We study a generalised model of self-avoiding trails, containing two different types of interaction (nearest-neighbour contacts and multiply visited sites), using computer simulations. This model contains various previously-studied models as special cases. We find that the strong collapse transition induced by multiply-visited sites is a singular point in the phase diagram and corresponds to a higher order multi-critical point separating a line of weak second-order transitions from a line of first-order transitions.
This week we are launching a brand new look for Authorea and a couple of exciting new features aimed at making scientific research more interactive. Since the very beginning of Authorea, we have been striving to make collaborative scientific writing as easy as possible. But in addition to WRITING, we are also creating a space for new ways of READING science, and EXECUTING it. For example, if you are a scientist, chances are that you do a lot of data analysis and you might want to visualize and provide access to your data in some FUN, NEW, INTERACTIVE, MORE MEANINGFUL, DATA-DRIVEN ways, rather than the usual static, data-less plot. There are many ways to create this kind of interactive plots. In this short blog post we will look at two of them.