Turbulence in nature refers to the complex, time-dependent, and spatially varying fluctuations that develop in fluids such as water, air, and plasma. It is a universal phenomenon that appears across a ...

Entropy and information theory offer a robust quantitative framework for decoding the complexity inherent in landscape patterns. By drawing from principles in thermodynamics and statistical mechanics, ...

Exactly 200 years ago, a French engineer introduced an idea that would quantify the universe’s inexorable slide into decay. But entropy, as it’s currently understood, is less a fact about the world ...

The identities or bounds that relate information measures (e.g., the entropy and mutual information) and estimation measures (e.g., the minimum means square error ...

The universe, in all its vastness, is governed by physical laws that dictate the ebb and flow of matter and energy. A cornerstone among these laws is the second law of thermodynamics, which suggests a ...

A challenge in materials design is that in both natural and manmade materials, volume sometimes decreases, or increases, with increasing temperature. While there are mechanical explanations for this ...