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Multicritical Schur Measures and Higher-Order Analogues of the Tracy–Widom Distribution
We introduce multicritical Schur measures, which are probability laws on integer partitions which give rise to non-generic fluctuations at their...
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Convergence Rate to the Tracy–Widom Laws for the Largest Eigenvalue of Wigner Matrices
We show that the fluctuations of the largest eigenvalue of a real symmetric or complex Hermitian Wigner matrix of size N converge to the Tracy–Widom...
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Tracy-Widom Distributions for the Gaussian Orthogonal and Symplectic Ensembles Revisited: A Skew-Orthogonal Polynomials Approach
We study the distribution of the largest eigenvalue in the “Pfaffian” classical ensembles of random matrix theory, namely in the Gaussian orthogonal...
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On the Relationship Between the Roots of Cubic Equations of State and New Perspectives of the Vapor–Liquid Equilibrium Calculation
AbstractBased on the root–coefficient relations for a cubic function, quadratic functions are constructed that strictly relate the saturated volumes...
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Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and...
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Spatial Tightness at the Edge of Gibbsian Line Ensembles
Consider a sequence of Gibbsian line ensembles, whose lowest labeled curves (i.e., the edge) have tight one-point marginals. Then, given certain...
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Entanglement entropies of an interval in the free Schrödinger field theory on the half line
We study the entanglement entropies of an interval adjacent to the boundary of the half line for the free fermionic spinless Schrödinger field theory...
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Free Energy Fluctuations of the Bipartite Spherical SK Model at Critical Temperature
The spherical Sherrington–Kirkpatrick (SSK) model and its bipartite analog both exhibit the phenomenon that their free energy fluctuations are...
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JT Gravity, Random Matrix Theoryand Third-Order Phase Transition
AbstractThe partition functions of Jackiw–Teitelboim (JT) gravity corresponds to random matrix integral. And we can define three different versions...
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Numerical Analysis of Heat Transfer Characteristics to Supercritical CO2 in a Vertical Mini-Channel: Transition and Pseudo-Boiling
Large eddy simulations have been conducted to study upward transitional flows and heat transfer characteristics of supercritical CO 2 in a vertical...
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Semiclassical approach to form factors in the sinh-Gordon model
Form factors in the sinh-Gordon model are studied semiclassically for small values of the parameter b ~ ħ 1/2 in the background of a radial classical...
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Quantized valley Hall response from local bulk density variations
The application of a mechanical strain to a 2D material can create pseudo-magnetic fields and lead to a quantized valley Hall effect. However,...
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Critical behavior of LaBiCaMn2O7 and its relation with magnetocaloric effect
Double-layered LaBiCaMn 2 O 7 perovskites were synthesized using solid-state reaction. The critical exponents were explored around its Curie...
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Magnetic properties and critical behavior of quasi-2D layered Cr4Te5 thin film
Quasi-2D layered Cr 4 Te 5 thin film has attracted great attention because it possesses the high Curie temperature close to room temperature and...
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First Principles Evaluation of Phase Stability in the In-Sn Binary System
The In-Sn binary alloy system exhibits several unusual features that challenge crystallographic and thermodynamic expectations. We combine first...
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Shared Mathematical Content in the Context of Complex Systems
We pursue a reduction to the mathematical rather than a material content that is underlying a number of universal phenomena observed in different...