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Although density functional theory provides reliable predictions for the static properties of simple fluids under confinement, a theory of comparative accuracy for the transport coefficients has yet to emerge. Nonetheless, there is evidence…

We theoretically investigate the thermodynamics of an interacting inhomogeneous two-component Fermi gas in an optical lattice. Motivated by a recent experiment by L. Hackerm\"uller et al., Science, 327, 1621 (2010), we study the effect of…

We study the relaxation process in a two-dimensional lattice gas model, where the interactions come from the excluded volume. In this model particles have three arms with an asymmetrical shape, which results in geometrical frustration that…

Statistical Mechanics · Physics 2009-11-07 A. Diaz-Sanchez , Antonio de Candia , Antonio Coniglio

Motivated by electronic transport in graphene-like structures, we study the diffusion of a classical point particle in Fermi potentials situated on a triangular lattice. We call this system a soft Lorentz gas, as the hard disks in the…

Statistical Mechanics · Physics 2019-02-18 R. Klages , S. S. Gil Gallegos , J. Solanpää , M. Sarvilahti , E. Räsänen

We address the existence and dynamics of one-dimensional harmonically confined quantum droplets, appearing in two-component mixtures by deploying a nonperturbative approach. We find that, in symmetric homonuclear settings, beyond…

Quantum Gases · Physics 2023-02-24 I. A. Englezos , S. I. Mistakidis , P. Schmelcher

The description of activated relaxation of glassy systems in the multidimensional configurational space is a long-standing open problem. We develop a phenomenological description of the out-of-equilibrium dynamics of a model with a rough…

Disordered Systems and Neural Networks · Physics 2014-10-09 Chiara Cammarota , Enzo Marinari

The collective motion of interacting self-driven particles describes many types of coordinated dynamics and self-organisation. Prominent examples are alignment or lane formation which can be observed alongside other ordered structures and…

Adaptation and Self-Organizing Systems · Physics 2022-02-24 Basma Khelfa , Raphael Korbmacher , Andreas Schadschneider , Antoine Tordeux

Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. At low temperatures or high densities their evolution is often dominated by steric hindrances affecting particle motion [1,2,3].…

Statistical Mechanics · Physics 2016-05-10 M. M. Valado , C. Simonelli , M. D. Hoogerland , I. Lesanovsky , J. P. Garrahan , E. Arimondo , D. Ciampini , O. Morsch

We demonstrate through two case studies, one on the p-spin interaction model and the other on the random K-satisfiability problem, that a heterogeneity transition occurs to the ground-state configuration space of a random…

Disordered Systems and Neural Networks · Physics 2010-10-12 Haijun Zhou , Chuang Wang

In this paper we introduce a modified lattice Boltzmann model (LBM) with the capability of mimicking a fluid system with dynamic heterogeneities. The physical system is modeled as a one-dimensional fluid, interacting with finite-lifetime…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , S. Succi

Conserved lattice gas (CLG) models in one dimension exhibit absorbing state phase transition (APT) with simple integer exponents $\beta=1=\nu=\eta$ whereas the same on a ladder belong to directed percolation (DP)universality. We conjecture…

Statistical Mechanics · Physics 2017-10-18 Arijit Chatterjee , P. K. Mohanty

As approaching the glass transition, particle motion in liquids becomes highly heterogeneous and regions with virtually no mobility coexist with liquid-like domains. This complex dynamics is believed to be responsible for different…

Soft Condensed Matter · Physics 2018-03-28 F. Puosi , N. Jakse , A. Pasturel

We present a mode-coupling theory for the dynamics of a tagged particle in a driven granular fluid close to the glass transition. The mean-squared displacement is shown to exhibit a plateau indicating structural arrest. In contrast to…

Statistical Mechanics · Physics 2012-11-20 Matthias Sperl , Wolf Till Kranz , Annette Zippelius

Collective diffusion coefficient in a two-dimensional lattice gas on a nonhomogeneous substrate is investigated using variational approach. Particles reside at adsorption sites with different well depths potentials and jump randomly between…

Statistical Mechanics · Physics 2009-11-13 F Krzyzewski , Magdalena A. Zaluska-Kotur

We study the dynamics of a particle moving in one-dimensional Lorentz lattice-gas where particle performs mainly three different kinds of motion {\it viz} ballistic motion, diffusion and confinement. There are two different types of…

Soft Condensed Matter · Physics 2021-07-15 Sameer Kumar , Shradha Mishra

The dynamics of a point charged particle which is driven by a uniform external electric field and moves in a medium of elastic scatterers is investigated. Using rudimentary approaches, we reproduce, in one dimension, the known results that…

Statistical Mechanics · Physics 2009-10-28 P. L. Krapivsky , S. Redner

We introduce a lattice gas model of cluster growth via the diffusive aggregation of particles in a closed system obeying a local, deterministic, microscopically reversible dynamics. This model roughly corresponds to placing the irreversible…

Statistical Mechanics · Physics 2009-10-31 Raissa M. D'Souza , Norman H. Margolus

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 provide a theoretical description of dynamical heterogeneities in glass-forming liquids, based on the premise that relaxation occurs via local rearrangements coupled by elasticity. In our framework, the growth of the dynamical…

Soft Condensed Matter · Physics 2023-11-02 Ali Tahaei , Giulio Biroli , Misaki Ozawa , Marko Popović , Matthieu Wyart

The effects of randomly pinning particles in a model glass-forming fluid are studied, with a focus on the dynamically heterogeneous relaxation in the presence of pinning. We show how four-point dynamical correlations can be analysed in real…

Statistical Mechanics · Physics 2013-10-30 Robert L. Jack , Christopher J. Fullerton
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