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Transformer LMs show emergent reasoning that resists mechanistic understanding. We offer a statistical physics framework for continuous-time chain-of-thought reasoning dynamics. We model sentence-level hidden state trajectories as a…

人工智能 · 计算机科学 2025-06-06 Jack David Carson , Amir Reisizadeh

Turbulent mixing layers over cavities can couple with acoustic waves and lead to undesired oscillations. To understand the nonlinear aspects of this phenomenon, a turbulent mixing layer over a deep cavity at Reynolds number 150 000 is…

流体动力学 · 物理学 2019-10-04 Edouard Boujo , Michael Bauerheim , Nicolas Noiray

Recent studies have suggested a new phase in the extended Bose-Hubbard model in one dimension at integer filling [1,2]. In this work, we show that this new phase is phase-separated into a supersolid and superfluid part, generated by…

The dynamic characteristics of near-field levitation bearings have been investigated in this study. Through theoretical analysis, two different types of system stiffness are defined and derived analytically. The dynamic stiffness relates…

应用物理 · 物理学 2021-10-05 Yaoke Wang , Ping Guo

Even a relatively weak drive force is enough to push a typical nanomechanical resonator into the nonlinear regime. Consequently, nonlinearities are widespread in nanomechanics and determine the critical characteristics of…

应用物理 · 物理学 2024-08-27 M. Ma , N. Welles , O. Svitelskiy , C. Yanik , I. I. Kaya , M. S. Hanay , M. R. Paul , K. L. Ekinci

Mechanical deformation of amorphous solids can be described as consisting of an elastic part in which the stress increases linearly with strain, up to a yield point at which the solid either fractures or starts deforming plastically. It is…

无序系统与神经网络 · 物理学 2020-03-25 Baoshuang Shang , Pengfei Guan , Jean-Louis Barrat

We study the nonlinear behaviors of mass-spring systems damped by dry friction using simulation by a nonlinear LC circuit damped by anti-parallel diodes. We show that the differential equation for the electric oscillator is equivalent to…

经典物理 · 物理学 2019-02-20 Qian Xu , Wenkai Fan , Sihui Wang , Hongjian Jiang

We report quantitative experimental measurements of the nonlinear response of a radiofrequency mechanical resonator, with very high quality factor, driven by a large swept-frequency force. We directly measure the noise-free transition…

介观与纳米尺度物理 · 物理学 2009-11-10 J. S. Aldridge , A. N. Cleland

This bachelor project presents a theoretical model describing the resonant frequencies in rectangular and cylindrical tanks. It presents an experimental validation in the rectangular case. The resonant frequencies are determined and then…

流体动力学 · 物理学 2023-10-05 Benjamin Arthur Hugo Meunier , Maxime Christophe Nicolas Roux

Understanding the physics of phase-separation between solid and fluid phases as a mixture mass moves down slope is a long-standing challenge. Here, we propose an extension of the two phase mass flow model (Pudasaini, 2012) by including a…

地球物理 · 物理学 2022-06-17 Shiva P. Pudasaini , Jan-Thomas Fischer

Supercooled liquids and dense colloids exhibit anomalous behaviour known as "spatially heterogeneous dynamics" (SHD), which becomes increasingly pronounced with approach to the glass transition. Recently, SHD has been observed in confined…

软凝聚态物质 · 物理学 2010-12-23 Aaron S. Keys , Adam R. Abate , Sharon C. Glotzer , Douglas J. Durian

The flow of a charged-stabilized suspension through a single constricted channel is studied experimentally by tracking the particles individually. Surprisingly, the behavior is found to be qualitatively similar to that of inertial dry…

流体动力学 · 物理学 2018-02-14 Alvaro Marin , Henri Lhuissier , Massimiliano Rossi , Christian J. Kaehler

The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency,…

流体动力学 · 物理学 2012-12-18 Hanneke Gelderblom , Aaldert G. Zijlstra , Leen van Wijngaarden , Andrea Prosperetti

Nonlinear elastic effects play an important role in the dynamics of microelectromechanical systems (MEMS). Duffing oscillator is widely used as an archetypical model of mechanical resonators with nonlinear elastic behavior. In contrast,…

其他凝聚态物理 · 物理学 2009-11-12 S. Zaitsev , O. Shtempluck , E. Buks , O. Gottlieb

Coherent structures in aspect ratio 2, axis-switching elliptical jets are studied using direct numerical simulation (DNS). Three different datasets are studied with varying near-nozzle forcing levels. Increasing the forcing level causes the…

In scattering experiments, the dynamical structure factor (DSF) characterizes inter-particle correlations and their time evolution. We analytically evaluated the DSF of disordered solids with disorder in the spring constant, by averaging…

无序系统与神经网络 · 物理学 2021-05-21 Bingyu Cui , Alessio Zaccone , Eugene Terentjev

The present study focuses on the development, application, and comparison of three computational frameworks of varying fidelities for assessing the effects of fuel sloshing in internal fuel tanks on the aeroelastic characteristics of a wing…

流体动力学 · 物理学 2019-12-17 Shashank Srivastava , Murali Damodaran , Boo Cheong Khoo

In a confined flow, the performance of a turbine and its near-wake fluid dynamics depend on the blockage ratio, defined as the ratio of the turbine projected area to the channel cross-sectional area. While blockage is understood to increase…

流体动力学 · 物理学 2025-08-20 Aidan Hunt , Ari Athair , Owen Williams , Brian Polagye

This study investigates the coupled deformation and flow behavior of thin, hyper-elastic, porous membranes subjected to pressure loading. Using bulge test experiments, optical deformation measurements, and flow rate characterization, we…

流体动力学 · 物理学 2026-01-19 Alexander Gehrke , Zoe King , Kenneth S. Breuer

The two-phase mixing layer formed between parallel gas and liquid streams is an important fundamental problem in turbulent multiphase flows. The problem is relevant to many industrial applications and natural phenomena, such as air-blast…

流体动力学 · 物理学 2018-12-05 Y. Ling , D. Fuster , G. Tryggvason , S. Zaleski