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We propose a new way of investigating phase transitions in the context of information theory. We use an information-entropic measure of spatial complexity known as configurational entropy (CE) to quantify both the storage and exchange of…

Statistical Mechanics · Physics 2018-03-23 Damian Sowinski , Marcelo Gleiser

The so-called configurational entropy (CE) framework has proved to be an efficient instrument to study nonlinear scalar field models featuring solutions with spatially-localized energy, since its proposal by Gleiser and Stamapoulos.…

High Energy Physics - Theory · Physics 2017-07-18 W. T. Cruz , D. M. Dantas , R. A. C. Correa , C. A. S. Almeida

We investigate the behavior of entanglement entropy in the holographic QCD model proposed by Gubser et al. By choosing suitable parameters of the scalar self-interaction potential, this model can exhibit various types of phase structures:…

High Energy Physics - Theory · Physics 2017-01-31 Shao-Jun Zhang

Configurational entropy (CE) and configurational complexity (CC) are recently popularized information theoretic measures used to study the stability of solitons. This paper examines their behavior for 2D and 3D lattice Ising Models, where…

Statistical Mechanics · Physics 2025-03-06 Damian R Sowinski , Sean Kelty , Gourab Ghoshal

Entropy governs molecular self-assembly, phase transitions, and material stability, yet remains challenging to quantify and directly control in molecular systems. Here, we demonstrate that the computable information density (CID), a data…

Statistical Mechanics · Physics 2026-02-27 Ashley Z. Guo , Kaelyn Chang , Nicholas J. Corrente

The nature of phase boundaries in the QCD phase diagram has not been satisfactorily explored by experiments. Based on the Ginzburg-Landau free energy with a spatially inhomogeneous term as a function of a scalar order parameter, it is…

Nuclear Experiment · Physics 2008-11-26 Kensuke Homma , the PHENIX collaboration

We construct a configurational entropy measure in functional space. We apply it to several nonlinear scalar field models featuring solutions with spatially-localized energy, including solitons and bounces in one spatial dimension, and…

High Energy Physics - Theory · Physics 2012-06-22 Marcelo Gleiser , Nikitas Stamatopoulos

The information theoretic observables entropy (a measure of disorder), excess entropy (a measure of complexity) and multi information are used to analyze ground-state spin configurations for disordered and frustrated model systems in 2D and…

Disordered Systems and Neural Networks · Physics 2013-05-30 O. Melchert , A. K. Hartmann

Using a model of spinless fermions in a lattice with nearest neighbor and next-nearest neighbor interaction we show that the entropy of the reduced two site density matrix (the bond entropy) can be used as an extremely accurate and easy to…

Strongly Correlated Electrons · Physics 2009-11-13 Rafael A. Molina , Peter Schmitteckert

This note contains discussions on the entanglement entropy and mutual information of a strongly coupled field theory with a critical point which has a holographic dual. We investigate analytically, in the specific regimes of parameters, how…

High Energy Physics - Theory · Physics 2020-11-11 Hajar Ebrahim , Gol-Mohammad Nafisi

We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging…

Statistical Mechanics · Physics 2009-11-07 David P. Feldman , James P. Crutchfield

Coarse-grained measurements offer a scalable alternative to full state tomography for characterizing complex quantum dynamics. We show that observational entropy (OE), an information-theoretic entropy defined directly from finite-resolution…

Quantum Physics · Physics 2026-05-25 J. Bharathi Kannan , Sreeram PG , M. S. Santhanam

In statistical physics, if we successively divide an equilibrium system into two parts, we will face a situation that, within a certain length $\xi$, the physics of a subsystem is no longer the same as the original system. Then the…

Quantum Physics · Physics 2009-11-13 Shi-Jian Gu , Chang-Pu Sun , Hai-Qing Lin

Entanglement is a key quantum phenomena and understanding transitions between phases of matter with different entanglement properties are an interesting probe of quantum mechanics. We numerically study a model of a 2D tensor network…

Statistical Mechanics · Physics 2021-08-06 Ryan Levy , Bryan K. Clark

We consider a topologically massive Ginzburg-Landau model of superconductivity. In the context of a mean field calculation, we show that there is an increase in the critical temperature driven by the topological term. It is shown that this…

Condensed Matter · Physics 2007-05-23 A. P. C. Malbouisson , F. S. Nogueira , N. F. Svaiter

We make a connection between quantum phase transitions in condensed matter systems, and supersymmetric gauge theories that are of interest in the particle physics literature. In particular, we point out interesting effects of the…

High Energy Physics - Theory · Physics 2011-06-08 Grigoris Panotopoulos

An entropy function is proposed in [Phys. Rev. Lett. 131, 251602] as a way to detect criticality even when the system size is small. In this note we apply this strategy in the search for criticality of lattice transfer matrices constructed…

Strongly Correlated Electrons · Physics 2026-05-06 Anran Jin , Ling-Yan Hung

We show that a newly proposed Shannon-like entropic measure of shape complexity applicable to spatially-localized or periodic mathematical functions known as configurational entropy (CE) can be used as a predictor of spontaneous decay rates…

Atomic Physics · Physics 2018-03-26 Marcelo Gleiser , Nan Jiang

We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of…

Strongly Correlated Electrons · Physics 2009-11-04 K. Mikelsons , E. Khatami , D. Galanakis , A. Macridin , J. Moreno , M. Jarrell

Within the Ginzburg-Landau functional framework for the superconducting transition, we analyze the fluctuation-driven shift of the critical temperature. In addition to the order parameter fluctuations, we also take into account the…

Superconductivity · Physics 2020-06-11 Alberto Cappellaro , Luca Salasnich
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