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Near a bifurcation point a system experiences critical slowing down. This leads to scaling behavior of fluctuations. We find that a periodically driven system may display three scaling regimes and scaling crossovers near a saddle-node…

介观与纳米尺度物理 · 物理学 2009-11-10 D. Ryvkine , M. I. Dykman , B. Golding

Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped. The activation energy of escape scales as a power of the…

介观与纳米尺度物理 · 物理学 2009-11-11 M. I. Dykman , I. B. Schwartz , M. Shapiro

We consider decay of metastable states of forced vibrations of a quantum oscillator close to bifurcation points, where dissipation becomes effectively strong. We show that decay occurs via quantum activation over an effective barrier. The…

介观与纳米尺度物理 · 物理学 2007-05-23 M. I. Dykman

We report on experimental and theoretical studies of the fluctuation-induced escape time from a metastable state of a nanomechanical Duffing resonator in cryogenic environment. By tuning in situ the non-linear coefficient $\gamma$ we could…

介观与纳米尺度物理 · 物理学 2015-11-25 Martial Defoort , Vadim Puller , Olivier Bourgeois , Fabio Pistolesi , Eddy Collin

Complex interactions leading to phase transitions continue to hold a due interest in the scientific community. We charactersize a phase transition in a coupled oscillators model where interactions are not local in nature. At a first order…

适应与自组织系统 · 物理学 2025-08-26 Ayushi suman , Sarika Jalan

We study noise induced switching in systems far from equilibrium by using an underdamped micromechanical torsional oscillator driven into the nonlinear regime. Within a certain range of driving frequencies, the oscillator possesses two…

介观与纳米尺度物理 · 物理学 2016-08-31 C. Stambaugh , H. B. Chan

The rate of noise-induced escape from a metastable state of a periodically modulated overdamped system is found for an arbitrary modulation amplitude $A$. The instantaneous escape rate displays peaks that vary with the modulation from…

介观与纳米尺度物理 · 物理学 2009-11-11 M. I. Dykman , D. Ryvkine

Noise-induced transitions between metastable fixed points in systems evolving on multiple time scales are analyzed in situations where the time scale separation gives rise to a slow manifold with bifurcation. This analysis is performed…

统计力学 · 物理学 2017-10-05 Tobias Grafke , Eric Vanden-Eijnden

A mathematical model describing the capture of nonlinear systems into the autoresonance by a combined parametric and external periodic slowly varying perturbation is considered. The autoresonance phenomenon is associated with solutions…

动力系统 · 数学 2023-09-26 Oskar Sultanov

We extend the stationary-state work fluctuation theorem to periodically modulated nonlinear systems. Such systems often have coexisting stable periodic states. We show that work fluctuations sharply increase near a kinetic phase transition…

统计力学 · 物理学 2009-11-13 M. I. Dykman

We study the critical behavior of the nonequilibrium dynamics and of the steady states emerging from the competition between coherent and dissipative dynamics close to quantum phase transitions. The latter is induced by the coupling of the…

统计力学 · 物理学 2019-11-26 Davide Rossini , Ettore Vicari

We experimentally and theoretically investigate the non-equilibrium phase structure of a well-controlled driven-disspative quantum spin system governed by the interplay of coherent driving, spontaneous decay and long-range spin-spin…

原子物理 · 物理学 2018-08-15 S. Helmrich , A. Arias , S. Whitlock

In all local low-dimensional models, scaling at critical points deviates from mean field behavior -- with one possible exception. This exceptional model with ``ordinary" behavior is an inherently non-equilibrium model studied some time ago…

统计力学 · 物理学 2022-02-16 Peter Grassberger

We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the…

统计力学 · 物理学 2009-10-30 Erik Luijten , Henk W. J. Blöte , Kurt Binder

We study noise-induced switching of a system close to bifurcation parameter values where the number of stable states changes. For non-Gaussian noise, the switching exponent, which gives the logarithm of the switching rate, displays a…

统计力学 · 物理学 2015-05-14 Lora Billings , Ira B. Schwartz , Marie McCrary , A. N. Korotkov , M. I. Dykman

Hamiltonian systems with long-range interactions give rise to long lived out of equilibrium macroscopic states, so-called quasi-stationary states. We show here that, in a suitably generalized form, this result remains valid for many such…

统计力学 · 物理学 2015-06-17 Michael Joyce , Jules Morand , François Sicard , Pascal Viot

The time evolution of the thermally activated decay rates is considered. This evolution is of particular importance for the recent nanoscale experiments discussed in the literature, where the potential barrier is relatively low (or the…

统计力学 · 物理学 2021-04-21 Maria Chushnyakova , Igor Gontchar , Natalya Khmyrova

We have carried out a detailed study of scaling region using detrended fractal analysis test by applying different forcing likewise noise, sinusoidal, square on the floating potential fluctuations acquired under different pressures in a DC…

数据分析、统计与概率 · 物理学 2017-11-22 Debajyoti Saha , Pankaj Kumar Shaw , Sabuj Ghosh , M. S. Janaki , A. N. Sekar Iyengar

We consider the development of anisotropic flow in an expanding system of particles undergoing very few rescatterings, using a kinetic-theoretical description with a nonlinear collision term. We derive the scaling behaviors of the harmonic…

核理论 · 物理学 2018-10-29 Nicolas Borghini , Steffen Feld , Nina Kersting

The Bray-Humayun model for phase ordering dynamics is solved numerically in one and two space dimensions with conserved and non conserved order parameter. The scaling properties are analysed in detail finding the crossover from multiscaling…

凝聚态物理 · 物理学 2009-10-28 Claudio Castellano , Marco Zannetti
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