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Thermally activated escape over a potential barrier in the presence of periodic driving is considered. By means of novel time-dependent path-integral methods we derive asymptotically exact weak-noise expressions for both the instantaneous…

Statistical Mechanics · Physics 2009-10-31 Jörg Lehmann , Peter Reimann , Peter Hänggi

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. I. Dykman , D. Ryvkine

Low-frequency properties of a plasma are examined within the average-atom approximation, which presumes that scattering of a conducting electron on each atom takes place independently of other atoms. The relaxation time tau distinguishes a…

Plasma Physics · Physics 2009-11-13 M. Yu. Kuchiev , W. R. Johnson

We consider the thermally activated escape of an overdamped Brownian particle over a potential barrier in the presence of periodic driving. A time-dependent path-integral formalism is developed which allows us to derive asymptotically exact…

Statistical Mechanics · Physics 2009-10-31 Jörg Lehmann , Peter Reimann , Peter Hänggi

A formula is derived for the rate of thermal atmospheric escape, valid, and asymptotically exact, at low Knudsen number.

Earth and Planetary Astrophysics · Physics 2011-12-28 Andrei Gruzinov

In various models and systems involving the escape of periodically forced particle from the potential well, a common pattern is observed. Namely, the minimal forcing amplitude required for the escape exhibits sharp minimum for the…

Chaotic Dynamics · Physics 2018-12-31 O. V. Gendelman , G. Karmi

There exist severe limitations on the accuracy of low-temperature thermometry, which poses a major challenge for future quantum-technological applications. Low-temperature sensitivity might be manipulated by tailoring the interactions…

Quantum Physics · Physics 2022-05-04 Jonas Glatthard , Luis A. Correa

Heating under periodic driving is a generic nonequilibrium phenomenon, and it is a challenging problem in nonequilibrium statistical physics to derive a quantitatively accurate heating rate. In this work, we provide a simple formula on the…

Statistical Mechanics · Physics 2022-02-16 Takashi Mori

The effect of changing the driving frequency on the plasma density and the electron dynamics in a capacitive radio-frequency argon plasma operated at low pressures of a few Pa is investigated by Particle in Cell/Monte Carlo Collisions…

We study the thermal escape problem in the moderate-to-high and high damping regime of a system with a parabolic barrier. We present a formula that matches our numerical results accounting for finite barrier effects, and compare it with…

Statistical Mechanics · Physics 2013-03-12 J. J. Mazo , O. Y. Fajardo , D. Zueco

The problem of thermally activated escape over a potential barrier is solved by means of path integrals for one-dimensional reaction dynamics with very general time dependences. For a suitably chosen but still quite simple static potential…

Statistical Mechanics · Physics 2009-09-09 Sebastian Getfert , Peter Reimann

Using the density matrix formalism, we prove an existence theorem of the periodic steady-state for an arbitrary periodically-driven system. This state has the same period as the modulated external influence, and it is realized as an…

Atomic Physics · Physics 2016-02-17 V. I. Yudin , A. V. Taichenachev , M. Yu. Basalaev , D. Kovalenko

Driven quantum systems may realize novel phenomena absent in static systems, but driving-induced heating can limit the time-scale on which these persist. We study heating in interacting quantum many-body systems driven by random sequences…

Quantum Physics · Physics 2021-02-03 Hongzheng Zhao , Florian Mintert , Roderich Moessner , Johannes Knolle

This paper gives a simple derivation of the well-known expression of the frequency dependent complex heat capacity in modulated temperature experiments. It aims at clarified again that the generalized calorimetric susceptibility is only due…

Other Condensed Matter · Physics 2007-07-15 Jean-Luc Garden

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

We show that under local detailed balance the expected entropy production rate is always bounded in terms of the dynamical activity. The activity refers to the time-symmetric contribution in the action functional for path-space…

Statistical Mechanics · Physics 2017-10-25 Christian Maes

Optimisation of heat engines at the micro-scale has applications in biological and artificial nano-technology, and stimulates theoretical research in non-equilibrium statistical physics. Here we consider non-interacting overdamped particles…

Soft Condensed Matter · Physics 2021-06-02 Giulia Gronchi , Andrea Puglisi

We present a novel path-integral method for the determination of time-dependent and time-averaged reaction rates in multidimensional, periodically driven escape problems at weak thermal noise. The so obtained general expressions are…

Statistical Mechanics · Physics 2015-06-24 Jörg Lehmann , Peter Reimann , Peter Hänggi

We present an approximate analytical expression for the escape rate of time-dependent driven stochastic processes with an absorbing boundary such as the driven leaky integrate-and-fire model for neural spiking. The novel approximation is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Michael Schindler , Peter Talkner , Peter Hänggi

The linear conductance of the a small metallic tunnel junction embedded in an electromagnetic environment of arbitrary impedance is determined in the semiclassical limit. Electron tunneling is treated beyond the orthodox theory of Coulomb…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Georg Goeppert , Hermann Grabert
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