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We study the effects of noise-intensity fluctuations on the stationary and dynamical properties of an overdamped Langevin model with a bistable potential and external periodical driving force. We calculated the stationary distributions,…

Statistical Mechanics · Physics 2011-08-24 Yoshihiko Hasegawa , Masanori Arita

The recently proposed statistical finite element (statFEM) approach synthesises measurement data with finite element models and allows for making predictions about the unknown true system response. We provide a probabilistic error analysis…

Statistics Theory · Mathematics 2025-06-17 Toni Karvonen , Fehmi Cirak , Mark Girolami

Starting from the developed generalized point process model of $1/f$ noise (B. Kaulakys et al, Phys. Rev. E 71 (2005) 051105; cond-mat/0504025) we derive the nonlinear stochastic differential equations for the signal exhibiting 1/f^{\beta}$…

Statistical Mechanics · Physics 2009-11-11 Bronislovas Kaulakys , Julius Ruseckas , Vygintas Gontis , Miglius Alaburda

The physics of particle acceleration in turbulent plasmas is a topic of broad interest, which is making rapid progress thanks to dedicated, large-scale numerical experiments. The first part of this paper presents an effective theory of…

Plasma Physics · Physics 2025-07-08 M. Lemoine

We consider a particle in the over-damped regime at zero temperature under the influence of a sawtooth potential and of a noisy force, which is correlated in time. A current occurs, even if the mean of the noisy force vanishes. We calculate…

Statistical Mechanics · Physics 2009-10-30 Heiner Kohler , Andreas Mielke

An important problem in many-body physics is to reconstruct the spectral density from the imaginary-time domain Green's function. Typically, the imaginary-time Green's function is generated by Monte Carlo methods. As the one-point fermionic…

Strongly Correlated Electrons · Physics 2026-02-24 Fakher Assaad , Johanna Erdmenger , Anika Götz , René Meyer , Martin Rackl , Yanick Thurn

We compute the distribution of the partition functions for a class of one-dimensional Random Energy Models (REM) with logarithmically correlated random potential, above and at the glass transition temperature. The random potential sequences…

Disordered Systems and Neural Networks · Physics 2010-01-18 Yan V Fyodorov , Pierre Le Doussal , Alberto Rosso

Evidence for nonthermal activity in clusters of galaxies is well established from radio observations of synchrotron emission by relativistic electrons, and new windows (in EUV and Hard X-ray ranges) have provided more powerful tools for its…

Astrophysics · Physics 2007-05-23 Vahe' Petrosian

(abridged) We present results of test-particle simulations on both the first and the second order Fermi acceleration at relativistic parallel shock waves. We consider two scenarios for particle injection: (i) particles injected at the shock…

Astrophysics · Physics 2009-11-10 Joni J. P. Virtanen , Rami Vainio

By introducing a new stochastic integral, we investigate the energetics of classical stochastic systems driven by non-Gaussian white noises. In particular, we introduce a decomposition of the total-energy difference into the work and the…

Statistical Mechanics · Physics 2012-05-23 Kiyoshi Kanazawa , Takahiro Sagawa , Hisao Hayakawa

In this paper, we develop a model for the radio and X-ray emissions from Type IIb Supernova (SN IIb) 2011dh in the first 100 days after the explosion, and investigate a spectrum of relativistic electrons accelerated at a strong shock wave.…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Keiichi Maeda

The nonthermal source abundances of elements play a crucial role in the understanding of cosmic ray (CR) phenomena from a few GeV up to several tens of EeV. We present a first systematic approach to describe the change of the abundances…

High Energy Astrophysical Phenomena · Physics 2021-02-03 Björn Eichmann , Jörg P. Rachen

Extreme mass ratio inspirals (EMRIs) are among the primary targets for the Laser Interferometer Space Antenna (LISA). The extreme mass ratios of these systems result in relatively weak GW signals, that can be individually resolved only for…

Astrophysics of Galaxies · Physics 2023-02-15 Federico Pozzoli , Stanislav Babak , Alberto Sesana , Matteo Bonetti , Nikolaos Karnesis

For a wide class of stochastic athermal systems, we derive Langevin-like equations driven by non-Gaussian noise, starting from master equations and developing a new asymptotic expansion. We found an explicit condition whereby the…

Statistical Mechanics · Physics 2015-03-10 Kiyoshi Kanazawa , Tomohiko G. Sano , Takahiro Sagawa , Hisao Hayakawa

In the present paper, we consider the problem of matrix completion with noise. Unlike previous works, we consider quite general sampling distribution and we do not need to know or to estimate the variance of the noise. Two new nuclear-norm…

Statistics Theory · Mathematics 2014-02-06 Olga Klopp

We present a survey of 1D kinetic particle-in-cell simulations of quasi-parallel non-relativistic shocks to identify the environments favorable for electron acceleration. We explore an unprecedented range of shock speeds $v_{\rm sh}\approx…

High Energy Astrophysical Phenomena · Physics 2024-08-30 Siddhartha Gupta , Damiano Caprioli , Anatoly Spitkovsky

We study the acceleration of electrons and positrons at an electromagnetically modified, ultra-relativistic shock in the context of pulsar wind nebulae (PWNe). We simulate the outflow produced by an obliquely rotating pulsar in proximity of…

High Energy Astrophysical Phenomena · Physics 2017-02-08 Simone Giacchè , John G. Kirk

We present an exact functional formalism to deal with linear Langevin equations with arbitrary memory kernels and driven by any noise structure characterized through its characteristic functional. No others hypothesis are assumed over the…

Other Condensed Matter · Physics 2009-11-10 A. A. Budini , M. O. Caceres

A primary characteristic of solar flares is the efficient acceleration of electrons to nonthermal deka-keV energies. While hard X-Ray (HXR) observation of bremsstrahlung emission serves as the key diagnostic of these electrons. In this…

Solar and Stellar Astrophysics · Physics 2025-06-11 Debesh Bhattacharjee , Eduard P. Kontar , Yingjie Luo

Understanding noisy information engines is a fundamental problem of non-equilibrium physics, particularly in biomolecular systems agitated by thermal and active fluctuations in the cell. By the generalized second law of thermodynamics, the…

Statistical Mechanics · Physics 2020-09-01 Govind Paneru , Sandipan Dutta , Takahiro Sagawa , Tsvi Tlusty , Hyuk Kyu Pak