Unraveling complex systems: the Backtracking Method

The configuration space of a 3-regular graph with 12 nodes. The attractors in th
The configuration space of a 3-regular graph with 12 nodes. The attractors in the red/cyan colours, and their basin of attraction is in blue and yellow. Credit: Freya Behrens, EPFL.
The configuration space of a 3-regular graph with 12 nodes. The attractors in the red/cyan colours, and their basin of attraction is in blue and yellow. Credit: Freya Behrens, EPFL. Scientists at EPFL and Charles University have developed a new method to analyze the dynamical, out-of-equilibrium properties of complex disordered systems, such as gold with magnetic impurities or opinions spreading on social media. In physics, a "disordered system" refers to a physical system whose components - e.g. its atoms - are not organized in any discernible way. Like a drawer full of random socks, a disordered system lacks a well-defined, ordered pattern due to various factors like impurities, defects, or interactions between components. This randomness makes it difficult to predict the system's behavior accurately.
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