“Precise determination of pair interactions from pair statistics of many-body systems in and out of equilibrium” is Published in Physical Review E Categories News Author ms87 Read the full paper: here Link to the journal: here The determination of the pair potential \(v(\mathbf{r})\) that accurately yields an equilibrium state at positive temperature \(T\) with a prescribed pair correlation function \(g_2(\mathbf{r})\) or corresponding structure factor \(S(\mathbf{k})\) in \(d\)-dimensional Euclidean space \(\mathbb{R}^d\) is an outstanding inverse statistical mechanics problem with far-reaching implications. Recently, … Continue Reading “Precise determination of pair interactions from pair statistics of many-body systems in and out of equilibrium” is Published in Physical Review E
“Exclusion volumes of convex bodies in high space dimensions: applications to virial coefficients and continuum percolation” is Published in Journal of Statistical Mechanics: Theory and Experiment Categories News Author ms87 Read the full paper: here Link to the journal: here Using the concepts of mixed volumes and quermassintegrals of convex geometry, we derive an exact formula for the exclusion volume \(v_{ex}(K) \) for a general convex body \( K \) that applies in any space dimension. While our main interests concern the rotationally-averaged exclusion volume … Continue Reading “Exclusion volumes of convex bodies in high space dimensions: applications to virial coefficients and continuum percolation” is Published in Journal of Statistical Mechanics: Theory and Experiment
“Extraordinary disordered hyperuniform multifunctional composites” is Published in Journal of Composite Materials Categories News Author ms87 Read the full paper: here Link to the journal: here A variety of performance demands are being placed on material systems, including desirable mechanical, thermal, electrical, optical, acoustic and flow properties. The purpose of the present article is to review the emerging field of disordered hyperuniform composites and their novel multifunctional characteristics. Disordered hyperuniform media … Continue Reading “Extraordinary disordered hyperuniform multifunctional composites” is Published in Journal of Composite Materials
