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We consider polynomial long-range Ising models in one dimension, with ferromagnetic pair interactions decaying with power $2-\alpha$ (for $0 \leq \alpha < 1$), and prepared with randomly chosen boundary conditions. We show that at low…

数学物理 · 物理学 2024-05-17 Eric O. Endo , Aernout C. D. van Enter , Arnaud Le Ny

Motivated by recent experiments on cuprates with low-dimensional magnetic interactions, a new class of two-dimensional Ising models with short-range interactions and mobile defects is introduced and studied. The non-magnetic defects form…

凝聚态物理 · 物理学 2009-11-07 W. Selke , V. L. Pokrovsky , B. Buechner , T. Kroll

We investigate a two-dimensional Ising model with long-range interactions that emerge from a generalization of the magnetic dipolar interaction in spin systems with in-plane spin orientation. This interaction is, in general, anisotropic…

统计力学 · 物理学 2009-11-10 Daniel Grüneberg , Alfred Hucht

Experiments and computer simulation studies have revealed existence of rich dynamics in the orientational relaxation of molecules in confined systems such as water in reverse micelles, cyclodextrin cavities and nano-tubes. Here we introduce…

统计力学 · 物理学 2015-05-18 Rajib Biswas , Biman Bagchi

While spin squeezing has been traditionally considered in all-to-all interacting models, recent works have shown that it can also occur in systems with power-law interactions, enabling direct tests in Rydberg atoms, trapped ions, ultracold…

量子物理 · 物理学 2026-01-29 Samuel E. Begg , Bishal K. Ghosh , Chong Zu , Chuanwei Zhang , Michael Kolodrubetz

We investigate the critical behavior of the one-dimensional Ising model with long-range interactions using the functional renormalization group in the local potential approximation (LPA), and compare our findings with Dyson's hierarchical…

统计力学 · 物理学 2025-12-23 Valerio Pagni , Guido Giachetti , Andrea Trombettoni , Nicolò Defenu

We study persistence in one-dimensional ferromagnetic and anti-ferromagnetic nearest-neighbor Ising models with parallel dynamics. The probability P(t) that a given spin has not flipped up to time t, when the system evolves from an initial…

统计力学 · 物理学 2009-11-07 G. I. Menon , P. Ray , P. Shukla

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional weakly site-diluted Ising model with spin concentrations $p=0.95$ and 0.8 at criticality. In contrast to studies of the critical behavior of the…

无序系统与神经网络 · 物理学 2010-05-31 Pavel V. Prudnikov , Vladimir V. Prudnikov , Aleksandr S. Krinitsyn , Andrei N. Vakilov , Evgenii A. Pospelov

A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the…

统计力学 · 物理学 2007-05-23 S. V. Belim

While the kinetics of domain growth, even for conserved order-parameter dynamics, is widely studied for short-range inter-particle interactions, systems having long-range interactions are receiving attention only recently. Here we present…

统计力学 · 物理学 2024-10-18 Soumik Ghosh , Subir K. Das

Accurate numerical results are presented for the three-dimensional equivalent-neighbor model on a cubic lattice, for twelve different interaction ranges (coordination number between 18 and 250). These results allow the determination of the…

统计力学 · 物理学 2009-10-31 Erik Luijten

Isomorphs are curves in the thermodynamic phase diagram along which structure and dynamics are invariant to a good approximation. There are two main ways to trace out isomorphs, the configurational-adiabat method and the…

软凝聚态物质 · 物理学 2023-04-21 Zahraa Sheydaafar , Jeppe C. Dyre , Thomas B. Schrøder

Coulomb drag experiments in which the inter-layer resistivity is measured are important as they provide information on the Coulomb interactions in bilayer systems. When the layer densities are low correlation effects become significant to…

介观与纳米尺度物理 · 物理学 2009-11-13 R. Asgari , B. Tanatar , B. Davoudi

A system of identical bosons with short-range (contact) interactions is studied. Their motion is confined to one dimension by a tight lateral trapping potential and, additionally, subject to a weak harmonic confinement in the longitudinal…

量子气体 · 物理学 2015-05-20 Igor E. Mazets

While obtaining theoretical predictions for dissipation during sliding motion is a difficult task, one regime that allows for analytical results is the so-called noncontact regime, where a probe is weakly interacting with the surface over…

材料科学 · 物理学 2021-12-08 Miru Lee , Richard L. C. Vink , Cynthia A. Volkert , Matthias Krüger

We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance $x$ as $\sim x^{-d-\sigma}$ in a $d$-dimensional space. It is known to belong to a new long-range random…

统计力学 · 物理学 2025-12-30 D. Shapoval , M. Dudka

Using Monte Carlo simulations we show that the autocorrelation function $C(t)$ in the d=3 Ising model with a plaquette interaction has a stretched-exponential decay in a supercooled liquid phase. Such a decay characterizes also some…

统计力学 · 物理学 2015-06-11 Adam Lipowski

A one-dimensional diagonal tight binding electronic system with correlated disorder is investigated. The correlation of the random potential is exponentially decaying with distance and its correlation length diverges as the concentration of…

无序系统与神经网络 · 物理学 2009-11-11 I Avgin

We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range…

统计力学 · 物理学 2025-12-10 Fabio Müller , Henrik Christiansen , Wolfhard Janke

The trapped ion quantum simulator has demonstrated qualitative properties of different physical models for up to tens of ions. In particular, a linear ion chain naturally hosts long-range Ising interactions under the laser driving, which…

量子物理 · 物理学 2023-01-02 B. -W. Li , Y. -K. Wu , Q. -X. Mei , R. Yao , W. -Q. Lian , M. -L. Cai , Y. Wang , B. -X. Qi , L. Yao , L. He , Z. -C. Zhou , L. -M. Duan