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Diffusive transport is a ubiquitous phenomenon, yet the microscopic origin of diffusion in interacting physical systems remains a challenging question, irrespective of whether quantum effects are dominant or not. In this work, we study…

统计力学 · 物理学 2026-04-28 Jiaozi Wang , Sourav Nandy , Markus Kraft , Tomaž Prosen , Robin Steinigeweg

In the present work, we investigate the effects of long-range interactions on the phase transitions of two-dimensional ferromagnetic models with single-ion anisotropy at zero and finite temperatures. The Hamiltonian is given by…

强关联电子 · 物理学 2015-06-19 A. R. Moura

Dynamic hysteresis, the rate-dependent lagged response of materials to external fields, underpins applications from energy-efficient transformers to gas storage systems. A fundamental yet unresolved question is how the hysteresis loop area…

统计力学 · 物理学 2026-03-26 Yachao Sun , Xuesong Li , Yanting Wang , Jing Zhou , Haiyang Bai , Yuliang Jin

We study a general class of interacting particle systems over a countable state space $V$ where on each site $x \in V$ the particle mass $\eta(x) \geq 0$ follows a stochastic differential equation. We construct the corresponding Markovian…

概率论 · 数学 2023-08-16 Viktor Bezborodov , Luca Di Persio , Martin Friesen , Peter Kuchling

Typically two particles (spins) could be maximally entangled at zero temperature, and for a certain temperature the phenomenon of entanglement vanishes at the threshold temperature. For the Heisenberg coupled model or even the Ising model…

强关联电子 · 物理学 2014-04-09 M. Rojas , S. M. de Souza , Onofre Rojas

The apparent universality of Bloch's T^{3/2}-law for the temperature dependence of the spontaneous magnetization, and of generalizations thereof, is considered. It is argued that in the derivation one should not only consider the exchange…

统计力学 · 物理学 2009-11-10 U. Krey

We present the numerical results for low temperature behavior of the transverse-field Ising model on a frustrated checkerboard lattice, with focus on the effect of both quantum and thermal fluctuations. Applying the recently-developed…

强关联电子 · 物理学 2012-10-23 H. Ishizuka , Y. Motome , N. Furukawa , S. Suzuki

A driven Ising model with friction due to magnetic correlations has recently been proposed by Kadau et al. (Phys. Rev. Lett. 101, 137205 (2008)). The non-equilibrium phase transition present in this system is investigated in detail using…

统计力学 · 物理学 2010-01-05 Alfred Hucht

In the paper a study of a model magnetoelastic solid system is presented. The system of interest is a mean-field magnet with nearest-neighbour ferromagnetic interactions and the underlying s.c. crystalline lattice with the long-range Morse…

统计力学 · 物理学 2017-09-15 K. Szałowski , T. Balcerzak , M. Jaščur

Tensor-network methods are used to perform a comparative study of the two-dimensional classical Heisenberg and $\mathrm{RP}^2$ models. We demonstrate that uniform matrix product states (MPS) with explicit $\mathrm{SO}(3)$ symmetry can probe…

We investigate the off-equilibrium dynamics of a classical spin system with $O(n)$ symmetry in $2< D <4$ spatial dimensions and in the limit $n\to \infty$. The system is set up in an ordered equilibrium state is and subsequently driven out…

统计力学 · 物理学 2018-11-22 Stefano Scopa , Sascha Wald

According to extensive experimental findings, the Ginzburg temperature $t_{G}$ for ionic fluids differs substantially from that of nonionic fluids [Schr\"oer W., Weig\"{a}rtner H. 2004 {\it Pure Appl. Chem.} {\bf 76} 19]. A theoretical…

软凝聚态物质 · 物理学 2012-07-02 O. V. Patsahan , J. -M. Caillol , I. M. Mryglod

In spin-crossover materials, the volume of a molecule changes depending on whether it is in the high-spin (HS) or low-spin (LS) state. This change causes distortion of the lattice. Elastic interactions among these distortions play an…

材料科学 · 物理学 2009-11-13 Seiji Miyashita , Yusuké Konishi , Masamichi Nishino , Hiroko Tokoro , Per Arne Rikvold

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

高能物理 - 理论 · 物理学 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

无序系统与神经网络 · 物理学 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

The crossover between short-range and long-range (LR) universal behaviors remains a central theme in the physics of long-range interacting systems. The competition between LR coupling and the Berezinskii-Kosterlitz-Thouless mechanism makes…

统计力学 · 物理学 2025-11-14 Tianning Xiao , Dingyun Yao , Chao Zhang , Zhijie Fan , Youjin Deng

The long-range interaction can fundamentally alter properties in gapped topological phases such as emergent massive edge modes. However, recent research has shifted attention to topological nontrivial critical points or phases, and it is…

强关联电子 · 物理学 2024-08-16 Wen-Hao Zhong , Wei-Lin Li , Yong-Chang Chen , Xue-Jia Yu

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 consider a system of hierarchical interacting spins under dynamics of spin-flip type with a ferromagnetic mean field interaction, scaling with the hierarchical distance, coupled with a system of linearly interacting hierarchical…

概率论 · 数学 2019-10-31 Paolo Dai Pra , Marco Formentin , Guglielmo Pelino

We consider the single-spin-flip dynamics of the random-field Ising model on a Bethe lattice at zero temperature in the presence of a uniform external field. We determine the average magnetization as the external field is varied from minus…

统计力学 · 物理学 2009-10-28 Deepak Dhar , Prabodh Shukla , James P. Sethna