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Using the recently developed covariant Ito-Langevin dynamics, we develop a non-equilibrium thermodynamic theory for small systems coupled to multiplicative noises. The theory is based on Ito-calculus, and is fully covariant under…

统计力学 · 物理学 2022-08-16 Mingnan Ding , Xiangjun Xing

A new approach for the analysis of Langevin-type stochastic processes in the presence of strong measurement noise is presented. For the case of Gaussian distributed, exponentially correlated, measurement noise it is possible to extract the…

数据分析、统计与概率 · 物理学 2013-05-29 Bernd Lehle

We present a microscopic theory of cross-correlated noise processes, starting from a Hamiltonian system-reservoir description. In the proposed model, the system is nonlinearly coupled to a reservoir composed of harmonic oscillators, which…

TRION is a sub-mm spatial resolution fast neutron imaging detector, which employs an integrative optical time-of-flight technique. The detector was developed for fast neutron resonance radiography, a method capable of detecting a broad…

仪器与探测器 · 物理学 2009-02-26 D. Vartsky , G. Feldman , I. Mor , M. B. Goldberg , D. Bar , V. Dangendorf

A random multiplicative process with additive noise is described by a Langevin equation. We show that the fluctuation-dissipation relation is satisfied in the Langevin model, if the noise strength is not so strong.

统计力学 · 物理学 2009-11-07 H. Sakaguchi

It is a big challenge in the analysis of experimental data to disentangle the unavoidable measurement noise from the intrinsic dynamical noise. Here we present a general operational method to extract measurement noise from stochastic time…

混沌动力学 · 物理学 2013-01-01 Pedro G. Lind , Maria Haase , Frank Böttcher , Joachim Peinke , David Kleinhans , Rudolf Friedrich

The random nature of spontaneous emission leads to unavoidable fluctuations in a laser's output. This is often included through random Langevin forces in laser rate equations, but this approach falls short for nanolasers. In this paper, we…

量子物理 · 物理学 2026-04-03 Matias Bundgaard-Nielsen , Gian Luca Lippi , Jesper Mørk

Having a priori knowledge of the force acting on a noisy system it is possible to solve the issue relative to the interpretation of multiplicative noise terms (aka Ito-Stratonovich dilemma). We experimentally show that for a Brownian…

软凝聚态物质 · 物理学 2011-07-15 Giovanni Volpe , Laurent Helden , Thomas Brettschneider , Jan Wehr , Clemens Bechinger

The sparsity of the isotope Helium-3, ongoing since 2009, has initiated a new generation of neutron detectors. One particularly promising development line for detectors is the multilayer gaseous detector. In this paper, a stochastic process…

统计理论 · 数学 2018-11-09 Dragi Anevski , Richard Hall-Wilton , Kalliopi Kanaki , Vladimir Pastukhov

Neutron noise in nuclear power reactors refers to the small fluctuations around the average neutron flux at steady state resulting from time-dependent perturbations inside the core. The neutron noise equations in the frequency domain can be…

计算物理 · 物理学 2025-03-04 Hunter Belanger , Davide Mancusi , Amélie Rouchon , Andrea Zoia

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

The friction coefficient of a particle can depend on its position as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation…

软凝聚态物质 · 物理学 2009-11-13 A. W. C. Lau , T. C. Lubensky

This paper deals with the analysis of stochastic systems which can be described by a Langevin equation. By the method presented in this paper drift and diffusion terms of the corresponding Fokker-Planck equation can be extracted from the…

凝聚态物理 · 物理学 2009-10-31 S. Siegert , R. Friedrich , J. Peinke

We develop a systematic approach to the linear-noise approximation for stochastic reaction systems with distributed delays. Unlike most existing work our formalism does not rely on a master equation, instead it is based upon a dynamical…

统计力学 · 物理学 2013-12-13 Tobias Brett , Tobias Galla

Langevin simulation provides an effective way to study collisional effects in beams by reducing the six-dimensional Fokker-Planck equation to a group of stochastic ordinary differential equations. These resulting equations usually have…

加速器物理 · 物理学 2007-05-23 Ji Qiang , Salman Habib

An extension and generalization of a recently presented approach for the analysis of Langevin-type stochastic processes in the presence of strong measurement noise is presented. For a stochastic process in N dimensions which is superimposed…

数据分析、统计与概率 · 物理学 2012-10-23 B. Lehle

Recovering a stochastic process from noisy ensembles of single particle trajectories (SPTs) is resolved here using the Langevin equation as a model. The massive redundancy contained in SPTs data allows recovering local parameters of the…

亚细胞过程 · 定量生物学 2015-11-18 Nathanael Hoze , David Holcman

The kangaroo process (KP) is characterized by various forms of the covariance and can serve as a useful model of random noises. We discuss properties of that process for the exponential, stretched exponential and algebraic (power-law)…

统计力学 · 物理学 2009-11-07 T. Srokowski

We present a numerical method to produce stochastic dynamics according to the generalized Langevin equation with a non-stationary memory kernel. This type of dynamics occurs when a microscopic system with an explicitly time-dependent…

统计力学 · 物理学 2022-11-30 Christoph Widder , Fabian Glatzel , Tanja Schilling

In practice, observations are often contaminated by noise, making the resulting sample covariance matrix to be an information-plus-noise-type covariance matrix. Aiming to make inferences about the spectra of the underlying true covariance…

统计理论 · 数学 2015-08-25 Ningning Xia , Xinghua Zheng
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