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An inhomogeneous random recursive lattice was constructed from the multi-branched Husimi square lattice. The number of repeating units connected on one vertex was randomly set to be 2 or 3 with a quenched ratio $P_2$ or $P_3$ with…

统计力学 · 物理学 2016-09-21 Ran Huang

Stochastic neurons are efficient hardware accelerators for solving a large variety of combinatorial optimization problems. "Binary" stochastic neurons (BSN) are those whose states fluctuate randomly between two levels +1 and -1, with the…

新兴技术 · 计算机科学 2024-04-03 Rahnuma Rahman , Samiran Ganguly , Supriyo Bandyopadhyay

A promising approach to achieve computational supremacy over the classical von Neumann architecture explores classical and quantum hardware as Ising machines. The minimisation of the Ising Hamiltonian is known to be NP-hard problem for…

量子物理 · 物理学 2020-08-04 Kirill P. Kalinin , Natalia G. Berloff

The development of physical simulators, called Ising machines, that sample from low energy states of the Ising Hamiltonian has the potential to drastically transform our ability to understand and control complex systems. However, most of…

We investigate the stochastic resonance phenomena in the field-driven Ising model on small-world networks. The response of the magnetization to an oscillating magnetic field is examined by means of Monte Carlo dynamic simulations, with the…

无序系统与神经网络 · 物理学 2009-11-07 H. Hong , Beom Jun Kim , M. Y. Choi

Physics-inspired computing paradigms, such as Ising machines, are emerging as promising hardware alternatives to traditional von Neumann architectures for tackling computationally intensive combinatorial optimization problems (COPs). While…

应用物理 · 物理学 2026-03-17 Sai Li , Yihao Zhang , Albert Lee , Zheng Zhu , Lang Zeng , Peng Wang , Lei Gao , Di Wu , Weisheng Zhao

We report a higher-order neuromorphic Ising machine that exhibits superior scalability compared to architectures based on quadratization, while also achieving state-of-the-art quality and reliability in solutions with competitive…

The 1D Ising model is analytically studied in a spatially periodic and oscillatory external magnetic field using the transfer-matrix method. For low enough magnetic field intensities the correlation between the external magnetic field and…

统计力学 · 物理学 2009-10-31 Z. Neda , A. Rusz , E. Ravasz , P. Lakdawala , P. M. Gade

Nanomagnetism concerns the engineering of magnetic interactions in heterostructures that consist of layers of magnetic and non-magnetic materials. Mostly, these interactions are dominated by the minimization of energy. Here, we propose an…

介观与纳米尺度物理 · 物理学 2025-05-21 William Huddie , Laura Filion , Marjolein Dijkstra , Rembert Duine

Recovering dynamical equations from observed noisy data is the central challenge of system identification. We develop a statistical mechanics approach to analyze sparse equation discovery algorithms, which typically balance data fit and…

统计力学 · 物理学 2025-09-16 Andrei A. Klishin , Joseph Bakarji , J. Nathan Kutz , Krithika Manohar

We investigate the nonequilibrium stationary state (NESS) of the two-dimensional Ising model under a stochastic dichotomous modulation of temperature, which alternates between $T_c \pm \delta$ around the critical temperature $T_c$ at a rate…

统计力学 · 物理学 2026-03-18 Debraj Dutta , Ritwick Sarkar , Urna Basu

Optimisation problems in science and engineering typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect to many variables. If the variables are corrupted by noise then this…

量子物理 · 物理学 2016-03-08 Nicholas Chancellor , Szilard Szoke , Walter Vinci , Gabriel Aeppli , Paul A. Warburton

We study by Monte Carlo techniques the evolution of finite two-dimensional Ising systems in oscillating magnetic fields. The phenomenon of stochastic resonance is observed. The characteristic peak obtained for the correlation function…

凝聚态物理 · 物理学 2009-10-22 Zoltan Neda

Spiking neural networks (SNNs) support energy-efficient machine intelligence because event-driven computation and sparse activity map naturally to low-power digital hardware. In practical implementations, however, membrane states, synaptic…

神经与进化计算 · 计算机科学 2026-04-02 Lei Zhang

Optical Ising machines promise to solve complex optimization problems with an optical hardware acceleration advantage. Here we study the ground state properties of a nonlinear optical Ising machine realized by spatial light modulator,…

光学 · 物理学 2023-02-20 Santosh Kumar , Zhaotong Li , Ting Bu , Chunlei Qu , Yuping Huang

We study individual-based dynamics in finite populations, subject to randomly switching environmental conditions. These are inspired by models in which genes transition between on and off states, regulating underlying protein dynamics.…

统计力学 · 物理学 2016-05-18 Peter G. Hufton , Yen Ting Lin , Tobias Galla , Alan J. McKane

How stochastic, microscopic events generate deterministic, macroscopic properties is a fundamental question in physics. We address this question by developing a quantum master equation model for concentrated radical solutions, where random…

化学物理 · 物理学 2026-05-26 Yoshiaki Uchida , Ryohei Kishi

Ising machines (IM) are physics-inspired alternatives to von Neumann architectures for solving hard optimization tasks. By mapping binary variables to coupled Ising spins, IMs can naturally solve unconstrained combinatorial optimization…

新兴技术 · 计算机科学 2025-08-01 Corentin Delacour

Stochastic methods are ubiquitous to a variety of fields, ranging from Physics to Economy and Mathematics. In many cases, in the investigation of natural processes, stochasticity arises every time one considers the dynamics of a system in…

统计力学 · 物理学 2012-08-02 Robert Biele , Roberto D'Agosta

In this work, we study the stochastic thermodynamics of micro-magnetic systems. We first formulate the stochastic dynamics of micro-magnetic systems by incorporating noises into Landau-Lifshitz (LL) equation, which describes the…

统计力学 · 物理学 2024-08-06 Mingnan Ding , Jun Wu , Xiangjun Xing