- traditional academic disciplines

- modern specializations and combinations
- characteristics of soft matter
- major topics
- theoretical methodologies
- experimental techniques

- van der Waals bond
- ionic bond
- metallic bond

- covalent bond
- hydrogen bond

- polar and non-polar molecules
- hydrophobic, hydrophilic, amphiphilic
attributes

- enthalpic and entropic effects

- elastic constants: shear modulus, bulk modulus, Young modulus [pln20]
- elastic energy of deformation [pln63]

- elasticity of hard and soft matter

- linear (elastic or viscous) response to shear stress [pln21]

- nonlinear viscous behavior (shear thinning/thickening,
Bingham fluid) [pln22]

- dimensionless parameters: Deborah, Weissenberg, Peclet
numbers [pln91] *

- probing viscoelasticity: stress relaxation, creep,
rotation, oscillation

- simple model of viscoelasticity [pln23]

*measuring viscosity and shear modulus*[pex16]

*Young modulus for generalized Lennard-Jones potential*[pex15] *

*Arrhenius behavior of viscosity of water*[pex17] *

- thermotropic versus lyotropic
- hierarchical (molecules versus molecular aggregates) [tsl50]

- orientational versus translational [tsl51]

- entropy driven
- polydispersity
- polymorphism

- characteristic attributes

- glass-forming systems

- relaxation time and viscosity (Vogel-Fulcher law)
- volume and entropy versus temperature
*glass transition in polystyrene*[pex18]*entropy from heat capacity of glass*[pex19] *

- Helmholtz and Gibbs free energies of solutions [pln26] *

- homogeneous state vs phase-separated state [pln27]

- osmotic pressure [pln28]

- chemical potential [pln29] *

- dilute solutions [pln30]

- two-phase coexistence [pln31]
- lattice mean-field model free-energy density [pln32]

- phase diagram of mixing-unmixing transition [psl4]

- stability - metastability - instability [pln33]
*osmotic pressure in two-component fluid system*[pex48]

*chemical potential in two-component system*[pex46]

*phase diagram of two-component fluid*[pex47]

*water solubility of hydrocarbon*[pex45]*osmotic weight lifting*[pex49]

- spinodal decomposition process [pln34]

- kinetics of spinodal decomposition [psl5]
*solution of linearized Cahn-Hilliard equation*[pex20]

- nucleation and growth of domains [pln35]

- Gibbs free energy near freezing/melting [pln36]

- homogeneous vs heterogeneous nucleation [pln37]

*catalytic freezing of spherical cap*[pex21]

- advancing font of solidification [pln38]

What are colloids? [pln3] *

- classification
- shapes and sizes
- sols, gels, clays, foams

- emulsions
- stability
- interactions
- agents of aggregation and dispersion

- historical importance, milestones [nln63]

- relevant time scales (collision, relaxation, observation)
[nln64]

- Einstein's theory [nln65]

- Smoluchowski equation [nln66]

- Einstein's fluctuation-dissipation relation [nln67]

- Langevin's theory (ballistic regime and diffusive regime) [nln71]
- particles with shapes [pln40]

Colloids versus grains

*colloidal regime on Earth**and in space*[pex22]

Interaction forces

- adhesive forces derived from van der Waals interactions [pln42]

*adhesive force between flat colloidal surfaces*[pex23]

*adhesive force between spherical colloids (Derjaguin approximation)*[pex24]

- electrostatic double-layer forces adjacent to ionized
colloidal surface

- Stern-layer of counter-ions
*diffuse layers of co-ions and counter ions*[pex25]

Electro-kinetic effects

- electrophoresis
- streaming current
- electro-osmosis
- zeta potential [psl8]

Charge stabilization

- repulsion between ionic double layers versus VDW
attraction [pln43]

*colloidal stability, flocculation, and coagulation*[pex26]

Steric stabilization [pln44]

- grafted polymer chains
- osmotic pressure [tln26]

- entropic pressure

- brush elasticity
- bridging flocculation
- regulation of flocculation/coagulation

Colloids with attractive coupling

- depletion interaction
*depletion interaction potential between spherical colloids*[pex27]

- ordering from weak short-range attraction
- ordering from strong short-range attraction
- crystallization of hard-sphere colloids
*spherical aggregates of colloids*[pex50]

Flow in dispersions at low and high concentrations

- variety -- structure -- architecture -- conformations [pln45] *

- polydispersity index
- biopolymers [pln41]

- rheology of viscoelastic polymers [psl7]

