nnp FY2014 Annual Report 02

(left panel) Characterisation of morphological hierarchy of 2D aggregates. Whereas Λ encodes all details of interactions, the structural randomness of the resulting configurations is quantified by two-body excess entropy S2. Together, they provide a uniform representaion of 2D aggregates' structure. Data points are for different realisation of competitions obtained for different values of tuning parameters. A system of density 0.4 and temperature 0.05 is studied.
(right panel) Universal relation between average dynamics and structural randomness of systems with competing interactions. Different type of points represent different bulk temperature of the systems, starting from top: T=0.25, 0.20, 0.15, 0.10, 0.05. At high temperature, all the systems behave like equilibrium liquid irrespective of the details of competition and have same diffusivity and same randomness (S2). With decreasing temperature, geometric frustration resulting from competition start to win over thermal fluctuations and non-ergodic aggregates of different shapes start to appear. Reduced diffusivity, D* and S2 quantifying randomness show spread accordingly. Interestingly, same relationship holds for high temperature equilibrium liquid and low-temperatuer non-equilibrium non-compact aggregates. Compact aggregates deviate from that.