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We report a numerical calculation of the total number of disordered jammed configurations $\Omega$ of $N$ repulsive, three-dimensional spheres in a fixed volume $V$. To make these calculations tractable, we increase the computational…

Statistical Mechanics · Physics 2016-01-29 Stefano Martiniani , K. Julian Schrenk , Jacob D. Stevenson , David J. Wales , Daan Frenkel

We utilize the generalized entropy theory (GET) of glass formation to address one of the most singular and least understood properties of polymer glass-forming liquids in comparison to atomic and small molecule liquids -- the often…

Soft Condensed Matter · Physics 2024-12-30 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

A thermodynamic measure of the fragility of liquids has recently (Ito et al ref.1) been defined in terms of the temperature dependence of the excess entropy of liquid over crystal, scaled by the excess entropy at the glass transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. -M. Martinez , C. A. Angell

We present an algorithm to estimate the configurational entropy $S$ of a polymer. The algorithm uses the statistics of coincidences among random samples of configurations and is related to the catch-tag-release method for estimation of…

Biomolecules · Quantitative Biology 2015-03-27 Ilya Nemenman , Michael E. Wall , Charlie E. Strauss

The meson family of $\eta$ pseudoscalars is studied in the context of the AdS/QCD correspondence and the differential configurational entropy (DCE). For it, two forms of configurational-entropic Regge-like trajectories are engendered,…

High Energy Physics - Theory · Physics 2021-02-04 Roldao da Rocha

The paper combines two topics belonging to the general theme of the spontaneous symmetry breaking (SSB) in systems including two basic competing ingredients: the self-focusing cubic nonlinearity and a double-well-potential (DWP) structure.…

Pattern Formation and Solitons · Physics 2015-11-30 Boris A. Malomed

Thanks to Pfaffian techniques, we study the R\'enyi entanglement entropies and the entanglement spectrum of large subsystems for two-dimensional Rokhsar-Kivelson wave functions constructed from a dimer model on the triangular lattice. By…

Statistical Mechanics · Physics 2012-02-13 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

An intriguing feature of type II$_1$ von Neumann algebra is that the entropy of the mixed states is negative. Although the type classification of von Neumann algebra and its consequence in holography have been extensively explored recently,…

High Energy Physics - Theory · Physics 2024-04-04 Haifeng Tang

We show that spontaneous time-reversal-symmetry (TRS) breaking can naturally arise from the interplay between pair density wave (PDW) ordering at multiple momenta and nesting of Fermi surfaces (FS). Concretely, we consider pair-density-wave…

Superconductivity · Physics 2022-10-12 Jin-Tao Jin , Kun Jiang , Hong Yao , Yi Zhou

We resolve a seeming paradox arising from a common misinterpretation of Ben-Naim's theorem, which rests on a pairwise decomposition of the Hamiltonian of a molecular solute/solvent system into pairwise solute-solvent and solvent-solvent…

Computational Physics · Physics 2023-06-19 Leonard P. Heinz , Helmut Grubmüller

Based on the property of extensivity (mathematically, homogeneity of first degree), we derive in a mathematically consistent manner the explicit expressions of the chemical potential $\mu$ and the Clausius entropy $S$ for the case of…

Statistical Mechanics · Physics 2013-01-15 Thomas Oikonomou , G. Baris Bagci

By taking advantage of the molecular weight dependence of the glass transition of polymers and their ability to form perfectly miscible blends, we propose a way to modify the fragility of a system, from fragile to strong, keeping the same…

Soft Condensed Matter · Physics 2009-11-12 C. Dalle-Ferrier , S. Simon , W. Zheng , P. Badrinarayanan , T. Fennell , B. Frick , J. M. Zanotti , C. Alba-Simionesco

We study thermodynamic and dynamic properties of a rigid model of the fragile glass forming liquid orthoterphenyl. A system of N=343 molecules is considered in a wide range of densities and temperatures, reaching simulation times up to 1…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , E. La Nave , H. E. Stanley , C. Donati , F. Sciortino , P. Tartaglia

We derive the multiparticle-correlation expansion of the excess entropy of classical particles in the canonical ensemble using a new approach that elucidates the rationale behind each term in the expansion. This formula provides the…

Statistical Mechanics · Physics 2011-10-25 S. Prestipino , P. V. Giaquinta

Entropic contributions to the stability of solids are very well understood and the mixing entropy has been used for forming various solids, for instance such as inverse spinels. A particular development was related to high entropy alloys in…

Materials Science · Physics 2019-10-23 David Berardan , Sylvain Franger , Diana Dragoe , Arun Kumar Meena , Nita Dragoe

The recently discovered Kagome superconductor AV$_3$Sb$_5$ (where A refers to K, Rb, Cs) has stimulated widespread research interest due to its interplay of non-trivial topology and unconventional correlated physics including charge-density…

Strongly Correlated Electrons · Physics 2026-02-20 Qinwen Deng , Hengxin Tan , Brenden R. Ortiz , Stephen D. Wilson , Binghai Yan , Liang Wu

Several arguments suggest that the entropy density at high energy density $\rho$ should be given by the expression $s=K\sqrt{\rho/G}$, where $K$ is a constant of order unity. On the other hand the covariant entropy bound requires that the…

High Energy Physics - Theory · Physics 2015-05-06 Ali Masoumi , Samir D. Mathur

We argue that there is correspondence between the perfect nonextensive hydrodynamics and the usual dissipative hydrodynamics, which we call nonextensive/dissipative correspondence (NexDC). It leads to simple expression for dissipative…

Nuclear Theory · Physics 2011-07-26 Takeshi Osada , Grzegorz Wilk

The thermodynamics of liquids and supercritical fluids is notorious for eluding a general theory, as can be done for crystalline solids on the basis of phonons and crystal symmetry. The extension of solid state notions such as…

Soft Condensed Matter · Physics 2024-03-06 Cillian Cockrell , Aleksandra Dragović

The information entropies in coordinate and momentum spaces and their sum ($S_r$, $S_k$, $S$) are evaluated for many nuclei using "experimental" densities or/and momentum distributions. The results are compared with the harmonic oscillator…

Nuclear Theory · Physics 2009-11-11 S. E. Massen , V. P. Psonis , A. N. Antonov