- extensional rheometry of polymers
- effectiveness of centrifugation [pln46]
- polymer solutions [pln47]

- polymer blends [pln48]

*phase separation in polymer solution*[pex51] *

*phase separation in polymer blend*[pex52]

*interface width in phase-separated polymer blend*[pex58]

- sources of entropy
- sources of enthalpy
- conformations: coil, globule, helix
- measures of polymer size

Freely jointed chain (FJC) [pln50]

- random walk

- force-extension characteristics

*FJC model: force-extension characteristics, entropy, and heat capacity*[pex53]

*discretized FJC model: force-extension characteristics*[pex54]

*discretized FJC model: entropy and heat capacity*[pex55]

- binomial, Poisson, and Gaussian distributions [nln8]

Persistence length and Kuhn segment length [pln51]

*persistence length of ideal polymer chain*[pex28]*Kuhn segment length of ideal polymer chain*[pex29]

*ideal polymer with fixed valence angle I: mean-square end-to-end distance*[pex30]

*ideal polymer chain with fixed valence angle II: persistence length and Kuhn segment length*[pex31]*ideal polymer chain: flexibility from rigid constraints*[pex32]

*polymer chain with energetically favored internal rotation angle*[pex33] [pex34]

Long-range self-interaction and interaction with solvent

- Flory argument
- good, poor, and theta solvents
- concentration regimes (dilute, semi-dilute, melt)
- criteria for polymer detection

Polymer viscoelasticity

- creep compliance and stress relaxation [pln52]

- linear response and superposition principle
- zero shear viscosity
*polymer creep compliance: linear response*[pex35]*polymer stress relaxation: linear response*[pex36]

- relaxation modulus of polymer melt [pln53]
- time regimes: glassy - rubbery - viscous
- characteristic dependences on degree of polymerization [psl9]

- semi-crystalline state [pln54]

- hierarchical structure (chain-folding, lamellae, spherulites) [psl10]
- lateral versus linear lamellar growth [pln55]

- criteria for lateral growth (minimum stem length,
temperature window)

- velocity of lateral growth
*conditions for fastest lateral growth*[pex37] *

- chemical gels [psl11]

- physical gels [psl12]
- rubber elasticity [pln64]
*elasticity of balloon during inflation*[pex60]

- polymer gel [pln65]

*polymer gel free-energy density of mixing*[pex14]*swelling equilibrium of polymer gel*[pex13] [pex12]

*polymer gel compressed uniaxially*[pex11]

- percolation threshold and gel fraction

*percolation on Bethe lattice*[pex38], [nex40]

Introduction [pln79]

- common liquid crystal phases [tsl51]

- birefringence of nematic phase [pln73]
- nematic ordering detected via polarized optical
microscopy [pex2]

- anisotropic flow behavior of nematics [pln83]

Phase transition between isotropic liquid and nematic
liquid-crystal phase

- Maier-Saupe theory for nematic ordering [pln74]

- orientation function
- agents of nematic ordering

- nematic order parameter
- enthalpy and entropy associated with orientational disorder
- nematic order parameter [pln80]

*attributes of nematic order parameter*[pex1]

*Maier-Saupe theory I: variational problem*[pex43]

*Maier-Saupe theory II: free energy, entropy, order parameter*[pex44]

*Maier-Saupe theory III: first-order phase transition*[pex5]

- lyotropic transition to nematic phase (Onsager theory simplified) [pln75]
- multicritical NAC point [pln81]

- stages of positional ordering [pln82]

Response to electric or magnetic field

Introduction [pln57]

- hydrophilic and hydrophobic ends
- headgroups: polar, anionic, cationic, zwitterionic
- hierarchical structures and phases [tsl50]

- configurational entropy of water (dynamic network of
H-bonds)

- hydrophobic interaction between polar and non-polar
molecules

- amphiphilic reduction of surface tension
- lipids [pln59]

- detergency [psl13]
- surface tension and interfacial tension [pln60]

- critical aggregation concentration
- aggregation of amphiphiles [psl14]
- packing parameters (geometric argument)

- normal versus inverse structures

*self-assembly as predicted by geometric argument)*[pex39]- critical micelle concentration (CMC)

*spherical micelles and CMC*[pex40]

*cylindrical micelles and CMC*[pex41]*critical aggregation of bilayers*[pex42]

*spherical aggregates of colloids*[pex50]- stability of shapes against thermal fluctuations
- hierarchical ordering at high concentrations [psl15]
- self-assembly in polymers [pln58]

- lamellar spacing in micro-phase-separated diblock polymer melt [pex59]

Introduction [pln61]

- examples: colloids, polymers, surfactants
- dissociation equilibrium: pK, pH
- control parameters: pH, salinity, electric field,...
- interaction between dissociated groups: Bjeruum length.

