ELECTROPHORESIS IN STRUCTURED COLLOIDS

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1 ELECTROPHORESIS IN STRUCTURE COLLOIS José M. Médez A. Civesv p://

2 V µ E; µ 6πη

3 ε ζ ; i i ζ i i 3

4 ε ζ ζ 4

5 THE GENERATION OF ONE PARTICLE EFFECTIVE YNAMICS 5

6 6 Lgevi euio [ ] ρ ζ ; f E v v d d u N d d N V V

7 7 Soluowski euio [ ] [ ] γ γ γ γ γ γ ρ ρ ρ ρ ρ ρ ρ ρ ρ E E d u d u u u p V p V

8 8 Geelized Lgevi euio ζ ζ f F E E v v v d d d d ' ' ' ' '

9 9 Popeies of iees ; d T k B L S ζ ζ ζ ζ ; d ζ ζ µ Log-ie self-diffusio oeffiie: Eleopoei obiliy:

10 Modified Fik's ppoxiio [ ] ; ; e δ ρ ' ' '; e e e E γ γ γ δ δ δ δ d p V

11 Modified Fik s ppoxiio d ~ / 6 π ζ ζ d ~ 6 π

12 MOEL SYSTEM AN STRUCTURE

13 3 Piiive odel PM: Oe-opoe odel OCM: < fo fo u ε 4 fo e e fo κ κ ε π κ κ ε T k u B <

14 4 Te suue of oueios d sl ios is obied fo OZ i e PM d ebye-hükel ppoxiio H I esuls i ; '; ' ' d V p γ γ γ γ. ; ε Θ ; e e e ε κ ε κ κ κ

15 Te suue of opiles is obied fo OZ ' ' d' i e OCM ypeeed i HNC V exp[ u γ ] γ d Roges-Youg ppoxiios RY exp[ γ f ] exp[ u ] γ f f exp[ ]; is obied by dedig χ RY RY PY fo HNC fo s well s fo opue siulios. T χ T v 5

16 6 EUILIBRIUM YNAMIC PROPERTIES SELF-IFFUSION COEFFICIENT [ ] / 3 / ~ π κ κ ε π B L S T k K K d

17 7 ELECTROLYTE EFFECTS / K L S 78. 3K..8 e Sokes Cl Sokes N ε T

18 8 STRUCTURE EFFECTS / ~ L S K d π 78. 3K..8 e Sokes Cl Sokes N ε T

19 9 NON-EUILIBRIUM YNAMIC PROPERTIES ELECTROPHORETIC MOBILITY [ ] 3 / 3 / ~ ~ 6 π κ κ ε π π µ µ B T k K K d K d

20 ELECTROLYTE EFFECTS E V V V V E E E E E V E 3 / µ µ K K

21 Te obiliy o be iveed s f s oly syei sl is dded o e syse. 3 3 y L S K / µ µ 78. 3K..8 e Sokes Cl Sokes N ε T

22 By ddig syei sl e ossove o e olous egio be eed wo ies. Te iveed obiliy is les wo odes of giude slle e ol obiliy. e e Sokes Mg Sokes Cl T 3K ε

23 3 STRUCTURE EFFECTS E V E V E 3 / ~ ~ 6 K d K d π π µ µ

24 Te iiu of e obiliy oves s fuio of sl oe wi iesig oio oeio. e ; T 3K; ε 78. Sokes Sokes.8;. N Cl ϕ 3 κ M. eggel T. Plbeg M. Hgebüle E. E. Mie 4 R. Kuse C. Gf y R. Webe J. Colloid Iefe Si

25 Te obiliy ieses s e logi of e oeio of oios. Sokes Cl ε 78. T 3K Sokes N e.8. s 6 M M. Eves N. Gbow. Hessige y T. Plbeg Pys. Rev. E

26 6 Te obiliy sues wi e oios oeio. Is suio vlue is wo ies e fee pile obiliy. ~ ~ 6 d d π π µ µ >> 3 / ~ 6 K K d π M. Eves N. Gbow. Hessige y T. Plbeg Pys. Rev. E M s

27 SOME CONCLUSIONS Te eleopoei obiliy µ i suued olloidl suspesios is oued fo by exesio of e geelized Lgevi euio folis o o-euilibiu sioy poesses wi is ble o pue e oeio d eleolye effes e se level of desipio. Te eleopoei obiliy of oly oe oio is o iveed we e eleolye is foed by syei sl. Wi syei sl e ivesio is possible depedig o e ge of e oio d o is size. By iesig ϕ e iveed bell givig µ s fuio of s beoes syei d is iiu oves o lge vlues of s. Is ew posiio is ougly give by s [i oles/d 3 ] ϕ. I does o deped o e ge of e oios. Fo ieedie oeios we expe iesig bevio of µ s fuio of ϕ goig fo µ o µ s l ϕ. Fo igly suued syses we ge µµ ; e spo veloiy beoes exly wo ies e spo veloiy i dilue syse d is sees o be uivesl bevio! 7

28 SOME REFERENCES Effeive ieio poeils:. M. Medi-Noyol d. A. Muie J. Ce. Pys P. Gozález-Mozuelos d M.. Cbjl-Tioo J. Ce. Pys J. M. Médez-Alz d R. Klei Pys. Rev. E Suue lulios:. J. M. Médez-Alz B. Aguo d R. Klei Lgui J. M. Médez-Alz M. Cávez-Páez B. Aguo d R. Klei Pysi A Self-diffusio:. M. Medi-Noyol Fdy isuss. Ce. So A. Viz-Redó M. Medi-Noyol H. Ruiz-Esd d J. L. Auz-L Rev. Mex. Fís J. M. Médez-Alz d O. Aló.Wess Pysi A Mobiliy:. O. Aló-Wess d R. M. Velso J. Ce. Pys M. Lozd-Cssou d E. Gozález-Tov J. Colloid Iefe Si J. M. Médez-Alz d O. Aló-Wess i evelopes i Meil d Expeiel Pysis Volue B: Sisil Pysis d Beyod Kluwe Adei/Pleu Publises

ELECTROPHORESIS IN STRUCTURED COLLOIDS

ELECTROPHORESIS IN STRUCTURED COLLOIDS ELKIN 4 ELECTROPHORESIS IN STRUCTURE COLLOIS José M. Médez A. Cvestv Mexo I ollboto wt O. Aló-Wess ULA d J. J. Beel-Mstett Cvestv. V µ E; µ 6πη ε ζ ; ζ 3 ε ζ ζ 4 THE GENERATION OF ONE PARTICLE EFFECTIVE