Diffusion and wave propagation are both fundamental transport mechanisms, but they have
intrinsically different dynamics, governing equations, and applications. Over the past …

Diffusion driven by temperature or concentration gradients is a fundamental mechanism of
energy and mass transport that inherently differs from wave propagation in both physical …

We lay the foundation of a circuit theory for chemical reaction networks. Chemical reactions
are grouped into chemical modules solely characterized by their current-concentration …

Metamaterials facilitate on-demand manipulations of mass diffusion and have been broadly
employed in many fields covering optics, electronics, and particle dynamics. However, the …

All current formulations of nonequilibrium thermodynamics of open chemical reaction
networks rely on the assumption of non-interacting species. We develop a general theory …

We develop a general classification of the nature of the instabilities yielding spatial
organization in open nonideal reaction-diffusion systems, based on linear stability analysis …

Inspired by the electronic and acoustic Zeeman effects in wave systems, we demonstrate
here that an angular momentum bias generated by a volume force can also lead to modal …

The outstanding abilities of metamaterials to manipulate physical fields are extensively
studied in both wave‐based and diffusion‐based fields. However, mass diffusion …

Metamaterials are micro-or nanostructured materials designed by transformation physics,
which can manipulate energy flow in an unprecedented manner. Here, for the first time, we …

We present an active cloaking method for the parabolic heat (and mass or light diffusion)
equation that can hide both objects and sources. By active, we mean that it relies on …