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The response of a nonlinear stochastic system driven by an external sinusoidal time dependent force is studied by a variety of numerical and analytical approximations. The validity of linear response theory is put to a critical test by…

统计力学 · 物理学 2009-11-07 J. Casado-Pascual , J. Gómez-Ordóñez , M. Morillo , P. Hänggi

A Stirling engine made of a colloidal particle in contact with a nonequilibrium bath is considered and analyzed with the tools of stochastic energetics. We model the bath by non Gaussian persistent noise acting on the colloidal particle.…

统计力学 · 物理学 2017-05-24 Ruben Zakine , Alexandre Solon , Todd Gingrich , Frédéric van Wijland

The analytical expression for shortcuts to adiabaticity for any switching time and any thermally isolated system performing a finite-time and weakly driven process is presented. It is based on the analytical solution of the optimal…

量子物理 · 物理学 2025-09-26 Pierre Nazé

We study nonadiabatic effects of geometric pumping. With arbitrary choices of periodic control parameters, we go beyond the adiabatic approximation to obtain the exact pumping current. We find that a geometrical interpretation for the…

统计力学 · 物理学 2020-04-17 Kazutaka Takahashi , Keisuke Fujii , Yuki Hino , Hisao Hayakawa

We study driven finite quantum systems in contact with a thermal reservoir in the regime in which the system changes slowly in comparison to the equilibration time. The associated isothermal adiabatic theorem allows us to control the full…

数学物理 · 物理学 2016-09-22 Tristan Benoist , Martin Fraas , Vojkan Jaksic , Claude-Alain Pillet

Recently, it has been shown (Gavrilov et al., Nonlinear Dyn, 112, 2024) that in a linear solid discrete-continuous system with several slowly time-varying parameters, the amplitude of a strongly localized mode (a trapped wave) can be…

数学物理 · 物理学 2026-05-20 Ekaterina V. Shishkina , Serge N. Gavrilov

We prove the equivalence among symmetricity, time reversibility, and zero entropy production of the stationary solutions of linear stochastic differential equations. A sufficient and necessary reversibility condition expressed in terms of…

数学物理 · 物理学 2007-05-23 Hong Qian

An adiabatic approach is developed for the problem of boundary friction between two atomically smooth and incommensurate solid surfaces, separated by a monolayer of lubricant atoms. This method permits to consider very slow macroscopic…

材料科学 · 物理学 2007-05-23 Yu. G. Pogorelov

This paper aims to quantitatively relate the energy dissipated at a shock wave in a nonlinearly elastic bar to the energy in the oscillations in two related dissipationless, dispersive systems. In contrast to a phase boundary, there is no…

经典物理 · 物理学 2021-08-03 Prashant K. Purohit , Rohan Abeyaratne

The mean-field dynamics of a particle in a random, but short range correlated potential, offers the opportunity of observing both aging and driven stationary regimes. Using a geometrical approach previously introduced by the author, we…

凝聚态物理 · 物理学 2009-10-31 Fabrice Thalmann

Most present applications of time-dependent density functional theory use adiabatic functionals, i.e. the effective potential at time t is determined solely by the density at the same time. This paper discusses a method that aims to go…

强关联电子 · 物理学 2009-11-10 Yair Kurzweil , Roi Baer

The statistical-thermodynamic dislocation theory developed in our earlier studies is used here in an analysis of the experimental observations of adiabatic shear banding in steel by Marchand and Duffy (1988). Employing a small set of…

材料科学 · 物理学 2017-10-17 Khanh Chau Le , Tuan Minh Tran , James S. Langer

We give a nontechnical description of the behaviour of dynamical systems governed by two distinct time scales. We discuss in particular memory effects, such as bifurcation delay and hysteresis, and comment the scaling behaviour of…

chao-dyn · 物理学 2007-05-23 Nils Berglund

Geometric phase in the wave function is important with regard to quantum non-locality and adiabatic evolution. We study the confinement of a particle by three-dimensional isotropically moving walls, of relevance to experimental trapping…

量子物理 · 物理学 2016-12-28 Mohammad Mehrafarin , Reza Torabi

We discover that the energy-integral of time-delay is an adiabatic invariant in quantum scattering theory and corresponds classically to the phase space volume. The integral thus found provides a quantization condition for resonances,…

量子物理 · 物理学 2009-11-10 Sudhir R. Jain

We deal with the power-law q-distribution functions, so-called q-exponentials in nonextensive statistics. The system considered is a many-body Hamiltonian system with arbitrary interacting potentials. We find that the usual form of…

统计力学 · 物理学 2015-08-10 Jiulin Du

In the conventional quantum mechanics (i.e., hermitian QM) the adia- batic theorem for systems subjected to time periodic fields holds only for bound systems and not for open ones (where ionization and dissociation take place) [D. W. Hone,…

原子物理 · 物理学 2009-11-11 Avner Fleischer , Nimrod Moiseyev

We consider a classical and superadiabatic version of an iterative quantum adiabatic algorithm to solve combinatorial optimization problems. This algorithm is deterministic because it is based on purely classical dynamics, that is, it does…

统计力学 · 物理学 2020-05-08 Takuya Hatomura

Low-temperature-differential (LTD) Stirling heat engines are able to operate with a small temperature difference between low-temperature heat reservoirs that exist in our daily lives, and thus they are considered to be an important…

统计力学 · 物理学 2020-07-29 Yuki Izumida

We calculate the electron screening effect in low energy nuclear fusion reactions by taking non-adiabaticity of the tunnleing process into account. In order to investigate deviations from the adiabatic limit, we use the dynamical norm…

核理论 · 物理学 2009-09-25 K. Hagino , N. Takigawa , M. Abe
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