Virial coefficients are fundamental parameters in the statistical description of fluids, encapsulating the effects of molecular interactions on macroscopic thermodynamic properties. Through the virial ...

Abstract: A virial relation is an integral identity involving the solution of a differential equation. The identity can be derived from the equation itself or, if the equation can be formulated as a ...

One of the challenges in biopharmaceutical development is measuring the 3-d structure of the active protein. The diffraction of X-ray beams through a crystalline structure can be measured to produce a ...

THE above-named theorem, which appeared in the Phil. Mag. for August 1870, much as it is now used in connection with the kinetic theory of gases, received little, if any, attention in England for some ...

Abstract: These notes discuss those partial differential equations that can be formulated as a variational problem ("minimization problem"). They were written for a graduate course in nonlinear ...