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We perform a detailed study of the phase transitions and mechanisms of electron localization in the extended Hubbard model using the dynamical cluster approximation on a $2\times 2$ cluster. We explore the interplay of charge order and Mott…

Strongly Correlated Electrons · Physics 2021-08-25 Hanna Terletska , Sergei Iskakov , Thomas Maier , Emanuel Gull

We investigate the dynamical spin polarization of a massless electron probing an electron plasma in locally thermal equilibrium via the Moller scattering from the quantum kinetic theory. We derive an axial kinetic equation delineating the…

High Energy Physics - Phenomenology · Physics 2022-07-12 Shuo Fang , Shi Pu , Di-Lun Yang

We obtain by invariance arguments the relativistic and non-relativistic invariant dynamical equations of a classical model of a spinning electron. We apply the formalism to a particular classical model which satisfies Dirac's equation when…

Classical Physics · Physics 2008-11-26 Martin Rivas

The crystallization of electrons in quasi low-dimensional solids is studied in a model which retains the full three-dimensional nature of the Coulomb interactions. We show that restricting the electron motion to layers (or chains) gives…

Strongly Correlated Electrons · Physics 2009-11-11 G. Rastelli , P. Quemerais , S. Fratini

Theoretical studies on charge ordering phenomena in quarter-filled molecular (organic) conductors are reviewed. Extended Hubbard models including not only the on-site but also the inter-site Coulomb repulsion are constructed in a…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Jaime Merino , Hideo Yoshioka , Masao Ogata

The nature of the melting transition in two-dimensional systems of particles has attracted considerable research attention since the development of Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. The hexatic phase proposed by this…

Other Condensed Matter · Physics 2026-05-13 Daniel Schick , Tim Matthies , Thomas Mutschler , Levente Rózsa , Ulrich Nowak

We study a model colloidal liquid crystal consisting of hard spherocylinders under the influence of an external aligning potential by Langevin dynamics simulation. The external field that rotates in a plane acts on the orientation of the…

Soft Condensed Matter · Physics 2014-09-25 Ellen Fischermeier , Matthieu Marechal , Klaus Mecke

Quasi-long ranged order is the hallmark of two-dimensional liquid crystals. At equilibrium, this property implies that the correlation function of the local orientational order parameter decays with distance as a power law: i.e.…

Soft Condensed Matter · Physics 2023-11-07 Livio Nicola Carenza , Josep-Maria Armengol-Collado , Dimitrios Krommydas , Luca Giomi

A new concept of the molecular structure optimization method based on quantum dynamics computations is presented. Nuclei are treated as quantum mechanical particles, as are electrons, and the many-body wave function of the system is…

Molecular dynamics simulations are performed for a finite non-relativistic system of particles with Lennard-Jones potential. We study the effect of liquid-gas mixed phase on particle number fluctuations in coordinate subspace. A metastable…

High Energy Physics - Phenomenology · Physics 2023-05-30 Volodymyr A. Kuznietsov , Oleh Savchuk , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Mark I. Gorenstein , Horst Stoecker

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. The problem is…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

Competition between ordered phases, and their associated phase transitions, are significant in the study of strongly correlated systems. Here we examine one aspect, the nonequilibrium dynamics of a photoexcited Mott-Peierls system, using an…

Strongly Correlated Electrons · Physics 2016-02-26 Yao Wang , Brian Moritz , Cheng-Chien Chen , Chunjing Jia , Michel van Veenendaal , Thomas P. Devereaux

Molecular Dynamics simulations are becoming a powerful tool for examining and predicting atomic and molecular processes in various environment. The present review shows how, in the fields of plasma physics, chemistry and interactions with…

Plasma Physics · Physics 2023-12-14 Pascal Brault

Inspired by one--dimensional light--particle systems, the dynamics of a non-Hamiltonian system with long--range forces is investigated. While the molecular dynamics does not reach an equilibrium state, it may be approximated in the…

Statistical Mechanics · Physics 2019-01-23 Romain Bachelard , Nicola Piovella , Shamik Gupta

We extend the static theory of disorder-induced exponential decay of the averaged Green function of a quantum charged particle in a classical one-component plasma to the dynamic regime by incorporating the temporal evolution of the ionic…

Statistical Mechanics · Physics 2026-05-19 Yury A. Budkov

We investigate by Molecular Dynamics simulation a system of $N$ particles moving on the surface of a two-dimensional sphere and interacting by a Lennard-Jones potential. We detail the way to account for the changes brought by a nonzero…

Statistical Mechanics · Physics 2015-06-18 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

Probing dynamic and static correlation in glass-forming supercooled liquids has been a challenge for decades in spite of extensive research. Dynamic correlation which manifests itself as Dynamic Heterogeneity is ubiquitous in a vast variety…

Statistical Mechanics · Physics 2021-09-22 Anoop Mutneja , Smarajit Karmakar

We investigate the local structural fluctuations of a model equilibrium fluid with an aim of better understanding the structural basis of locally heterogeneous dynamics identified in recent simulations and experimental studies of…

Soft Condensed Matter · Physics 2018-11-14 Tamoghna Das , Jack F. Douglas

We examine the phenomenon of dynamical heterogeneity in computer simulations of an equilibrium, glass-forming liquid. We describe several approaches to quantify the spatial correlation of single-particle motion, and show that spatial…

Soft Condensed Matter · Physics 2009-09-25 Sharon C. Glotzer , Claudio Donati

In this work we study the stochastic process of two-species coagulation. This process consists in the aggregation dynamics taking place in a ring. Particles and clusters of particles are set in this ring and they can move either clockwise…

Analysis of PDEs · Mathematics 2014-04-22 Carlos Escudero , Fabricio Macia , Raul Toral , Juan J. L. Velazquez
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