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Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

In a space based gravitational wave antenna like LISA, involving long light paths linking distant emitter/receiver spacecrafts, signal detection amounts to measuring the light-distance variationsthrough a phase change at the receiver. This…

Instrumentation and Methods for Astrophysics · Physics 2019-09-19 Jean-Yves Vinet , Nelson Christensen , Nicoleta Dinu-Jaeger , Michel Lintz , Nary Man , Mikhaël Pichot

First-passage times in random walks have a vast number of diverse applications in physics, chemistry, biology, and finance. In general, environmental conditions for a stochastic process are not constant on the time scale of the average…

Statistical Mechanics · Physics 2018-06-13 Martin Falcke , V. Nicolai Friedhoff

The dependence of random telegraph noise (RTN) amplitude on the gate overdrive in a junctionless field-effect transistor (FinFET) with rectangular and trapezoidal channel (fin) cross sections manufactured using silicon-on-insulator…

Applied Physics · Physics 2024-02-26 M. M. Khalilloev , B. O. Jabbarova , A. A. Nasirov

Nanomechanical resonators promise diverse applications ranging from mass spectrometry to quantum information processing, requiring long phonon lifetimes and frequency stability. Although two-level system (TLS) defects govern dissipation at…

Mesoscale and Nanoscale Physics · Physics 2025-01-15 M. P. Maksymowych , M. Yuksel , O. A. Hitchcock , N. R. Lee , F. M. Mayor , W. Jiang , M. L. Roukes , A. H. Safavi-Naeini

We review three different approaches to investigate the non-equilibrium stochastic dynamics of a Josephson junction affected by L\'evy-distributed current fluctuations. First, we study the lifetime in the metastable superconducting state of…

Superconductivity · Physics 2025-01-30 Claudio Guarcello

We show that the spectral fluctuations of the Two-Body Random Ensemble (TBRE) exhibit 1/f noise. This result supports a recent conjecture stating that chaotic quantum systems are characterized by 1/f noise in their energy level…

Chaotic Dynamics · Physics 2008-12-18 A. Relano , R. A. Molina , J. Retamosa

We investigate the run and tumble particle (RTP), also known as persistent Brownian motion, in one dimension. A telegraphic noise $\sigma(t)$ drives the particle which changes between $\pm 1$ values with some rates. Denoting the rate of…

Statistical Mechanics · Physics 2020-10-07 Prashant Singh , Sanjib Sabhapandit , Anupam Kundu

Stochastic resonance holds much promise for the detection of weak signals in the presence of relatively loud noise. Following the discovery of nondynamical and of aperiodic stochastic resonance, it was recently shown that the phenomenon can…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

Experimental realization and quantitative investigation of common-noise-induced synchronization of limit-cycle oscillations subject to random telegraph signals are performed using an electronic oscillator circuit. Based on our previous…

Adaptation and Self-Organizing Systems · Physics 2009-04-17 Ken Nagai , Hiroya Nakao

Many-body and complex systems, both classical and quantum, often exhibit slow, nonlinear relaxation toward stationary states due to the presence of metastable configurations and environmental fluctuations. Nonlinear relaxation in a wide…

Statistical Mechanics · Physics 2026-02-02 Claudio Guarcello , Alexander A. Dubkov , Davide Valenti , Bernardo Spagnolo

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

Chaotic Dynamics · Physics 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates fluctuations in a class of random dynamical systems, arising from randomly perturbing a…

Dynamical Systems · Mathematics 2025-05-30 Cecilia González-Tokman , Joshua Peters

The overdamped motion of a Brownian particle in randomly switching piece-wise metastable linear potential shows noise enhanced stability (NES): the noise stabilizes the metastable system and the system remains in this state for a longer…

Statistical Mechanics · Physics 2009-11-10 B. Spagnolo , A. A. Dubkov , N. V. Agudov

Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Ya. M. Blanter , M. Buttiker

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

Adaptation and Self-Organizing Systems · Physics 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

Internal mechanism leading to the emergence of the widely occurring 1/f noise still remains an open issue. In this paper we investigate the distinction between internal time of the system and the physical time as a source of 1/f noise.…

Statistical Mechanics · Physics 2016-06-22 J. Ruseckas , R Kazakevicius , B. Kaulakys

We observe rich phenomena of two-level random telegraph noise (RTN) from a commercial bulk 28-nm p-MOSFET (PMOS) near threshold at 14 K, where a Coulomb blockade (CB) hump arises from a quantum dot (QD) formed in the channel. Minimum RTN is…

Applied Physics · Physics 2022-06-22 HeeBong Yang , Marcel Robitaille , Xuesong Chen , Hazem Elgabra , Lan Wei , Na Young Kim

We show that the spatial structure of electromagnetic vacuum fluctuations, predicted by quantum electrodynamics, can be indirectly observed using thermal noise at radio frequencies. Using simple lab equipment like coaxial cables and RF…

Quantum Physics · Physics 2025-05-06 Sun-Hyun Youn

Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense that for small and large intensities of the noise…

Chaotic Dynamics · Physics 2011-06-08 Peter D. Ditlevsen , Holger Braun