Microgel particles are highly tuneable materials that are useful for a wide range of industrial applications, such as drug delivery, sensing, nanoactuation, emulsion stabilisation and use as cell substrates. Microgels have also been used as model systems investigating physical phenomena such as crystallization, glass-formation, jamming, ageing and complex flow behaviour. The responsiveness of microgel systems such as poly(N-isopropylacrylamide) (PNIPAm) to external stimuli has been established in fundamental investigations and in applications and recent work has begun to quantify the mechanics of individual particles. However little focus has been placed on determining their internal mechanical properties, which is likely to relate to their nonuniform internal structure. In this work we combine atomic force microscopy, force spectroscopy and dynamic light scattering to mechanically profile the internal structure of microgel particles in the size range of ∼100 nm, which is commonly used both in practical applications and in fundamental studies. Nanoindentation using thermally stable cantilevers allows us to determine the particle moduli and the deformation profiles during particle compression with increasing force, while peak force nanomechanical mapping (PF-QNM) AFM is used to capture high resolution images of the particles’ mechanical response. Combining these approaches with dynamic light scattering allows a quantitative profile of the particles’ internal elastic response to be determined. Our results provide clear evidence for a radial distribution in particle mechanical response with a softer outer “corona” and a stiffer particle core. We determine the particle moduli in the core and corona, using different force microscopy approaches, and find them to vary systematically both in the core (∼17–50 kPa) and at the outer periphery of the particles (∼3–40 kPa). Importantly, we find that highly crosslinked particles have equivalent moduli across their radial profile, reflecting their significantly lower radial heterogeneity. This ability to accurately and precisely probe microgel radial profiles has clear implications both for fundamental science and for industrial applications.
One of the major problems in the modeling and inversion of marine controlled-source electromagnetic (CSEM) data is related to the need for accurate representation of very complex geoelectrical models typical for marine environment. At the same time, the corresponding forward-modeling algorithms should be powerful and fast enough to be suitable for repeated use in hundreds of iterations of the inversion and for multiple transmitter/receiver positions. To this end, we have developed a novel 3D modeling and inversion approach, which combines the advantages of the finite-difference (FD) and integral-equation (IE) methods. In the framework of this approach, we have solved Maxwell’s equations for anomalous electric fields using the FD approximation on a staggered grid. Once the unknown electric fields in the computation domain of the FD method are computed, the electric and magnetic fields at the receivers are calculated using the IE method with the corresponding Green’s tensor for the background conductivity model. This approach makes it possible to compute the fields at the receivers accurately without the need of very fine FD discretization in the vicinity of the receivers and sources and without the need for numerical differentiation and interpolation. We have also developed an algorithm for 3D inversion based on the hybrid FD-IE method. In the case of the marine CSEM problem with multiple transmitters and receivers, the forward modeling and the Fréchet derivative calculations are very time consuming and require using large memory to store the intermediate results. To overcome those problems, we have applied the moving sensitivity domain approach to our inversion. A case study for the 3D inversion of towed streamer EM data collected by PGS over the Troll field in the North Sea demonstrated the effectiveness of the developed hybrid method.
The glass transition is a long-standing unsolved problem in materials science. For polymers, our understanding of glass formation is particularly poor because of the added complexity of chain connectivity and flexibility; structural relaxation of polymers thus involves a complex interplay between intramolecular and intermolecular cooperativity. Here, we study how the glass-transition temperature varies with molecular weight for different polymer chemistries and chain flexibilities. We find that is controlled by the average mass (or volume) per conformational degree of freedom and that a “local” molecular relaxation (involving a few conformers) controls the larger-scale cooperative relaxation responsible for . We propose that dynamic facilitation where a local relaxation facilitates adjacent relaxations, leading to hierarchical dynamics, can explain our observations, including logarithmic dependences. Our study provides a new understanding of molecular relaxations and the glass transition in polymers, which paves the way for predictive design of polymers based on monomer-scale metrics.