- charge neutrality condition
- Donnan equilibrium: effect of salinity [pln62]

*Donnan equilibrium between ionic polymer and solvent*[pex56]

- poly-electrolyte gel [pln66]
- charge density profile near interface [pln67]

*polyelectrolyte gel: double layer of charges at interface*[pex57]

*poly-electrolyte gel: profiles of ion densities*[pex10]

- Poisson-Boltzmann equation for profile of electric potential [pln68]
*electric potential near thin layer of bound charge*[pex9]

*electric potential near interface to poly-electrolyte gel*[pex8] [pex7]

- Solution of Poisson-Boltzmann equation via Fourier
Transform [pln69]

*Layer of bound charge of exponential profile and variable thickness*[pex6]- ion densities near charged surface [pln70]
- electric force between parallel plates [pln71] [pln72]
[pln78]

*electric potential between charged plates immersed in electrolyte*[pex4]*electric force between charged plates immersed in electrolyte*[pex3]

Fundamental equations of microfluidics

- mass flux [pln85] *

- momentum flux [pln86]
*

- energy flux [pln87] *

*divergence of stress tensor*[pex61] *

*scaled Navier-Stokes equation and the Reynolds number*[pex62] **viscous friction under simplified conditions*[pex63] *

Elementary fluid flow

- Mechanical equilibrium [pln90]
- Flow down incline [pln??]

Coil-helix transformation

- Zimm-Bragg model (coil pseudo-vacuum)

- Zimm-Bragg inside out (helix pseudo-vacuum)

- Zimm-Bragg generalized (coil segments with entropy)
- scenario with real transition

- structure of DNA [pln39] *

- DNA interaction with fluid medium [pln88] *

- DNA melting [pln89] *

- unzipping

Melting

Unzipping

Some conversion factors [psl6] *

- fermions [pln4] *

- bosons [pln5] *

- cargo, economy, business, first [pln6]
*

- semions (fractional statistics) [pln7]
*

- particles in orbitals of different energies [pln8] *

- distinguishable particles in shared orbitals (compacts) [pln9] *

- hosts and caps [pln10] *

- hosts, hybrids, and caps [pln11]
*

- hosts and tags [pln12] *

- hosts, hybrids, and tags [pln13]
*

- statistically interacting particles (generic case) [pln14] *

- configurational entropy [pln15]
*

- partition function [pln16] (2) *

- population density of single species [pln17]
*

- jammed granular matter
- DNA under tension and torque
- polymer mushrooms and brushes
- liquid crystal columnar phase
- protein coil and helix conformations
- colloidal density profile due to gravity or centrifuge

- colloidal depletion interaction

- R. A. L. Jones:
*Soft condensed matter*. Oxford University Press 2002. - I. W. Hamley:
*Introduction to soft matter*. Wiley, New York 2007. - M. Daoud and C. E. Williams
(Eds.):
*Soft matter physics*. Springer, New York 1999. - W. Hu and A.-C. Shi (Eds.):
*Understanding soft condensed matter via modeling and computation*. World Scientific, Singapore 2011. - A. V. Finkelstein and O.
P. Ptitsyn:
*Protein physics*. Academic Press, New York 2002. - M. Doi:
*Soft**matter phy**sics*. Oxford University Press 2013. - T. A. Witten:
*Structured fluids -- polymers, colloids, surfactants*. Oxford University Press 2004.

- P.
Nelson:
*Biological phys**ics*. Freeman, New York 2004. - A. Y. Grosberg and A. R. Khokhlov:
*Statistical**p**hysics of macromolecules*. AIP Press, New York 1994. - Henrik Bruus: Theoretical microfluidics. Oxford University Press 2008.
- L.S. Hirst:
*Fundamentals of soft matter science*. CRC Press, London 2013. - J. V. Selinger:
*Introduction to the theory of soft matter*. Springer, New York 2016. - M. Kleman and O. D. Lavrentovich:
*Soft matter physics*. Springer, New York 2003. - I. Teraoka:
*Polymer solutions**-- an introduction to physical properties*. Wiley Interscience, New York 2002. - Jan Kierfeld:
*Theorie weicher und biologischer Materie*. Lecture notes, Technische Universität Dortmund 2009.

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Last updated 05/14/19