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We use a phase-field model to study the effect of confinement on dendritic growth, in a pure material solidifying in an undercooled melt, and in the directional solidification of a dilute binary alloy. Specifically, we observe the effect of…

材料科学 · 物理学 2007-05-23 Badrinarayan P. Athreya , Jonathan A. Dantzig , Shan Liu , Rohit Trivedi

An unbounded one-dimensional solid-on-solid model with integer heights is studied. Unbounded here means that there is no a priori restrictions on the discret e gradient of the interface. The interaction Hamiltonian of the interface is given…

概率论 · 数学 2010-10-11 Gustavo Posta

Topological phase transitions involving crystalline symmetry breaking provide a fertile ground to explore the interplay between symmetry, topology, and emergent quantum phenomena. Recently discovered quasi-one-dimensional topological…

We prove that a deformation of a hypersurface in a $(n+1)$-dimensional real space form ${\mathbb S}^{n+1}_{p,1}$ induce a Hamiltonian variation of the normal congruence in the space ${\mathbb L}({\mathbb S}^{n+1}_{p,1})$ of oriented…

微分几何 · 数学 2017-11-30 Nikos Georgiou , Guillermo Antonio Lobos Villagra

We study the phase structure of a 4D complex scalar field theory with a potential V(Phi) = | Lambda^3 / Phi - Lambda Phi |^2 at zero and at finite temperature. The model is analyzed by mean field and Monte Carlo methods. At zero temperature…

高能物理 - 格点 · 物理学 2008-12-01 Sebastian Scheffler , Ralf Hofmann , Ion-Olimpiu Stamatescu

The topological gap $\Delta = TP_{H_1}^{real} - TP_{H_1}^{shuf}$ -- the excess $H_1$ total persistence of the majority-spin alpha complex over a density-matched null -- encodes critical correlations in spin models. We establish finite-size…

统计力学 · 物理学 2026-04-03 Matthew Loftus

We present simulation results of deposition growth of surfaces in 2, 3 and 4 dimensions for ballistic deposition where overhangs are present, and for restricted solid on solid deposition where there are no overhangs. The values of the…

凝聚态物理 · 物理学 2009-10-22 David Y. K. Ko , Flavio Seno

Using extensive Monte Carlo simulations we study the phase diagram of a symmetric binary (AB) polymer blend confined into a thin film as a function of the film thickness D. The monomer-wall interactions are short ranged and antisymmetric,…

统计力学 · 物理学 2009-10-31 M. Mueller , K. Binder

In this paper, we obtain the necessary equations in a conformal parameter induced by the first or second fundamental forms for a surface that is isometrically immersed in the warped product $\mathbb{R} \times_{f} \mathbb{M}^{2}(\kappa)$…

微分几何 · 数学 2025-03-26 Jairo Delgado , Haimer A. Trejos , Carlos Peñafiel

We study the statistical properties of a single free quantum particle evolving coherently on a discrete lattice in ${\rm d}$ spatial dimensions where every lattice site is additionally subject to continuous measurement of the occupation…

量子物理 · 物理学 2024-08-20 Tony Jin , David G. Martin

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $\beta_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice.…

高能物理 - 理论 · 物理学 2009-10-30 M. Billo' , M. Caselle , A. D'Adda

This article is a part of a series aimed at classifying normal del Pezzo surfaces of Picard rank one over an algebraically closed field of arbitrary characteristic, up to an isomorphism. The key invariant guiding our classification is the…

代数几何 · 数学 2025-08-20 Karol Palka , Tomasz Pełka

We report studies of the behaviour of a single driven domain wall in the 2-dimensional non-equilibrium zero temperature random-field Ising model, closely above the depinning threshold. It is found that even for very weak disorder, the…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Karin Dahmen

We present results from numerical studies of the finite temperature phase transition of the $(3+1)d$ O(N)-symmetric non-linear sigma model for $N=1,2$ and 3. We study the dependence of the width of the 3d critical region on $N$ and we show…

高能物理 - 格点 · 物理学 2009-11-07 Costas G. Strouthos , Ioannis N. Tziligakis

We introduce a one-parameter deformation for one-dimensional (1D) quantum lattice models, the hyperbolic deformation, where the scale of the local energy is proportional to cosh lambda j at the j-th site. Corresponding to a 2D classical…

其他凝聚态物理 · 物理学 2010-10-27 Hiroshi Ueda , Hiroki Nakano , Koichi Kusakabe , Tomotoshi Nishino

We have reexamined data on the possible two dimensional metal-insulator transition at B=0 in Si-MOSFETs using a nonlinear regression method to extract all scaling parameters in a single fit. By keeping track of the magnitude of errors in…

凝聚态物理 · 物理学 2007-05-23 D. Lilliehook , J. E. Furneaux

Effective critical exponents for the \lambda \phi^4 scalar field theory are calculated as a function of the renormalization group block size k_o^{-1} and inverse critical temperature \beta_c. Exact renormalization group equations are…

高能物理 - 理论 · 物理学 2007-05-23 Michael Strickland , Sen-Ben Liao

Neutron diffraction, magnetization and muon spin relaxation measurements, supplemented by density functional theory (DFT) calculations are employed to unravel temperature-driven magnetization reversal (MR) in inverse spinel Co$_2$VO$_4$.…

We investigate the pseudo specific heat of SU(2) gauge theory near the crossover point on $4^4$ to $16^4$ lattices. Several different methods are used to determine the specific heat. The curious finite size dependence of the peak maximum is…

高能物理 - 格点 · 物理学 2009-10-28 J. Engels , T. Scheideler

Height fluctuations of growing surfaces can be characterized by the probability distribution of height in a spatial point at a finite time. Recently there has been spectacular progress in the studies of this quantity for the…

统计力学 · 物理学 2017-01-25 Naftali R. Smith , Baruch Meerson , Pavel V. Sasorov