Theory of Soft and Biomatter
Ulrich Schwarz and Jan Kierfeld
Contents

US + JK, 16.10.: Introduction and Overview
interdisciplinary research, definition of soft matter, role of thermal
fluctuations and structure for soft and biomatter, examples from own research

JK, 23.10.: Thermodynamics and statistical mechanics
equilibrium, state variables, energy and entropy, the laws of thermodynamics,
ensembles, Boltzmann factor, partition sum, fluctuationdissipation theorem,
thermodynamic limit, entropy as disorder

US, 30.10.: Models for dilute systems
partition function for ideal gas, equations of state for ideal gas, application
of ideal gas law to biology, virial expansion, second virial coefficient

JK, 6.11.: Phase transitions I
van der Waals fluid, LennardJones systems, hard spheres, first and second
order phase transitions

JK, 13.11.: Phase transitions II
Ising model, mean field theory, critical phenomena, renormalization group,
GinzburgLandau theory, liquid crystals, amphiphilic systems, Gibbs phase
rule

US, 20.11.: Molecular and colloidal interactions
Van der Waals interaction, electrostatic interaction,
PoissonBoltzmann theory,
strong coupling limit, DebyeHückel theory, DLVO theory,
depletion interaction, hydrophilic and hydrophobic interactions,
hydrophobic effect

US, 27.11.: Interfaces
surface tension from
GinzburgLandau model, introduction to differential geometry, surfaces
of constant mean curvature, minimal surfaces, capillary waves,
RayleighPlateau instability

US, 4.12.: Membranes
three deformation modes for thin shells, curvature energy for membranes,
role of topology, Monge representation, thermal fluctuations, Helfrich
interaction, vesicles, membrane shapes

JK, 11.12.: Polymers I
synthetic and biopolymers, ideal chain,
freely jointed and freely rotating chains, selfavoiding chain,
FloryHuggins theory for interacting chains

JK, 18.12.: Adsorption and wetting
physiosorption and chemisorption, Langmuir and BET isotherms,
polymer adsorption,
Young and Laplace equations, wetting transitions

US, 8.1.: Elasticity of soft material
strain and stress tensors, Hooke's law, Young modulus and Poisson ratio,
contact mechanics, Hertz model, JKRtheory, viscoelasticity and plasticity

US, 15.1.: Hydrodynamics
viscosity, Newtonian fluids, NavierStokes equation, Euler and Stokes flow,
shear and Poiseuille flow, Stokes drag, life at low Reynoldsnumber

JK, 22.1.: Dynamics in a fluctuating environment
diffusion
versus directed transport, random walks, Langevin equation,
fluctuationdissipation theorem, FokkerPlanck and Smoluchowski
equations

JK, 29.1.: Polymers II
semiflexible polymers, polyelectrolytes, polymer gels

US, 5.2.: Soft matter in cell biology
basic physical scales in cell biology, molecular transport
(diffusion, directed transport by
molecular motors, reaction kinetics), proteins as machines,
membrane rafts and fusion,
mechanical properties of cells
Literature

P. Atkins, Physical chemistry,
7th ed., Oxford University Press, 2002
 H.E. Callen,
Thermodynamics and an introduction to thermostatistics,
Wiley, NY
 D. Chandler, Introduction to modern statistical
mechanics,
Oxford University Press, NY
 P.M. Chaikin and T.C. Lubensky,
Principles of condensed matter physics ,
Cambridge University Press, Cambridge
 S.A. Safran, Statistical thermodynamics of surfaces,
interfaces, and membranes ,
AddisonWesley, Reading
 D.F. Evans and H. Wennerström,
The colloidal domain: where physics,
chemistry, and biology meet , 2nd edition, Wiley 1998

C. Holm et al., Eds.,
Electrostatic effects in soft matter and biophysics,
Les Houches Summer School 2000, Kluwer 2001

R. Lipowsky and E. Sackmann, Eds.,
Structure and Dynamics of Membranes,
Elsevier, Amsterdam
 P.G. de Gennes, Scaling concepts in polymer physics,
Cornell University Press, Cornell
 M. Doi and S.F. Edwards,
The theory of polymer dynamics,
Clarendon Press, Oxford
Last modified 28052007 by Jan Kierfeld