In the past few decades, the use of phase field-modeling equations for mathematical modeling has progressed. Phase separation has been studied extensively in thermodynamics and materials engineering, ...

Maxwell’s equations of electromagnetism and the Euler equation top a poll to find the greatest equations of all time. Robert P Crease discusses the results of his reader survey First among equals – ...

While order often devolves to chaos, sometimes the reverse is true. Turbulent fluid, for example, has a tendency to spontaneously form a tidy pattern: parallel stripes. Though physicists had observed ...

For years, Rutgers physicist David Shih solved Rubik's Cubes with his children, twisting the colorful squares until the scrambled puzzle returned to order. He didn't expect the toy to connect to his ...

What is the Stokes-Einstein Equation? The Stokes-Einstein equation is a fundamental relation in physics that describes the diffusion of spherical particles through a fluid with low Reynolds number. It ...

Mathematicians are challenging the idea that dark energy is responsible for the accelerating expansion of the universe. In a ...