Tuuli Sillanpää,Sanni Nousiainen,Lasse Laurson
Tuuli Sillanpää
Elastic interfaces in quenched random media driven by external forces exhibit a continuous depinning phase transition between pinned and moving phases at a critical external force. Recent work [Phys. Rev. Lett. 129, 175701 (2022)10.1103/Phy...
Data-driven prediction of large-scale spatiotemporal chaos with distributed low-dimensional models [0.03%]
基于分布式低维模型的数据驱动大规模时空混沌预测
C Ricardo Constante-Amores,Alec J Linot,Michael D Graham
C Ricardo Constante-Amores
Spatiotemporal chaos in systems such as turbulent flows often resides on finite-dimensional attractors, enabling the construction of reduced-order models. Unfortunately, as the dimension of these attractors increases it becomes more difficu...
Particles, trajectories, and diffusion: Random walks in cooling granular gases [0.03%]
颗粒、轨迹和扩散:冷却颗粒气体中的随机游走现象
Santos Bravo Yuste,Rubén Gómez González,Vicente Garzó
Santos Bravo Yuste
We study the mean-square displacement (MSD) of a tracer particle diffusing in a granular gas of inelastic hard spheres under homogeneous cooling state. Tracer and granular gas particles are in general mechanically different. Our approach us...
Testing the spin-bath view of self-attention: A Hamiltonian analysis of GPT-2 transformer [0.03%]
基于GPT-2变压器的自注意力的旋轨浴理论检验:哈密顿分析
Satadeep Bhattacharjee,Seung-Cheol Lee
Satadeep Bhattacharjee
The recently proposed physics-based framework by Huo and Johnson [arXiv:2504.04600]. models the attention mechanism of large language models as an interacting two-body spin system, offering a first-principles explanation for phenomena like ...
Designing topological cluster synchronization patterns with the Dirac operator [0.03%]
基于狄拉克算子设计拓扑聚类同步模式
Ahmed A A Zaid,Ginestra Bianconi
Ahmed A A Zaid
Designing stable cluster synchronization patterns is a fundamental challenge in nonlinear dynamics of networks with great relevance to understanding neuronal and brain dynamics. So far, cluster synchronization has been studied exclusively i...
Change in the order of a phase transition in the two-dimensional Potts model with equivalent neighbors [0.03%]
具有等效邻居的二维Potts模型中相变顺序的变化
Petro Sarkanych
Petro Sarkanych
Two-dimensional (2D) Potts model is a classical example when the symmetry of the order parameter controls the order of a phase transition: on a square lattice with nearest-neighbors interaction, when the number of states q is less than or e...
Davide Ghio,Fabrizio Boncoraglio,Lenka Zdeborová
Davide Ghio
Stochastic processes on graphs are a powerful tool for modeling complex dynamical systems such as epidemics. A recent line of work focused on the inference problem where one aims to estimate the state of every node at every time, starting f...
Spatially coherent oscillations in neural fields with inhibition and adaptation. II. Two-dimensional domains [0.03%]
含有抑制和适应的神经场中空间相干振荡 II.二维域
Stefanos E Folias
Stefanos E Folias
We study the bifurcation of stationary activity bumps to localized, spatially coherent oscillations in a family of elementary neural field models involving nonlocal synaptic excitation and inhibition with Heaviside firing rate nonlinearity ...
Exact diagonalization study of energy-level statistics in harmonically confined interacting bosons [0.03%]
调和陷阱中相互作用玻色子的能量级统计的精确对角化研究
Mohd Talib,M A H Ahsan
Mohd Talib
We present an exact diagonalization study of the spectral properties of bosons harmonically confined in a quasi-2D plane and interacting via repulsive Gaussian potential. We consider the lowest 100 energy levels for systems of N=12,16, and ...
Jérémie Klinger,Grant M Rotskoff
Jérémie Klinger
Modern computing architectures are vastly more energy dissipative than fundamental thermodynamic limits suggest, motivating the search for principled approaches to low-dissipation logical operations. We formulate multibit logical gates (bit...