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Neural networks (NN) are implemented as sub-grid flame models in a large-eddy simulation of a single-injector liquid-propellant rocket engine with the aim to replace a look-up table approach. The NN training process presents an…

流体动力学 · 物理学 2022-01-11 Zeinab Shadram , Tuan M. Nguyen , Athanasios Sideris , William A. Sirignano

The study of integrable systems has led to significant advancements in our understanding of many-body physics. We design a series of numerical experiments to analyze the integrability of a mass-imbalanced two-body system through energy…

量子气体 · 物理学 2024-02-27 Liheng Lang , Qichen Lu , C. M. Dai , Xingbo Wei , Yanxia Liu , Yunbo Zhang

Physics-constrained neural networks are commonly employed to enhance prediction robustness compared to purely data-driven models, achieved through the inclusion of physical constraint losses during the model training process. However, one…

机器学习 · 计算机科学 2024-02-06 Hao Zhou , Sibo Cheng , Rossella Arcucci

We present a multiscale hybrid particle-field scheme for the simulation of relaxation and diffusion behavior of soft condensed matter systems. It combines particle-based Brownian dynamics and field-based local dynamics in an adaptive sense…

软凝聚态物质 · 物理学 2017-09-06 Shuanhu Qi , Friederike Schmid

Understanding microstructure in terms of closed-form expressions is an open challenge in nonequilibrium statistical physics. We propose a simple and generic method that combines particle-resolved simulations, deep neural networks and…

软凝聚态物质 · 物理学 2026-01-12 Writu Dasgupta , Suvendu Mandal , Aritra K. Mukhopadhyay , Benno Liebchen

We show that a neural network, trained on the entanglement spectra of a nearest neighbor Heisenberg chain in a random transverse magnetic field, can be used to efficiently study the ergodic/many-body localized properties of a number of…

无序系统与神经网络 · 物理学 2021-08-13 Cameron Beetar , Jeff Murugan , Dario Rosa

Far-from-equilibrium many-body systems, from soap bubbles to suspensions to polymers, learn the drives that push them. This learning has been observed via thermodynamic properties, such as work absorption and strain. We move beyond these…

统计力学 · 物理学 2020-04-08 Weishun Zhong , Jacob M. Gold , Sarah Marzen , Jeremy L. England , Nicole Yunger Halpern

A simple theoretical approach is used to investigate active colloids at the free interface and near repulsive substrates. We employ dynamical density functional theory to determine the steady-state density profiles in an effective…

软凝聚态物质 · 物理学 2017-02-03 René Wittmann , Joseph M. Brader

We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of…

软凝聚态物质 · 物理学 2009-11-13 Song-Ho Chong , Bongsoo Kim

Disordered many-body systems exhibit a wide range of emergent phenomena across different scales. These complex behaviors can be utilized for various information processing tasks such as error correction, learning, and optimization. Despite…

无序系统与神经网络 · 物理学 2023-08-04 Weishun Zhong

The study of Brownian ratchets has taught how time-periodic driving supports a time-periodic steady state that generates nonequilibrium transport. When a single particle is transported in one dimension, it is possible to rationalize the…

统计力学 · 物理学 2022-06-22 Nils E. Strand , Hadrien Vroylandt , Todd R. Gingrich

Deep learning has shown great potential for modeling the physical dynamics of complex particle systems such as fluids. Existing approaches, however, require the supervision of consecutive particle properties, including positions and…

机器学习 · 计算机科学 2022-06-22 Shanyan Guan , Huayu Deng , Yunbo Wang , Xiaokang Yang

Recent works have shown the promise of learning pre-trained models for 3D molecular representation. However, existing pre-training models focus predominantly on equilibrium data and largely overlook off-equilibrium conformations. It is…

化学物理 · 物理学 2023-08-30 Rui Feng , Qi Zhu , Huan Tran , Binghong Chen , Aubrey Toland , Rampi Ramprasad , Chao Zhang

We propose a new family of neural networks to predict the behaviors of physical systems by learning their underpinning constraints. A neural projection operator lies at the heart of our approach, composed of a lightweight network with an…

神经与进化计算 · 计算机科学 2020-12-15 Shuqi Yang , Xingzhe He , Bo Zhu

As a rough model for the collective motions of cells and organisms we develop here the statistical mechanics of swarms of self-propelled particles. Our approach is closely related to the recently developed theory of active Brownian motion…

统计力学 · 物理学 2007-05-23 Werner Ebeling , Udo Erdmann

While there have been many developments in computational probes of both strongly-correlated molecular systems and machine-learning accelerated molecular dynamics, there remains a significant gap in capabilities in simulating accurate…

化学物理 · 物理学 2025-04-04 Yannic Rath , George H. Booth

We study the consequences of adopting the memory dependent, non-Markovian, physics with the memory-less over-damped approximation usually employed to investigate Brownian particles. Due to the finite correlation time scale associated with…

统计力学 · 物理学 2019-02-05 Eduardo dos S. Nascimento , Welles A. M. Morgado

Neural network modules conditioned by known priors can be effectively trained and combined to represent systems with nonlinear dynamics. This work explores a novel formulation for data-efficient learning of deep control-oriented nonlinear…

动力系统 · 数学 2021-01-07 Elliott Skomski , Soumya Vasisht , Colby Wight , Aaron Tuor , Jan Drgona , Draguna Vrabie

We study the noise delayed decay of unstable nonequilibrium states in nonlinear dynamical systems within the framework of the overdamped Brownian motion model. We give the exact expressions for the decay times of unstable states for…

统计力学 · 物理学 2009-11-10 N. V. Agudov , R. Mannella , A. V. Safonov , B. Spagnolo

We present a diagrammatic formulation of a theory for the time dependence of density fluctuations in equilibrium systems of interacting Brownian particles. To facilitate derivation of the diagrammatic expansion we introduce a basis that…

软凝聚态物质 · 物理学 2009-11-13 Grzegorz Szamel