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The periodic Lorentz gas is a paradigmatic model to examine how macroscopic transport emerges from microscopic chaos. It consists of a triangular lattice of circular hard scatterers with a moving point particle. Recently this system became…

Statistical Mechanics · Physics 2019-05-30 S. Gil-Gallegos , R. Klages , J. Solanpää , E. Räsänen

We study the $q$ states Potts model with four site interaction on the square lattice. Based on the asymptotic behaviour of lattice animals, it is argued that when $q\leq 4$ the system exhibits a second-order phase transition, and when $q >…

Statistical Mechanics · Physics 2018-03-14 Nir Schreiber , Reuven Cohen , Simi Haber

We calculate the drag and diffusion coefficients in low temperature QED plasma and go beyond the leading order approximation. The non-Fermi-liquid behavior of these coefficients are clearly revealed. We observe that the subleading…

High Energy Physics - Phenomenology · Physics 2015-05-28 Sreemoyee Sarkar , Abhee K. Dutt-Mazumder

We develop an analytical diffusion-equation-type approximation scheme for the one-dimensional coagulation reaction A+A->A with partial reaction probability on particle encounters which are otherwise hard-core. The new approximation…

Condensed Matter · Physics 2010-10-12 V. Privman , C. R. Doering , H. L. Frisch

When particles/molecules diffuse in systems that contain obstacles, the steady-state regime (during which the mean-square displacement scales linearly with time, $\left< r^2 \right> \sim t$) is preceded by a transient regime. It is common…

Biological Physics · Physics 2021-08-12 Nicholas Ilow , Gary W. Slater

We investigate the phase transition of the four-dimensional single-component $\phi^4$ theory on the lattice using the tensor renormalization group method. We have examined the hopping parameter dependence of the bond energy and the vacuum…

High Energy Physics - Lattice · Physics 2021-09-01 Shinichiro Akiyama , Yoshinobu Kuramashi , Yusuke Yoshimura

An exactly solvable reaction-diffusion model consisting of first-class particles in the presence of a single second-class particle is introduced on a one-dimensional lattice with periodic boundary condition. The number of first-class…

Statistical Mechanics · Physics 2009-11-13 F H Jafarpour , B Ghavami

Understanding of the complex behavior of particles at surfaces requires detailed knowledge of both macroscopic and microscopic processes that take place; also certain processes depend critically on temperature and gas pressure. To link…

Materials Science · Physics 2009-10-31 C. Stampfl , H. J. Kreuzer , S. H. Payne , H. Pfnuer , M. Scheffler

We provide a joint theoretical and experimental investigation of the temperature dependence of the collective oscillations of first sound nature exhibited by a highly elongated harmonically trapped Fermi gas at unitarity, including the…

We study thermodynamics of strongly coupled lattice QCD with two colors of massless staggered fermions as a function of the baryon chemical potential $\mu$ in 3+1 dimensions using a new cluster algorithm. We find evidence that the model…

High Energy Physics - Lattice · Physics 2009-11-11 Shailesh Chandrasekharan , Fu-Jiun Jiang

Towards the feasibility study of the electroweak baryogenesis in realistic technicolor scenario, we investigate the phase structure of (2+Nf)-flavor QCD, where the mass of two flavors is fixed to a small value and the others are heavy. For…

High Energy Physics - Lattice · Physics 2013-06-11 Shinji Ejiri , Norikazu Yamada

We study a 2D lattice model of forward-directed waves in which the integrated intensity for classical waves (or probability for quantum mechanical particles) is conserved. The model describes the time evolution of 1D quantum particle in a…

Condensed Matter · Physics 2009-10-22 Dinko Cule , Yonathan Shapir

The momentum diffusion coefficient for heavy quarks is studied in a deconfined gluon plasma in the static approximation by investigating a correlation function of the color electric field using Monte Carlo techniques. The diffusion…

High Energy Physics - Lattice · Physics 2013-05-30 Debasish Banerjee , Saumen Datta , Rajiv Gavai , Pushan Majumdar

We introduce two simple two-dimensional lattice models to study traffic flow in cities. We have found that a few basic elements give rise to the characteristic phase diagram of a first-order phase transition from a freely moving phase to a…

High Energy Physics - Lattice · Physics 2016-08-14 José A. Cuesta , Froilán C. Martínez , Juan M. Molera , Angel Sánchez Escuela

A two-dimensional periodic optical force field, which combines conservative dipolar forces with vortices from radiation pressure, is proposed in order to influence the diffusion properties of optically susceptible nano-particles. The…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Ivar Zapata , Rafael Delgado-Buscalioni , Juan José Sáenz

Through Monte Carlo simulations and the Associating Lattice Gas Model, the phases of a two-dimensional fluid under hydrophilic confinement are evaluated. The model, in its unconfined version, reproduces the anomalous behavior of water…

Considering one-dimensional nonminimally-coupled lattice gauge theories, a class of nonlocal one-dimensional systems is presented, which exhibits a phase transition. It is shown that the transition has a latent heat, and, therefore, is a…

High Energy Physics - Theory · Physics 2007-05-23 M. Khorrami

The effect of a random transverse field (RTF) on the wetting and layering transitions of a spin-1/2 Ising model, in the presence of bulk and surface fields, is studied within an effective field theory by using the differential operator…

Soft Condensed Matter · Physics 2007-05-23 L. Bahmad , A. Benyoussef , A. El-Kenz , H. Ez-Zahraouy

We study the non-Arrhenius behavior of surface diffusion near the second-order phase transition boundary of an adsorbate layer. In contrast to expectations based on macroscopic thermodynamic effects, we show that this behavior can be…

Soft Condensed Matter · Physics 2009-10-30 I. Vattulainen , J. Merikoski , T. Ala-Nissila , S. C. Ying

We study the two-dimensional Kondo lattice model with an additional Heisenberg exchange between localized spins. In a first step we use mean-field theory with two order parameters. The first order parameter is a complex pairing amplitude…

Strongly Correlated Electrons · Physics 2015-05-27 R. Eder , P. Wrobel