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We investigate the evolution of density perturbations in dark matter, including the new combined effects of finite number density and non-zero velocity dispersion. Using a truncated BBGKY hierarchy, we derive analytical expressions for the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-09 Mustafa A. Amin , M. Sten Delos , Mehrdad Mirbabayi

We study the stochastic dissipative quasi-geostrophic equation with space-time white noise on the two-dimensional torus. This equation is highly singular and basically ill-posed in its original form. The main objective of the present paper…

Probability · Mathematics 2020-07-30 Yuzuru Inahama , Yoshihiro Sawano

In any realistic quantum metrology scenarios, the ultimate precision in the estimation of parameters is limited not only by the so-called Heisenberg scaling, but also the environmental noise encountered by the underlying system. In the…

Quantum Physics · Physics 2014-12-10 Yao Yao , Li Ge , Xing Xiao , Xiaoguang Wang , C. P. Sun

We investigate the particle production due to parametric resonances in model of inflation where the lightest composite state stemming from the minimal walking technicolor theory plays the role of the inflaton. For model of inflation, the…

High Energy Physics - Phenomenology · Physics 2016-08-25 Phongpichit Channuie , Peeravit Koad

Starting with the Wigner distribution formulation for beam wave propagation in H\"{o}lder continuous non-Gaussian random refractive index fields we show that the wave beam regime naturally leads to the white-noise scaling limit and…

Mathematical Physics · Physics 2007-05-23 Albert C. Fannjiang

Optical multilayer coatings of high-reflective mirrors significantly determine the properties of Fabry-Perot resonators. Thermal (Brownian) noise in these coatings produce excess phase noise which can seriously degrade the sensitivity of…

General Relativity and Quantum Cosmology · Physics 2011-08-08 N. M. Kondratiev , A. G. Gurkovsky , M. L. Gorodetsky

Laser interferometric gravitational-wave detectors implement Fabry-Perot cavities to increase their peak sensitivity. However, this is at cost of reducing their detection bandwidth, which origins from the propagation phase delay of the…

Quantum Physics · Physics 2015-08-12 Yiqiu Ma , Haixing Miao , Chunnong Zhao , Yanbei Chen

We consider the additive white Gaussian noise channels. We prove that the error probability of decoding tends to one exponentially for rates above the capacity and derive the optimal exponent function. We shall demonstrate that the…

Information Theory · Computer Science 2017-02-07 Yasutada Oohama

We study the effect of thermal noise on the propagation speed of a planar flame. We show that this out of equilibrium greatly amplifies the effect of thermal noise to yield macroscopic reductions in the flame speed over what is predicted by…

Fluid Dynamics · Physics 2016-10-26 Hongliang Liu , Jonathan Goodman

We consider quantum state transfer in a fully connected spin network, in which the results indicate that it is impossible to achieve high fidelity by free dynamics. However, the addition of certain kinds of noise can be helpful for this…

Quantum Physics · Physics 2015-06-16 Morteza Rafiee , Cosmo Lupo , Stefano Mancini

We take an analytic approach towards the framework of parametric resonance and apply it on preheating and locked inflation. A two-scalar toy model is analytically solved for the \lambda\phi^2\chi^2 coupling for the homogenous modes. The…

High Energy Physics - Theory · Physics 2011-12-22 Lingfei Wang

We measure frequency- and dissipation-quadrature noise in superconducting lithographed microwave resonators with sensitivity near the vacuum noise level using a Josephson parametric amplifier. At an excitation power of 100~nW, these…

We experimentally study a new kind of parametric noise that is initiated from signal scattering and enhanced through optical parametric amplification. Such scattering noise behaves similarly to the parametric super-fluorescence in the…

Optics · Physics 2023-07-19 Jing Wang , Jingui Ma , Peng Yuan , Daolong Tang , Binjie Zhou , Guoqiang Xie , Liejia Qian

Computer simulations of the Ising model exhibit white noise if thermal fluctuations are governed by Boltzmann's factor alone; whereas we find that the same model exhibits 1/f noise if Boltzmann's factor is extended to include local…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Ralph V. Chamberlin , Derek M. Nasir

Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

We study the evolution of Gravitational Waves (GWs) during and after inflation as well as the resulting observational consequences in a Lorentz-violating massive gravity theory with one scalar (inflaton) and two tensor degrees of freedom.…

General Relativity and Quantum Cosmology · Physics 2018-01-23 Sachiko Kuroyanagi , Chunshan Lin , Misao Sasaki , Shinji Tsujikawa

This article aims to investigate the impact of noise on parameter fitting for an Ornstein-Uhlenbeck process, focusing on the effects of multiplicative and thermal noise on the accuracy of signal separation. To address these issues, we…

Machine Learning · Statistics 2024-07-11 Simon Carter , Lilianne Mujica-Parodi , Helmut H. Strey

In the last few years there has been some interest in WIMP Dark Matter models featuring a velocity dependent cross section through the Sommerfeld enhancement mechanism, which is a nonrelativistic effect due to massive bosons in the dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Steen Hannestad , Thomas Tram

The effective potential of $\lambda\phi^4_{1+3}$ model with both sign of parameter $m^2$ is evaluated at T=0 by means of a simple but effective method for regularization and renormalization. Then at $T\ne 0$, the effective potential is…

High Energy Physics - Theory · Physics 2007-05-23 Guang-jiong Ni , Su-qing Chen

We analytically and numerically investigate the performance of weak-value amplification (WVA) and related parameter estimation methods in the presence of temporally correlated noise. WVA is a special instance of a general measurement…