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For dynamical systems that can be modelled as asymptotically stable linear systems forced by Gaussian noise, this paper develops methods to infer or estimate their modes from observations in real time. The modes can be real or complex. For…

机器学习 · 统计学 2019-10-30 Robert S. MacKay

A fast method is developed for calculating the Random-Phase-Approximation (RPA) correlation energy for density functional theory. The correlation energy is given by a trace over a projected RPA response matrix and the trace is taken by a…

化学物理 · 物理学 2013-01-01 Daniel Neuhauser , Eran Rabani , Roi Baer

Despite wide-scale deployment of phasor measurement unit technology, locating the sources of low frequency forced oscillations in power systems is still an open research topic. The dissipating energy flow method is one source location…

系统与控制 · 计算机科学 2018-11-12 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn , Bin Wang , Slava Maslennikov

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

统计力学 · 物理学 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

Light-harvesting via the transport and trapping of optically-induced electronic excitations is of fundamental interest to the design of new energy efficient quantum technologies. Using a paradigmatic quantum optical model, we study the…

量子物理 · 物理学 2024-08-08 Jonah S. Peter , Raphael Holzinger , Stefan Ostermann , Susanne F. Yelin

We analyze the phase diffusion, quantum fluctuations and their spectral features of an one-dimensional Bose-Josephson junction (BJJ) coupled to a bosonic heat bath. We show the dependence of the phase diffusion coefficient on the on-site…

原子物理 · 物理学 2023-04-04 Abhik Kumar Saha , Deb Shankar Ray , Bimalendu Deb

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a…

统计力学 · 物理学 2023-03-23 Alex Fontana , Ludovic Bellon

We study chemical oscillators in the presence of phase separation. By imposing timescale separation between slow reactions and fast diffusion, we define a dynamics at phase equilibrium for the relevant degrees of freedom. We demonstrate…

软凝聚态物质 · 物理学 2025-07-23 Jonathan Bauermann , Giacomo Bartolucci , Artemy Kolchinsky

We show how to adapt the approach introduced for viscous damping in [1] to derive the approximate amplitude decay in the case of damping by a force of constant magnitude (sliding friction) and in the case of damping by a force proportional…

经典物理 · 物理学 2025-09-05 Karlo Lelas , Robert Pezer

An effective description of a general class of stochastic phase oscillators is presented. For this, the effective phase velocity is defined either by invariant probability density or via first passage times. While the first approach…

混沌动力学 · 物理学 2015-05-19 Justus T. C. Schwabedal , Arkady Pikovsky

Superconducting microwave circuits incorporating nonlinear devices, such as Josephson junctions, are one of the leading platforms for emerging quantum technologies. Increasing circuit complexity further requires efficient methods for the…

We revisit the computation of the phase space factors (PSF) involved in the positron decay and electron capture (EC) processes for a large number of nuclei of experimental interest. To obtain the electron/positron wave functions needed in…

核理论 · 物理学 2016-07-18 Sabin Stoica , Mihail Mirea , Ovidiu Nitescu , Jameel-Un Nabi , Mavra Ishfaq

We present a new rigorous method for estimating statistical quantities in fluid dynamics such as the (average) energy dissipation rate directly from the equations of motion. The method is tested on shear flow, channel flow,…

流体动力学 · 物理学 2023-07-19 Christian Seis

Circadian clocks are biochemical oscillators that allow organisms to estimate the time of the day. These oscillators are inherently noisy due to the discrete nature of the reactants and the stochastic character of their interactions. To…

生物物理 · 物理学 2018-03-21 Michele Monti , David K. Lubensky , Pieter Rein ten Wolde

Organisms often use cyclic changes in the concentrations of chemicals species to precisely time biological functions. Underlying these biochemical clocks are chemical reactions and transport processes, which are inherently stochastic.…

统计力学 · 物理学 2020-02-06 Clara del Junco , Suriyanarayanan Vaikuntanathan

This letter proposes an analytical approach to formulate the power system oscillation frequency under a large disturbance. A fact is revealed that the oscillation frequency is only the function of the oscillation amplitude when the system's…

系统与控制 · 计算机科学 2015-03-27 Bin Wang , Kai Sun

Non-Markovian effects in the evolution of open quantum systems have recently attracted widespread interest, particularly in the context of assessing the efficiency of energy and charge transfer in nanoscale biomolecular networks and quantum…

化学物理 · 物理学 2016-02-10 S. Oviedo-Casado , J. Prior , A. W. Chin , R. Rosenbach , S. F. Huelga , M. B. Plenio

We develop a general framework for identifying phase reduced equations for finite populations of coupled oscillators that is valid far beyond the weak coupling approximation. This strategy represents a general extension of the theory from…

适应与自组织系统 · 物理学 2021-05-05 Youngmin Park , Dan Wilson

With extensive variational simulations, dissipative quantum phase transitions in the sub-Ohmic spin-boson model are numerically studied in a dense limit of environmental modes. By employing a generalized trial wave function composed of…

统计力学 · 物理学 2023-09-06 Yulong Shen , Nengji Zhou

Filtered Poisson processes are often used as reference models for intermittent fluc- tuations in physical systems. Such a process is here extended by adding a noise term, either as a purely additive term to the process or as a dynamical…

数据分析、统计与概率 · 物理学 2018-05-04 Audun Theodorsen , Odd Erik Garcia , Martin Rypdal