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 YNAMICS 5
Lgev euto dv dt ζ v p [ ] u δ ; t V E f d 6
7 Cotuty euto E p k V k k E d t t t E J J J J J β δ δ δ δ ' '; Fk s ppoxto ; e
Modfed Fk s ppoxto We pss to by wtg d by tkg. sted of 8
9 Geelzed Lgev euto t t dt t t dt t t t dt d f F E E v v v ' ' ' ' ' ζ ζ
Popetes of teest ; dt t T k B L S ζ ζ ζ ζ ; dt t ζ ζ µ Log-te self-dffuso oeffet: Eletopoet oblty:
Popetes of teest ot. d ~ / 6 π ζ ζ d ~ 6 π
MOEL SYSTEM AN STRUCTURE
3 Ptve odel PM: Oe-opoet odel OCM: < fo fo u ε 4 fo e e fo B T k u < ε π κ κ ε κ κ
4 Te stutue of outeos d slt os s obted fo OZ te PM d ebye-hükel ppoxto H It esults ; '; ' ' k d k V k p k k. ; ε β Θ ; e e e κ κ κ ε β κ ε β
Te stutue of optles s obted fo OZ ' ' d' te OCM ypeetted HNC V exp[ βu γ ] γ d Roges-Youg ppoxtos RY exp[ γ f ] exp[ βu ] γ f f exp[ α ]; α s obted by dedg χ RY RY PY fo α HNC fo α s well s fo opute sultos. T χ T v 5
6 EUILIBRIUM YNAMIC PROPERTIES SELF-IFFUSION COEFFICIENT [ ] / 3 / ~ π κ κ ε π B L S T k K K d
7 ELECTROLYTE EFFECTS / L S K 78. 3K..8 e Stokes Cl Stokes N ε T
8 STRUCTURE EFFECTS / ~ L S K d π 78. 3K..8 e Stokes Cl Stokes N ε T
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
ELECTROLYTE EFFECTS E V V V V E E E E E V E 3 / K K µ µ
Te oblty ot be veted s f s oly syet slt s dded to te syste. µ µ K / L S 3 y 3 Stokes N Stokes Cl T 3K ε 78. e.8.
By ddg syet slt te ossove to te olous ego be eed two tes. Te veted oblty s t lest two odes of gtude slle t te ol oblty. e e Stokes Mg Stokes Cl T 3K ε 78..347.
3 STRUCTURE EFFECTS E V E V E 3 / ~ ~ 6 K d K d π π µ µ
Te u of te oblty oves s futo of slt otet wt esg oo oetto. e ; T 3K; ε 78. Stokes Stokes.8;. N Cl ϕ 3 κ M. eggel T. Plbeg M. Hgebüle E. E. Me 4 R. Kuse C. Gf y R. Webe J. Collod Itefe S. 43 38 99.
Te oblty eses s te logt of te oetto of oos. Stokes Cl ε 78. T 3K Stokes N e.8. s 6 M M. Eves N. Gbow. Hessge y T. Plbeg Pys. Rev. E 57 6774 998. 5
6 Te oblty stutes wt te oos oetto. Its stuto vlue s two tes te fee ptle oblty. ~ ~ 6 d d π π µ µ >> 3 / ~ 6 K K d α α α α α α α π M. Eves N. Gbow. Hessge y T. Plbeg Pys. Rev. E 57 6774 998. 6 M s
SOME CONCLUSIONS Te eletopoet oblty µ stutued ollodl suspesos s outed fo by exteso of te geelzed Lgev euto fols to o-eulbu sttoy poesses w s ble to ptue te oetto d eletolyte effets t te se level of despto. Te eletopoet oblty of oly oe oo s ot veted we te eletolyte s foed by syet slt. Wt syet slt te veso s possble depedg o te ge of te oo d o ts sze. By esg ϕ te veted bell gvg µ s futo of s beoes syet d ts u oves to lge vlues of s. Its ew posto s ougly gve by s [ oles/d 3 ] ϕ. It does ot deped o te ge of te oos. Fo teedte oettos we expet esg bevo of µ s futo of ϕ gog fo µ to µ s l ϕ. Fo gly stutued systes we get µµ ; te tspot veloty beoes extly two tes te tspot veloty dlute syste d ts sees to be uvesl bevo! 7
SOME REFERENCES Effetve teto potetls:. M. Med-Noyol d. A. Mue J. Ce. Pys. 73 679 98.. P. Gozález-Mozuelos d M.. Cbl-Too J. Ce. Pys. 9 74 998. 3. J. M. Médez-Alz d R. Kle Pys. Rev. E 6 495. Stutue lultos:. J. M. Médez-Alz B. Aguo d R. Kle Lgu 8 93 99.. J. M. Médez-Alz M. Cávez-Páez B. Aguo d R. Kle Pys A 73 995. Self-dffuso:. M. Med-Noyol Fdy suss. Ce. So. 83 987.. A. Vz-Redó M. Med-Noyol H. Ruz-Estd d J. L. Auz-L Rev. Mex. Fís. 35 57 989. 3. J. M. Médez-Alz d O. Aló.Wess Pys A 68 75 999. Moblty:. O. Aló-Wess d R. M. Velso J. Ce. Pys. 5 994.. M. Lozd-Cssou d E. Gozález-Tov J. Collod Itefe S. 39 85. 3. J. M. Médez-Alz d O. Aló-Wess evelopets Mtetl d Expeetl Pyss Volue B: Sttstl Pyss d Beyod Kluwe Ade/Pleu Publses 3 45-56. 8