Researchers have made a breakthrough in applying the first law of thermodynamics to complex systems, rewriting the way we ...

When water freezes, it transitions from a liquid phase to a solid phase, resulting in a drastic change in properties like density and volume. Phase transitions in water are so common most of us ...

A study by University of Hawaiʻi researchers is advancing how we learn the laws that govern complex systems—from predator-prey relationships to traffic patterns in cities to how populations grow and ...

Higher-order topological dynamics combines higher-order interactions, topology and non-linear dynamics giving rise to new emergent phenomena. These phenomena encode information which can dramatically ...

Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...

Quantum many-body systems distribute localized information over many non-local degrees of freedom in the course of their time evolution, a process called information scrambling. Information scrambling ...

It is well known that the decoding of zero rate stabilizer codes can be mapped onto statistical mechanics models with quenched disorder. Statistical mechanics mappings were first developed for ...

The original version of this story appeared in Quanta Magazine. A few centuries ago, the swirling polychromatic chaos of Jupiter’s atmosphere spawned the immense vortex that we call the Great Red Spot ...