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Large Transformer models routinely achieve state-of-the-art results on a number of tasks but training these models can be prohibitively costly, especially on long sequences. We introduce two techniques to improve the efficiency of…

机器学习 · 计算机科学 2020-02-19 Nikita Kitaev , Łukasz Kaiser , Anselm Levskaya

Metabolic scaling is one of the most important patterns in biology. Theory explaining the 3/4-power size-scaling of biological metabolic rate does not predict the non-linear scaling observed for smaller life forms. Here we present a new…

生物物理 · 物理学 2024-03-04 Mark E. Ritchie , Christopher P. Kempes

We study various models of independent particles hopping between energy `traps' with a density of energy barriers $\rho(E)$, on a $d$ dimensional lattice or on a fully connected lattice. If $\rho(E)$ decays exponentially, a true dynamical…

凝聚态物理 · 物理学 2009-10-28 Cécile Monthus , Jean-Philippe Bouchaud

We consider the context of molecular motors modelled by a diffusion process driven by the gradient of a weakly periodic potential that depends on an internal degree of freedom. The switch of the internal state, that can freely be…

概率论 · 数学 2024-02-02 Serena Della Corte , Richard C. Kraaij

GB migration plays a central role in microstructural evolution. Many experiments and simulations have been conducted to clarify the relationships between GB velocity and various parameters to tailor GB networks. However, the complexity of…

材料科学 · 物理学 2024-12-13 Tingting Yu

We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

无序系统与神经网络 · 物理学 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

Many cell types display random motility on two-dimensional substrates, but crawl persistently in a single direction when confined in a microchannel or on an adhesive micropattern. Does this imply that the motility mechanism of confined…

生物物理 · 物理学 2014-06-13 Brian A. Camley , Wouter-Jan Rappel

Adhesive cell-substrate interactions are crucial for cell motility and are responsible for the necessary traction that propels cells. These interactions can also change the shape of the cell, analogous to liquid droplet wetting on adhesive…

Amorphous solids tend to present an abundance of soft elastic modes, which diminish their transport properties, generate heterogeneities in their elastic response, and affect non-linear processes like thermal activation of plasticity. This…

软凝聚态物质 · 物理学 2016-06-22 Le Yan , Eric DeGiuli , Matthieu Wyart

We introduce a model for translational molecular motors to demonstrate that a multivalent catalytic walker with flexible, uncoordinated legs can transform the free energy of surface-bound substrate sites into mechanical work and undergo…

生物物理 · 物理学 2014-11-18 Mark J. Olah , Darko Stefanovic

Metastable transitions in Langevin dynamics can exhibit rich behaviors that are markedly different from its overdamped limit. In addition to local alterations of the transition path geometry, more fundamental global changes may exist. For…

计算物理 · 物理学 2018-05-28 Andre Souza , Molei Tao

Helical motifs are ubiquitious in macromolecular systems. The mechanism of spontaneous emergence of helicity is unknown, especially in cases where torsional interactions are absent. Emergence of helical order needs coordinated organization…

软凝聚态物质 · 物理学 2023-04-13 Debarshi Mitra , Apratim Chatterji

We study the counterpart to the multi-photon down conversion in the quantised motion of a trapped atom. The Lamb-Dicke approximation leads to a divergence of the mean motional excitation in a finite interaction time for k-quantum down…

量子物理 · 物理学 2016-09-08 S. Wallentowitz , W. Vogel , P. L. Knight

A mode-coupling theory for dense polymeric systems is developed which unifyingly incorporates the segmental cage effect relevant for structural slowing down and polymer chain conformational degrees of freedom. An ideal glass transition of…

软凝聚态物质 · 物理学 2009-11-07 S. -H. Chong , M. Fuchs

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

无序系统与神经网络 · 物理学 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

This work reports rich localization-delocalization transitions in a quasiperiodic ladder, of which the two legs are subject to the same quasiperiodic onsite potential but can be shifted laterally relative to each other. It is found that the…

无序系统与神经网络 · 物理学 2026-05-26 Bing Shao , Guangjie Zhang , Longwen Zhou , Jiangbin Gong , Weiwei Zhu

Microorganisms are rarely found in Nature swimming freely in an unbounded fluid. Instead, they typically encounter other organisms, hard walls, or deformable boundaries such as free interfaces or membranes. Hydrodynamic interactions between…

流体动力学 · 物理学 2013-10-21 Marcelo A. Dias , Thomas R. Powers

LIPM is everywhere in legged-locomotion control, but almost always as a modeling choice rather than as something the controller's cost actually prefers. This note tries to make that link more explicit. Working from a small centroidal OCP…

机器人学 · 计算机科学 2026-05-08 Lingxue Lyu , Zihui Liu

In contrast to the static operations of conventional semiconductor devices, the dynamic conformational freedom in molecular devices opens up the possibility of using molecules as new types of devices such as a molecular conformational…

介观与纳米尺度物理 · 物理学 2009-07-02 Daijiro Nozaki , Gianaurelio Cuniberti

The time evolution of many physical, chemical, and biological systems can be modelled by stochastic transitions between the minima of the potential energy surface describing the system of interest. We show that in cases where there are two…

统计力学 · 物理学 2024-09-11 S. P. Fitzgerald , A. Bailey Hass , G. Díaz Leines , A. J. Archer