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Immiscible fluid displacement in porous media occurs in several natural and industrial processes. For example, during petroleum extraction from porous rock reservoirs, water is used to displace oil. In this paper, we investigate primary…

Fluid Dynamics · Physics 2022-02-03 M. Sedahmed , R. C. V. Coelho , H. A. Warda

We propose a rigorous approach of Semi-Infinite lattice systems illustrated with the study of surface transitions of the semi-infinite Potts model.

Statistical Mechanics · Physics 2009-11-10 Christophe Dobrovolny , Lahoussine Laanait , Jean Ruiz

Through the Monte Carlo simulation of the three-dimensional, three-state Potts model, which is a paradigm of finite-temperature pure gauge QCD, we study the fluctuations of generalized susceptibilities near the temperatures of external…

High Energy Physics - Lattice · Physics 2015-06-22 Xue Pan , Mingmei Xu , Yuanfang Wu

We study the phase diagram of the ferromagnetic $q$-state Potts model on the various three-dimensional lattices for integer and non-integer values of $q>1$. Our approach is based on a thermodynamically self-consistent Ornstein-Zernike…

Statistical Mechanics · Physics 2007-05-23 S. Grollau , M. L. Rosinberg , G. Tarjus

Possible variations in the dynamical behaviour of LiYF$_{4}$ due to its structural changes following several pressure-induced phase transitions are examined by making use of the complementary techniques of quasi-harmonic lattice dynamics…

Materials Science · Physics 2007-05-23 A. Sen , S. L. Chaplot , R. Mittal

We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri

The physical behaviour of a class of mesoscopic models for multiphase flows is analyzed in details near interfaces. In particular, an extended pseudo-potential method is developed, which permits to tune the equation of state and surface…

Cellular Automata and Lattice Gases · Physics 2015-06-26 M. Sbragaglia , R. Benzi , L. Biferale , S. Succi , K. Sugiyama , F. Toschi

Lattice quantum chromodynamics (LQCD) calculations with physical pion mass would revolutionize nuclear physics by enabling predictions based on the fundamental theory of the strong force. To bridge the gap between finite-volume LQCD results…

Nuclear Theory · Physics 2025-09-10 Tafat Weiss-Attia , Martin Schäfer , Betzalel Bazak

In this paper we investigate the approximation of continuous functions on the Wasserstein space by smooth functions, with smoothness meant in the sense of Lions differentiability. In particular, in the case of a Lipschitz function we are…

Probability · Mathematics 2023-08-14 Andrea Cosso , Mattia Martini

The Potts model is one of the most popular spin models of statistical physics. The prevailing majority of work done so far corresponds to the lattice version of the model. However, many natural or man-made systems are much better described…

Statistical Mechanics · Physics 2013-07-16 M. Krasnytska , B. Berche , Yu. Holovatch

The first-order phase transition in the three-state Potts model with long-range interactions decaying as $1/r^{1+\sigma}$ has been examined by numerical simulations using recently proposed Luijten-Bl\"ote algorithm. By applying scaling…

Statistical Mechanics · Physics 2009-10-31 Zvonko Glumac , Katarina Uzelac

The particles on demand (PonD) method is a new kinetic theory model that allows for simulation of high speed compressible flows. While standard Lattice-Boltzmann is limited by a fixed reference frame, significantly reducing the range of…

Fluid Dynamics · Physics 2023-06-07 Abhimanyu Bhadauria , Ilya Karlin

We simulate the compression of a two-component Lennard-Jones liquid at a variety of constant temperatures using a molecular dynamics algorithm in an isobaric-isothermal ensemble. The viscosity of the liquid increases with pressure,…

chem-ph · Physics 2009-10-22 Shelly L. Shumway , Andrew S. Clarke , Hannes Jónsson

We study pressurised self-avoiding ring polymers in two dimensions using Monte Carlo simulations, scaling arguments and Flory-type theories, through models which generalise the model of Leibler, Singh and Fisher [Phys. Rev. Lett. Vol. 59,…

Statistical Mechanics · Physics 2011-05-12 Mithun K. Mitra , Gautam I. Menon , R. Rajesh

An efficient route to the displacement field around a rigid spherical inclusion in an infinitely extended homogeneous elastic medium is presented in a slightly alternative way when compared to some common textbook methods. Moreover, two…

Soft Condensed Matter · Physics 2019-05-10 Mate Puljiz , Andreas M. Menzel

There have been many parallel streams of research studying order isomorphisms of some specific sets $G$ of functions from a set $X$ to $\mathbb{R}\cup\{\pm\infty\}$, such as the sets of convex or Lipschitz functions. We develop in this…

Functional Analysis · Mathematics 2025-08-12 Pierre-Cyril Aubin-Frankowski , Stéphane Gaubert

We study dynamic behavior of Potts model with invisible states near the first-order phase transition temperature. We focus on melting process starting from the perfect ordered state. This model is regarded as a standard model to analyze…

Statistical Mechanics · Physics 2011-09-30 Shu Tanaka , Ryo Tamura

One-dimensional systems---ranging from travelling light to circuit cables and from DNA to superstrings---are ubiquitous and critically important to the human knowledge of the universe. However, our engagement with one-dimensional systems in…

Statistical Mechanics · Physics 2020-08-18 Weiguo Yin

We study the phase coherence and visibility of trapped atomic condensates on one-dimensional optical lattices, by means of quantum Monte-Carlo simulations. We obtain structures in the visibility similar to the kinks recently observed…

Other Condensed Matter · Physics 2017-09-11 P. Sengupta , M. Rigol , G. G. Batrouni , P. J. H. Denteneer , R. T. Scalettar

We investigate the quench dynamics of the dipolar bosons in two dimensional optical lattice of square geometry using the time dependent Gutzwiller method. The system exhibits different density orders like the checkerboard and the striped…

Quantum Gases · Physics 2021-06-22 Hrushikesh Sable , Deepak Gaur , Soumik Bandyopadhyay , Rejish Nath , D. Angom
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