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Harnessing the quantum computation power of the present noisy-intermediate-size-quantum devices has received tremendous interest in the last few years. Here we study the learning power of a one-dimensional long-range randomly-coupled…

Quantum Physics · Physics 2022-05-03 Wei Xia , Jie Zou , Xingze Qiu , Xiaopeng Li

Machine learning has made important headway in helping to improve the treatment of quantum many-body systems. A domain of particular relevance are correlated inhomogeneous systems. What has been missing so far is a general, scalable…

Quantum Physics · Physics 2026-02-10 Alex Blania , Sandro Herbig , Fabian Dechent , Evert van Nieuwenburg , Florian Marquardt

Molecular dynamics (MD) simulation, which is considered an important tool for studying physical and chemical processes at the atomic scale, requires accurate calculations of energies and forces. Although reliable energies and forces can be…

Materials Science · Physics 2021-12-06 Van-Quyen Nguyen , Viet-Cuong Nguyen , Tien-Cuong Nguyen , Tien-Lam Pham

Conservation of energy is at the core of many physical phenomena and dynamical systems. There have been a significant number of works in the past few years aimed at predicting the trajectory of motion of dynamical systems using neural…

Machine Learning · Computer Science 2022-08-05 Yi Heng Lim , Muhammad Firmansyah Kasim

We introduce thermodynamic networks, a general framework for autonomous, physics-based computation using non-equilibrium steady states. These networks are modeled as a collection of finite-size reservoirs that exchange conserved…

The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work…

Quantum Physics · Physics 2025-12-23 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

In recent years, machine learning models, chiefly deep neural networks, have revealed suited to learn accurate energy-density functionals from data. However, problematic instabilities have been shown to occur in the search of ground-state…

Computational Physics · Physics 2024-09-26 Emanuele Costa , Giuseppe Scriva , Sebastiano Pilati

Time-lapse microscopy imaging provides direct access to the dynamics of soft and living systems. At mesoscopic scales, such microscopy experiments reveal intrinsic fluctuations, which may have both thermal and non-equilibrium origins. These…

Biological Physics · Physics 2020-12-02 F. S. Gnesotto , G. Gradziuk , P. Ronceray , C. P. Broedersz

When can we map a classical density profile to an external potential? In equilibrium, without time dependence, the one-body density is known to specify the external potential that is applied to the many-body system. This mapping from a…

Mathematical Physics · Physics 2025-03-20 Michael Andreas Klatt , Christian Bair , Hartmut Löwen , René Wittmann

Recent advances in machine-learned interatomic potentials largely benefit from the atomistic representation and locally invariant many-body descriptors. It was however recently argued that including three- (or even four-) body features is…

Chemical Physics · Physics 2021-10-14 Yaolong Zhang , Junfan Xia , Bin Jiang

We give an introductory account of the recent hyperdensity functional theory for the equilibrium statistical mechanics of soft matter systems [F. Samm\"uller et al., Phys. Rev. Lett. 133, 098201 (2024); 10.1103/PhysRevLett.133.098201].…

Soft Condensed Matter · Physics 2025-02-27 Florian Sammüller , Matthias Schmidt

Many estimates for the magnetic relaxation time of magnetic nanoparticle systems neglect the effect of the applied field strength. This is despite many applications of magnetic nanoparticles involving relaxation dynamics under the influence…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Jonathon C. Davidson , Nicholas R. Anderson , Karen L. Livesey

Machine learning is used to approximate density functionals. For the model problem of the kinetic energy of non-interacting fermions in 1d, mean absolute errors below 1 kcal/mol on test densities similar to the training set are reached with…

Computational Physics · Physics 2015-06-03 John C. Snyder , Matthias Rupp , Katja Hansen , Klaus-Robert Müller , Kieron Burke

We present a predictive local field theory for the nonequilibrium dynamics of interacting active Brownian particles with a spherical shape in two spatial dimensions. The theory is derived by a rigorous coarse-graining starting from the…

Soft Condensed Matter · Physics 2020-05-26 Jens Bickmann , Raphael Wittkowski

Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path…

Soft Condensed Matter · Physics 2022-08-09 Laura Tociu , Gregory Rassolov , Étienne Fodor , Suriyanarayanan Vaikuntanathan

Identifying the dynamics of physical systems requires a machine learning model that can assimilate observational data, but also incorporate the laws of physics. Neural Networks based on physical principles such as the Hamiltonian or…

Machine Learning · Statistics 2021-11-22 Jonas Eichelsdörfer , Sebastian Kaltenbach , Phaedon-Stelios Koutsourelakis

We have considered the underdamped motion of a Brownian particle in the presence of a correlated external random force. The force is modeled by an Ornstein-Uhlenbeck process. We investigate the fluctuations of the work done by the external…

Statistical Mechanics · Physics 2014-11-19 Arnab Pal , Sanjib Sabhapandit

Understanding the dynamics of nonequilibrium quantum many-body systems is an important research topic in a wide range of fields across condensed matter physics, quantum optics, and high-energy physics. However, numerical studies of…

Strongly Correlated Electrons · Physics 2024-12-11 Yuanran Zhu , Jia Yin , Cian C. Reeves , Chao Yang , Vojtech Vlcek

We perform a coarse-graining analysis of the paradigmatic active matter model, Active Brownian Particles, yielding a continuum description in terms of balance laws for mass, linear and angular momentum, and energy. The derivation of the…

Soft Condensed Matter · Physics 2019-04-30 Jeffrey M. Epstein , Katherine Klymko , Kranthi K. Mandadapu

We aim to clarify confusions in the literature as to whether or not dynamical density functional theories for the one-body density of a classical Brownian fluid should contain a stochastic noise term. We point out that a stochastic as well…

Statistical Mechanics · Physics 2007-05-23 Andrew J. Archer , Markus Rauscher
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