Abstract
The Euler characteristic of an object is a topological invariant determined by the number ofhandles and holes that it contains. Here, we use the Euler characteristic to profile thetopology of model three-dimensional gel-forming fluids as a function of increasing lengthscale. These profiles act as a ‘topological fingerprint’ of the structure, and can beinterpreted in terms of three types of topological events. As model fluids we haveconsidered a system of dipolar dumbbells, and suspensions of adhesive hard spheres withisotropic and patchy interactions in turn. The correlation between the percolationthreshold and the length scale on which the Euler characteristic passes throughzero is examined and found to be system-dependent. A scheme for the efficientcalculation of the Euler characteristic with and without periodic boundary conditions isdescribed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
