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“Equilibrium states corresponding to targeted hyperuniform nonequilibrium pair statistics” is published in Soft Matter

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Read the full paper: here Link to the journal: here The Zhang–Torquato conjecture [G. Zhang and S. Torquato, Phys. Rev. E, 2020, 101, 032124.] states that any realizable pair correlation function \(g_2(\mathbf{r})\) or structure factor \(S(\mathbf{k})\) of a translationally invariant nonequilibrium system can be attained by an equilibrium ensemble involving only (up to) effective two-body … Continue Reading “Equilibrium states corresponding to targeted hyperuniform nonequilibrium pair statistics” is published in Soft Matter

“Wave propagation and band tails of two-dimensional disordered systems in the thermodynamic limit” is published in Proceedings of the National Academy of Sciences

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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

“Realizability of iso-\(g_2\) processes via effective pair interactions” is Published in The Journal of Chemical Physics

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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