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We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson's…

Analysis of PDEs · Mathematics 2022-06-16 Apratim Bhattacharya , Markus Gahn , Maria Neuss-Radu

We study ferromagnetic transition in three-dimensional double-exchange model containing impurities. The influence of both spin fluctuations and impurity potential on conduction electrons is described in coherent potential approximation. In…

Strongly Correlated Electrons · Physics 2009-11-07 Mark Auslender , Eugene Kogan

We present a first study of the antiferromagnetic state in the 2D t-t'-U model at finite temperatures by the composite operator method, providing simultaneously a fully self-consistent treatment of the paramagnetic and the AF phase. Near…

Strongly Correlated Electrons · Physics 2007-05-23 Roland Muenzner , Adolfo Avella , Ferdinando Mancini

We consider the problem of heterogeneous nucleation and growth. The system is described by a phase field model in which the temperature is included through thermal noise. We show that this phase field approach is suitable to describe…

Statistical Mechanics · Physics 2009-11-07 Mario Castro

Quantum phase transitions in the Hubbard model on the honeycomb lattice are investigated in the variational cluster approximation. The critical interaction for the paramagnetic to antiferromagnetic phase transition is found to be in…

Strongly Correlated Electrons · Physics 2012-09-11 K. Seki , Y. Ohta

Thermodynamics of clusterized matter is studied in the framework of statistical models with non-interacting cluster degrees of freedom. At variance with the analytical Fisher model, exact Metropolis simulation results indicate that the…

Nuclear Theory · Physics 2009-09-01 Ad. R. Raduta , F. Gulminelli

We explore low temperature properties of quantum triangular Heisenberg antiferromagnets in two dimension in the vicinity of the quantum phase transition at zero temperature. Using the effective field theory described by the $SO(3)\times…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Fujimoto

An effective field theory is derived for the ferromagnetic transition of diffusive electrons at T=0. The static disorder which leads to diffusive electron dynamics induces an effective long-range interaction between the spins of the form…

Statistical Mechanics · Physics 2016-08-31 D. Belitz , T. R. Kirkpatrick

A novel regularized fracture model for crack propagation in porous media is proposed. Our model is obtained through homogenization theory and formal asymptotic expansions. We start with a regularized quasi-static fracture model posed in a…

Analysis of PDEs · Mathematics 2021-10-07 J. Galvis , H. M. Versieux

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

Statistical Mechanics · Physics 2019-01-31 Ran Huang , Purushottam D. Gujrati

We discuss the phase structure of homogeneous quark matter under the charge neutrality constraints, and present a unified picture of the thermal unpairing phase transitions for a wide range of the quark density. We supplement our…

High Energy Physics - Phenomenology · Physics 2009-11-11 H. Abuki , T. Kunihiro

Histogram Monte-Carlo simulation results are presented for the magnetic-field -- temperature phase diagram of the Ising model on a stacked triangular lattice with antiferromagnetic intraplane and ferromagnetic interplane interactions.…

Condensed Matter · Physics 2015-06-25 M. L. Plumer , A. Mailhot

We study the homogenization of the Thomas-Fermi-von Weizsacker (TFW) model for 2D materials. It consists in considering 2D-periodic nuclear densities with periods going to zero. We study the behavior of the corresponding ground state…

Mathematical Physics · Physics 2025-05-26 Saad Benjelloun , Salma Lahbabi , Abdelqoddous Moussa

Precise modeling of the magnetization dynamics of nanoparticles with finite size effects at fast varying temperatures is a computationally challenging task. Based on the Landau-Lifshitz-Bloch (LLB) equation we derive a coarse grained model…

Materials Science · Physics 2019-08-07 Christoph Vogler , Claas Abert , Florian Bruckner , Dieter Suess

The deconfinement phase transition with external magnetic field is investigated in the Friedberg-Lee model. In the frame of functional renormalization group, we extend the often used potential expansion method for continuous phase…

Nuclear Theory · Physics 2017-02-17 Shijun Mao

This work presents a unified numerical framework for simulating incompressible flows within the coupled fluid-porous-medium system and involving heat and solute transport and phase-changing process. A complete set of governing equations is…

Fluid Dynamics · Physics 2026-01-28 Rongfu Guo , Yantao Yang

We study the critical properties in cubic systems of antiferromagnetically coupled spin dimers near magnetic-field induced quantum phase transitions. The quantum critical points in the zero-temperature phase diagrams are determined from…

Strongly Correlated Electrons · Physics 2009-11-10 Omid Nohadani , Stefan Wessel , Stephan Haas

We consider a two-dimensional quantum spin system described by a Heisenberg model that is embedded in a three-dimensional metal. The two systems couple via an antiferromagnetic Kondo interaction. In such a setup, the ground state…

Strongly Correlated Electrons · Physics 2023-10-10 Zi Hong Liu , Bernhard Frank , Lukas Janssen , Matthias Vojta , Fakher F. Assaad

A paramagnetic-ferromagnetic quantum phase transition is known to occur at zero temperature in a two-dimensional coherently-coupled Bose mixture of dilute ultracold atomic gases provided the interspecies interaction strength is large…

Quantum Gases · Physics 2023-04-05 Arko Roy , Miki Ota , Franco Dalfovo , Alessio Recati

Solid atomic hydrogen is one of the simplest systems to undergo a metal-insulator transition. Near the transition, the electronic degrees of freedom become strongly correlated and their description provides a difficult challenge for…

Strongly Correlated Electrons · Physics 2013-09-30 Jeremy McMinis , Miguel Morales , David M. Ceperley , Jeongnim Kim