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We present a general method to study the non-equilibrium behavior of Casimir type fluctuation induced forces for classical free scalar field theories. In particular we analyze the temporal evolution of the force towards its equilibrium…

Statistical Mechanics · Physics 2011-12-30 David S. Dean , Ajay Gopinathan

Recently, a paradoxical effect has been demonstrated in which transport of a free Brownian particle driven by active fluctuations in the form of white Poisson shot noise can be significantly enhanced when it is additionally subjected to a…

Statistical Mechanics · Physics 2025-11-27 K. Białas , J. Spiechowicz

Complex frequency excitations, oscillating signals whose amplitude decreases exponentially in time, have recently been demonstrated to significantly increase the effective quality factor of mechanical resonators. In this work, we…

Classical Physics · Physics 2026-05-14 Wenbo Li , Raj Kumar Pal

The enigmatic stability of population oscillations within ecological systems is analyzed. The underlying mechanism is presented in the framework of two interacting species free to migrate between two spatial patches. It is shown that that…

Soft Condensed Matter · Physics 2015-06-25 Refael Abta , Marcello Schiffer , Nadav M. Shnerb

The simultaneous influence of small damping and white noise on Hamiltonian systems with chaotic motion is studied on the model of periodically kicked rotor. In the region of parameters where damping alone turns the motion into regular, the…

Chaotic Dynamics · Physics 2009-11-10 P. V. Elyutin

We present a systematic study of moment evolution in multidimensional stochastic difference systems, focusing on characterizing systems whose low-order moments diverge in the neighborhood of a stable fixed point. We consider systems with a…

Mathematical Physics · Physics 2009-11-10 Dennis M. Wilkinson

Origin of hydrodynamical instability and turbulence in the Keplerian accretion disc as well as similar laboratory shear flows, e.g. plane Couette flow, is a long standing puzzle. These flows are linearly stable. Here we explore the…

High Energy Astrophysical Phenomena · Physics 2020-07-01 Subham Ghosh , Banibrata Mukhopadhyay

The effect of multiplicative white noise on the resonance capture in non-isochronous systems with time-decaying pumping is investigated. It is assumed that the intensity of perturbations decays with time, and its frequency is asymptotically…

Dynamical Systems · Mathematics 2025-03-11 Oskar A. Sultanov

We report and characterize the emergence of a noise-induced state of quenched disorder in a generic model describing a dense sheet of active polar disks with non-isotropic rotational and translational dynamics. In this state, randomly…

Soft Condensed Matter · Physics 2023-04-10 Guozheng Lin , Zhangang Han , Amir Shee , Cristián Huepe

We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which…

Statistical Mechanics · Physics 2009-11-13 A. Baule , E. G. D. Cohen

We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject to friction, which models energy dissipation due to the…

Probability · Mathematics 2025-10-29 Dmitry Dolgopyat , Bassam Fayad , Leonid Koralov , Shuo Yan

The noise feature of a single mode class-A laser is investigated in the presence (amplifier) and absence (free-running) of an input signal. The Maxwell-Bloch equations of motion have been solved after adding the cavity Langevin force to…

Optics · Physics 2019-12-04 S. Kiashemshaki , J. Jahanpanah

Simple dynamical systems -- with a small number of degrees of freedom -- can behave in a complex manner due to the presence of chaos. Such systems are most often (idealized) limiting cases of more realistic situations. Isolating a small…

Chaotic Dynamics · Physics 2015-04-17 Temple He , Salman Habib

The dynamics of a quantum system with internal degrees of freedom undergoing spontaneous collapse in the position basis are analysed; e.g., neutral mesons or neutrinos. Surprisingly, the value of the Heaviside function $\theta(x)$ at $x=0$…

Quantum Physics · Physics 2016-02-18 K. Simonov , B. C. Hiesmayr

We consider a quantum mechanical system to model the effect of quantum fields on the evolution of the early universe. The system consists of an inverted oscillator bilinearly coupled to a set of harmonic oscillators. We point out that the…

General Relativity and Quantum Cosmology · Physics 2025-09-11 Ezequiel Lozano , Francisco D. Mazzitelli

The noise-enhanced trapping is a surprising phenomenon that has already been studied in chaotic scattering problems where the noise affects the physical variables but not the parameters of the system. Following this research, in this work…

Chaotic Dynamics · Physics 2021-06-30 Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán

We consider a Vlasov equation for a plasma with a given constant magnetic field, and introduce a white noise perturbation of the electric field in the electrostatic approximation, with a discussion of the motivations of such random…

Probability · Mathematics 2025-07-15 Franco Flandoli , Dejun Luo

Synchronization of coupled oscillators is a paradigm for complexity in many areas of science and engineering. Any realistic network model should include noise effects. We present a description in terms of phase and amplitude deviation for…

Adaptation and Self-Organizing Systems · Physics 2019-05-09 Michele Bonnin , Fernando Corinto , Valentina Lanza

The exactly solvable Keldysh model of disordered electron system in a random scattering field with extremely long correlation length is converted to the time-dependent model with extremely long relaxation. The dynamical problem is solved…

Mesoscale and Nanoscale Physics · Physics 2010-11-11 M. N. Kiselev , K. Kikoin

We consider the long-time dynamics of a general class of nonlinear Fokker-Planck equations, describing the large population behavior of mean-field interacting units. The main motivation of this work concerns the case where the individual…

Analysis of PDEs · Mathematics 2020-01-08 Eric Lucon , Christophe Poquet