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Volumn 129, Issue 6, 2008, Pages

Polarization and interactions of colloidal particles in ac electric fields

Author keywords

[No Author keywords available]

Indexed keywords

AC ELECTRIC FIELDS; AC FIELDS; ALTERNATING CURRENT; BULK SOLUTIONS; COLLOIDAL PARTICLES; DIFFUSIVITY; DOUBLE-LAYER POLARIZATION; FIELD FREQUENCY; FREQUENCY DEPENDENCES; INDUCED DIPOLES; LANGMUIR; OPTICAL-; ORDER-DISORDER TRANSITION; PAIR INTERACTIONS; PARTICLE RADIUS; POINT DIPOLE MODEL; POLYSTYRENE PARTICLES; RELAXATION FREQUENCIES; REPORT MEASUREMENTS; TWO-DIMENSIONAL CRYSTALS;

EID: 49749095114     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2969103     Document Type: Article
Times cited : (107)

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    • The order-disorder transition parameter scales as λ ∼ E2 C2 a3. The critical frequency ωCD dictates the particle size dependence of the polarizability, and thus, assuming a power-law dependence on frequency gives C∼ (ω/ ωCD) -n. Substituting this power-law scaling, we obtain, λ ∼ E2 [(ω/ ωCD) -n] 2 a3 ∼ E2 a-4n+3. Analyzing the data of Lumsdon (Ref.) we find that n≈0.22. This leads to λ ∼ E2 a2.1, in close agreement with the previously observed scaling of λ ∼ (Ea) 2. The apparent particle size dependence can be understood as an interplay between the functional form of C (in a narrow range of frequencies) and a shift relative to the critical frequency ωCD.
    • The order-disorder transition parameter scales as λ ∼ E2 C2 a3. The critical frequency ωCD dictates the particle size dependence of the polarizability, and thus, assuming a power-law dependence on frequency gives C∼ (ω/ ωCD) -n. Substituting this power-law scaling, we obtain, λ ∼ E2 [(ω/ ωCD) -n] 2 a3 ∼ E2 a-4n+3. Analyzing the data of Lumsdon, (Ref.) we find that n≈0.22. This leads to λ ∼ E2 a2.1, in close agreement with the previously observed scaling of λ ∼ (Ea) 2. The apparent particle size dependence can be understood as an interplay between the functional form of C (in a narrow range of frequencies) and a shift relative to the critical frequency ωCD.


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