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The critical points of the two-layer Ising and Potts models for square lattice have been calculated with high precision using probabilistic cellular automata (PCA) with Glauber algorithm. The critical temperature is calculated for the…

计算物理 · 物理学 2007-05-23 Yazdan Asgari , Mehrdad Ghaemi , Mohammad Ghasem Mahjani

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

统计力学 · 物理学 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

We investigate the response to temperature of a well-known colloid-polymer mixture. At room temperature, the critical value of the second virial coefficient of the effective interaction for the Asakura-Oosawa model predicts the onset of…

软凝聚态物质 · 物理学 2017-12-27 Shelley L. Taylor , Robert Evans , C. Patrick Royall

We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers. Using Wang-Landau sampling (WLS) with adaptive windows, we obtain the density of states for…

统计力学 · 物理学 2009-11-13 A. G. Cunha-Netto , Ronald Dickman , A. A. Caparica

Correlation functions and correlation lengths are frequently used to describe phase transitions in quantum systems, but they require an explicit choice of observables. The recently introduced information lattice instead provides an…

强关联电子 · 物理学 2026-05-01 William Skoglund , Elton Giacomelli , Yiqi Yang , Jens H. Bardarson , Erik van Loon

A growing self-avoiding walk (GSAW) is a stochastic process that starts from the origin on a lattice and grows by occupying an unoccupied adjacent lattice site at random. A sufficiently long GSAW will reach a state in which all adjacent…

组合数学 · 数学 2022-07-04 Alexander R. Klotz , Everett Sullivan

We investigated the critical behavior of the Ising model in a triangular lattice with ferro and anti-ferromagnetic interactions modulated by the Fibonacci sequence, by using finite-size numerical simulations. Specifically, we used a replica…

无序系统与神经网络 · 物理学 2018-05-16 T. F. A. Alves , G. A. Alves , M. S. Vasconcelos

The Ising antiferromagnet on a face-centered cubic (fcc) lattice with nearest-neighbor interaction only is well known to exhibit a macroscopic (exponential in the system size $L$) ground-state degeneracy. With increasing temperature, this…

统计力学 · 物理学 2018-12-05 Ronja Stübel , Wolfhard Janke

In earlier work we provided the first evidence that the collapse, or coil-globule, transition of an isolated polymer in solution can be seen in a four-dimensional model. Here we investigate, via Monte Carlo simulations, the canonical…

统计力学 · 物理学 2009-10-31 T. Prellberg , A. L. Owczarek

A charge-density-wave (CDW) is characterized by a dynamical order parameter consisting of a time-dependent amplitude and phase, which manifest as optically-active collective modes of the CDW phase. Studying the behaviour of such collective…

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

无序系统与神经网络 · 物理学 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

We calculate thermal transport in the Falicov-Kimball model on an infinite-coordination-number Bethe lattice. We perform numerical calculations of the thermoelectric characteristics and concentrate on finding materials parameters for which…

强关联电子 · 物理学 2009-11-10 A. V. Joura , D. O. Demchenko , J. K. Freericks

The leading-order effect of interactions on a homogeneous Bose gas is theoretically predicted to shift the critical temperature by an amount \Delta\Tc = # a_{scatt} n^{1/3} T_0 from the ideal gas result T_0, where a_{scatt} is the…

凝聚态物理 · 物理学 2009-11-07 Peter Arnold , Guy D. Moore

QCD with 2 flavours of massless colour-sextet quarks is studied as a possible walking-Technicolor candidate. We simulate the lattice version of this model at finite temperatures near to the chiral-symmetry restoration transition, to…

高能物理 - 格点 · 物理学 2015-09-30 J. B. Kogut , D. K. Sinclair

We show how to achieve lattice-spacing independent results in numerical simulations of finite-temperature stochastic scalar field theories. We generalize the previous approach of hep-lat/9607026 by obtaining results which are independent of…

统计力学 · 物理学 2009-10-31 Carmen J. Gagne , Marcelo Gleiser

Self-avoiding walks on the body-centered-cubic (BCC) and face-centered-cubic (FCC) lattices are enumerated up to lengths 28 and 24, respectively, using the length-doubling method. Analysis of the enumeration results yields values for the…

统计力学 · 物理学 2017-09-13 Raoul D. Schram , Gerard T. Barkema , Rob H. Bisseling , Nathan Clisby

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of…

高能物理 - 格点 · 物理学 2017-01-30 Edward Shuryak

Static and dynamic behavior of short-range Ising-spin glass Cu$_{0.5}$Co$_{0.5}$Cl$_{2}$-FeCl$_{3}$ graphite bi-intercalation compounds (GBIC) has been studied with SQUID DC and AC magnetic susceptibility. The $T$ dependence of the…

无序系统与神经网络 · 物理学 2009-11-10 Itsuko S. Suzuki , Masatsugu Suzuki

The matrix product structure is considered on a regular lattice in the hyperbolic plane. The phase transition of the Ising model is observed on the hyperbolic $(5, 4)$ lattice by means of the corner-transfer-matrix renormalization group…

统计力学 · 物理学 2015-05-19 Takatsugu Iharagi , Andrej Gendiar , Hiroshi Ueda , Tomotoshi Nishino

Extensive Monte Carlo study of two-dimensional Ising model is done to investigate the statistical behavior of spin clusters and interfaces as a function of temperature, $T$. We use a \emph{tie-breaking} rule to define interfaces of spin…

统计力学 · 物理学 2009-07-17 A. A. Saberi