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Polymer Chemistry 2018 Polymer Sciences
ISSN: 2471-9935 Page 37
March 26-28, 2018
Vienna, Austria
3rd Edition of International Conference and Exhibition on
Polymer Chemistry
Nucleation is one of the basic processes involved in
phase transitions like crystallization, describing the first
occurrence of entities able to grow. For a better understanding
of this process, which usually starts at a nanoscopic scale, one
has to introduce novel thermodynamic properties in terms of
the only four basic geometrical characteristics in a two-phase
system. These are the four so-called Minkowski functionals,
which are: volume, interfacial area, mean curvature integral
over the interfacial area and the Euler-Poincaré characteristics.
The latter two quantities, although introduced already in the
early 19th century, have been mainly ignored so far in natural
and technical sciences. The simple assumption of linear
coefficients for the work differential in terms of the differential
change of the four Minkowski functionals leads (in addition
to pressure and interfacial energy) to two novel energetic
properties: edge force and item energy. They dominate the
behaviour at structural scales in the nm range. For example, the
classical Young-Laplace equation stating the proportionality
of the pressure jump across an interface and the mean
curvature of the interface (with twice the interfacial tension as
proportionality constant) has to be extended by a second term
proportional to the Gaussian curvature of the interface with
the edge force as proportionality constant. As a consequence,
one has in polymer melts already at temperatures above the
thermodynamic melting temperature stable clusters which,
however, are unable to grow. At quick cooling one finds a simple
relationship for the well-known temperature of homogenous
nucleation in terms of the edge force.
Recent Publications:
1. G Eder and H Janeschitz Kriegl (1997) Structure
development during processing: crystallization In Materials
Science and Technology. Wiley VCH. 18:269-342.
2. H Janeschitz Kriegl, G Eder, M Stadlbauer and E Ratajski
(2005) A thermodynamic frame for the kinetics of
polymer crystallization under processing conditions.
Chem. Monthly. 136(7):1119-1137.
3. P Hierzenberger, E Leiss Holzinger, B Heise, D Stifter and G
Eder (2014) In-Situ Optical coherence tomography for the
time-resolved investigation of crystallization processes in
polymers. Macromolecules. 47(6):2072-2079.
4. G Eder (2018) The role of Minkowski functionals in the
thermodynamics of two-phase systems. AIP Advances.
8(1). Doi:10.1063/1.5017592.
Biography
Gerhard Eder is a Professor at the Institute of Polymer Science, Johannes
Kepler University Linz, Austria. He got Diploma in Mathematics and Phys-
ics in 1982 and 1983 and finished his PhD in 1989 with a thesis on rheol-
ogy of polymer melts. In 1989/90 he was Research Scientist at the Philips
Natuurkundig Laboratorium in Eindhoven, Netherlands. Since 1997 he is an
Associate Professor at Johannes Kepler University. In 2002, he was Visiting
Professor in Yamagata University, Japan. He gave more than 20 invited lec-
tures at international conferences. In 2013 he received the Hermann Mark
Medal for his work on polymer characterization. His research interests are
focused on structure development of polymers under extreme conditions
as present in usual processing, a field which is situated between and strong-
ly interacting with the classical transport phenomena: heat transfer, flow dy-
namics and mass diffusion. During the last few years his interest widened
towards thermodynamics of phase transitions and kinetic modelling.
Novel thermodynamic concepts for nucleation processes
Gerhard Eder
Johannes Kepler University, Austria
Gerhard Eder, Polym Sci, Volume 4
DOI: 10.4172/2471-9935-C1-008