- Page 1 and 2: 3rd Warsaw School of Statictical Ph
- Page 3: 1) Density functional theory of fre
- Page 7 and 8: Maxwell-double tangent construction
- Page 9 and 10: 1.4) Phase diagrams of simple poten
- Page 11 and 12: ) plasma (with neutralizing backgro
- Page 13 and 14: e) Lennard-Jones-system phase p dia
- Page 15 and 16: g) ultrasoft interactions repulsive
- Page 17 and 18: exceptions: i) ) soft potentials p
- Page 19 and 20: contour plot of
- Page 21 and 22: approximations on different levels
- Page 23 and 24: 3) Ramakrishnan-Youssuf (RY) 1979 i
- Page 25 and 26: 5) Rosenfeld functional (for hard s
- Page 27 and 28: advantages - excludes overlapping h
- Page 29 and 30: 2) Brownian Dynamics and dynamical
- Page 31 and 32: Thi This is i valid lid for f ffree
- Page 33 and 34: Smoluchowski equation Diffusion in
- Page 35 and 36: linear relation between and One can
- Page 37 and 38: Langevin-picture Smoluchowski-pictu
- Page 39 and 40: with hydrodynamic interactions(HI.)
- Page 41 and 42: integration yields 2-particle densi
- Page 44 and 45: 3) in equilibrium, necessarily
- Page 46 and 47: in equilibrium, DFT says: apply com
- Page 48 and 49: colloidal particles colloidal dispe
- Page 50 and 51: The road map of complexity H. Löwe
- Page 52 and 53: particle p configurations g for dif
- Page 54 and 55:
DDFT, , equilibrium q functional by
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imposed nucleation seed cut-out of
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no nucleation 0 φ= 60 Aρ = 0.6
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Two stage process: - sub-Brownian t
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2.3) Hydrodynamic interactions How
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2) Rotne-Prager-tensor with 3) high
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Rotne-Prager expression ( r ) = 0 v
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Application: colloids in an oscilla
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stroboscopic view t i /t B = 2.5, 2
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3) Density functional theory for ro
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density of center-of-masses: orient
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(2) nematic phase positions iti are
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three eigenvalues with largest eige
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(5) columnar phase: (6) plastic cry
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3.2) Simple models hard objects A)
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C) Density functional theory There
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3.3) Brownian dynamics of rod-like
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“adiabatic“ approximation: assu
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Model Gaussian segment-segment segm
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full density orientationally averag
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σ 3 ρ(z) 10 8 set-up A DDFT (soli
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expansion compression transient par
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mm (t) ( 2 7.5 5 2.5 0 -2.5 -5 m 2
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From „passive“ to „active“
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L. Baraban, private communication m