10.1103/PhysRevLett.120.028003

M3 - Article

AN - SCOPUS:85040454706

SN - 0031-9007

VL - 120

JO - Physical Review Letters

JF - Physical Review Letters

IS - 2

M1 - 028003

ER -