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We explore fluctuation relations in a periodically driven micromechanical torsional oscillator. In the linear regime where the modulation is weak, we verify that the ratio of the work variance to the mean work is constant, consistent with…

统计力学 · 物理学 2019-09-04 P. Zhou , X. Dong , C. Stambaugh , H. B. Chan

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

The rate of metastable decay in nonequilibrium systems is expected to display scaling behavior: i.e., the logarithm of the decay rate should scale as a power of the distance to a bifurcation point where the metastable state disappears.…

统计力学 · 物理学 2009-09-29 Oleg Kogan

We consider stochastic electro-mechanical dynamics of an overdamped power system in the vicinity of the saddle-node bifurcation associated with the loss of global stability such as voltage collapse or phase angle instability. Fluctuations…

物理与社会 · 物理学 2016-11-18 Dmitry Podolsky , Konstantin Turitsyn

For a power system operating in the vicinity of the power transfer limit of its transmission system, effect of stochastic fluctuations of power loads can become critical as a sufficiently strong such fluctuation may activate voltage…

物理与社会 · 物理学 2012-12-07 Dmitry Podolsky , Konstantin Turitsyn

We study the dynamics of a nonlinear oscillator near the critical point where period-two vibrations are first excited with the increasing amplitude of parametric driving. Above the threshold, quantum fluctuations induce transitions between…

量子物理 · 物理学 2015-08-12 Z. R. Lin , Y. Nakamura , M. I. Dykman

The fluctuation scaling law has universally been observed in a wide variety of phenomena. For counting processes describing the number of events occurred during time intervals, it is expressed as a power function relationship between the…

数据分析、统计与概率 · 物理学 2013-07-01 Shinsuke Koyama

Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the…

统计力学 · 物理学 2007-12-12 Tooru Taniguchi , E. G. D. Cohen

We study the fluctuations of work done and dissipated heat of a Brownian particle in a symmetric double well system. The system is driven by two periodic input signals that rock the potential simultaneously. Confinement in one preferred…

统计力学 · 物理学 2015-05-13 Navinder Singh , Sourabh Lahiri , A. M. Jayannavar

Cortical neurons are bistable; as a consequence their local field potentials can fluctuate between quiescent and active states, generating slow 0.5-2 Hz oscillations which are widely known as transitions between Up and Down States. Despite…

无序系统与神经网络 · 物理学 2015-06-05 Jorge Hidalgo , Luis F. Seoane , Jesus M. Cortes , Miguel A. Munoz

We study fluctuations in diffusion-limited reaction systems driven out of their stationary state. Using a numerically exact method, we investigate fluctuation ratios in various systems which differ by their level of violation of microscopic…

统计力学 · 物理学 2009-11-13 Sven Dorosz , Michel Pleimling

We extend the Exchange Fluctuation Theorem for energy exchange between thermal quantum systems beyond the assumption of molecular chaos, and describe the non-equilibrium exchange dynamics of correlated quantum states. The relation…

量子物理 · 物理学 2015-10-14 Sania Jevtic , David Jennings , Terry Rudolph , Yuji Hirono , Shojun Nakayama , Mio Murao

Small nonequelibrium systems driven by an external periodic protocol can be described by Markov processes with time-periodic transition rates. In general, current fluctuations in such small systems are large and may play a crucial role. We…

统计力学 · 物理学 2018-06-21 Andre C Barato , Raphael Chetrite

A longstanding goal of nonequilibrium statistical mechanics has been to extend the conceptual power of the Boltzmann distribution to driven systems. We report some new progress towards this goal. Instead of writing the nonequilibrium…

统计力学 · 物理学 2015-11-25 Robert Marsland , Jeremy England

We study a parametrically modulated oscillator that has two stable states of vibrations at half the modulation frequency $\omega_F$. Fluctuations of the oscillator lead to interstate switching. A comparatively weak additional field can…

统计力学 · 物理学 2007-05-23 D. Ryvkine , M. I. Dykman

A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a non-equilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation…

统计力学 · 物理学 2015-05-29 Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

软凝聚态物质 · 物理学 2019-01-15 Tapas Singha , Mustansir Barma

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

统计力学 · 物理学 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

A two-dimensional lattice system of non-interacting electrons in a homogeneous magnetic field with half a flux quantum per plaquette and a random potential is considered. For the large scale behavior a supersymmetric theory with collective…

介观与纳米尺度物理 · 物理学 2009-10-28 K. Ziegler

We have studied the nature of classical work ($W_{c}$) and thermodynamic work ($W$) fluctuations in systems driven out of equilibrium both in transient and time periodic steady state. As the observation time of trajectory increases, we show…

经典物理 · 物理学 2015-05-13 Mamata Sahoo , A. M Jayannavar
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