Morphometric approach to many-body correlations in hard spheres

We model the thermodynamics of local structures within the hard sphere liquid at arbitrary volume fractions through the \textit{morphometric} calculation of $n$-body correlations. We calculate absolute free energies of local geometric motifs in excellent quantitative agreement with molecular dynamics simulations across the liquid and supercooled liquid regimes. We find a bimodality in the density library of states where five-fold symmetric structures appear lower in free energy than four-fold symmetric structures, and from a single reaction path predict a relaxation barrier which scales linearly in the compressibility factor. The method provides a new route to assess changes in the free energy landscape at volume fractions dynamically inaccessible to conventional techniques.Comment: 6+17 pages, 3 figure

Social media strategy: The keys to successfully penetrating online communities

The proliferation of social media usage has made engagement with social networks a marketing imperative. The effectiveness of any marketing effort is largely dependent on the quality and implementation of its strategy. Social media generates an intense amount of interest as a marketing platform because of its low cost and wide reach. However, this study finds that leveraging social media may be far more effective as a public relations asset than as an advertising platform. This study in no way deals with the effects of paid advertising on social media, but focuses instead on utilizing social media for unpaid marketing communication. This study also finds that the perception of social media as a low cost marketing platform is misleading. While free communication is the very foundation of social media, the intense amount of time and effort that is continuously required to execute a successful social media strategy should not be underestimated. The following research report chronicles the development and implementation of a social media strategy and examines its effects through a participant observation case study. The intensive and immersive nature of this methodology grants unique insight, but its narrow scope also limits its implications. This case study can inform the development of other more general research projects with the aim of testing if its findings are universally applicable. Although this study is by no means conclusive, companies and individuals can use its findings as a guide in the creation of their own social media strategy