Author: ms87

Read the full paper: here Link to the journal: here Understanding the nature and formation of band gaps associated with the propagation of electromagnetic, electronic, or elastic waves in disordered materials as a function of system size presents fundamental and technological challenges. In particular, a basic question is whether band gaps in disordered systems exist … Continue Reading “Wave propagation and band tails of two-dimensional disordered systems in the thermodynamic limit” is published in Proceedings of the National Academy of Sciences

Read the full paper: here Link to the journal: here An outstanding problem in statistical mechanics is the determination of whether prescribed functional forms of the pair correlation function \(g_2(r)\) [or equivalently, structure factor \(S(k)\)] at some number density \(\rho\) can be achieved by many-body systems in \(d\)-dimensional Euclidean space. The Zhang–Torquato conjecture states that … Continue Reading “Realizability of iso-\(g_2\) processes via effective pair interactions” is Published in The Journal of Chemical Physics

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