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Discontinuous phase transitions out of equilibrium can be characterized by the behavior of macroscopic stochastic currents. But while much is known about the the average current, the situation is much less understood for higher statistics.…

Statistical Mechanics · Physics 2022-01-05 C. E. Fiore , Pedro E. Harunari , C. E. Fernández Noa , Gabriel T. Landi

We calculate the large deviation functions characterizing the long-time fluctuations of the occupation of drifted Brownian motion and show that these functions have non-analytic points. This provides the first example of dynamical phase…

Statistical Mechanics · Physics 2017-02-03 Pelerine Tsobgni Nyawo , Hugo Touchette

Within the abstract framework of dynamical system theory we describe a general approach to the Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibrium statistical mechanics. Our main…

Mathematical Physics · Physics 2011-06-21 Vojkan Jakšić , Claude-Alain Pillet , Luc Rey-Bellet

Coupled dynamical systems with one slow element and many fast elements are analyzed. By averaging over the dynamics of the fast variables, the adiabatic kinetic branch is introduced for the dynamics of the slow variable in the adiabatic…

Chaotic Dynamics · Physics 2015-06-15 Hidetoshi Aoki , Kunihiko Kaneko

We analyze the influence of a dissipative environment on geometric phases in a quantum system subject to non-adiabatic evolution. We find dissipative contributions to the acquired phase and modification of dephasing, considering the cases…

Quantum Physics · Physics 2016-07-20 A. E. Svetogorov , Yu. Makhlin

We analyse a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyse two phenomena that are associated with these…

Statistical Mechanics · Physics 2015-11-18 Ian R. Thompson , Robert L. Jack

We find an exact expression for the current that is induced in a 3 site ring during a multiple-path adiabatic crossing. The understanding of the dynamics requires to go beyond the two-level phenomenology. In particular we highlight a…

Quantum Physics · Physics 2013-02-13 Dotan Davidovich , Doron Cohen

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 · Physics 2007-05-23 Nils Berglund

Discrete time crystals (DTCs) are a many-body state of matter whose dynamics are slower than the forces acting on it. The same is true for classical systems with period-doubling bifurcations. Hence, the question naturally arises what…

Quantum Physics · Physics 2023-03-27 Toni L. Heugel , Alexander Eichler , R. Chitra , Oded Zilberberg

We examine classical, transient fluctuation theorems within the unifying framework of Langevin dynamics. We explicitly distinguish between the effects of non-conservative forces that violate detailed balance, and non-autonomous dynamics…

Statistical Mechanics · Physics 2009-11-11 Vladimir Y. Chernyak , Michael Chertkov , Christopher Jarzynski

We discuss a classical anisotropic oscillator and the Foucault pendulum as examples illustrating non-conservation of action variables in integrable classical mechanical systems with adiabatically slow evolution. We also emphasize the…

Classical Physics · Physics 2025-11-21 Fumika Suzuki , Nikolai A. Sinitsyn

Hydrodynamic fluctuations have been studied in a wide variety of physical, chemical, and biological phenomena in the past decade. In high energy heavy ion collisions, there will be intrinsic fluctuations even if the initial conditions are…

Nuclear Theory · Physics 2013-06-18 Joseph I. Kapusta , Juan M. Torres-Rincon

We discuss adiabatic quantum phenomena at a level crossing. Given a path in the parameter space which passes through a degeneracy point, we find a criterion which determines whether the adiabaticity condition can be satisfied. For paths…

Quantum Physics · Physics 2007-05-23 Mateusz Cholascinski

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…

Materials Science · Physics 2007-05-23 Yu. G. Pogorelov

We analyze the fluctuations of the dissipated energy in a simple and general model where dissipation, diffusion and driving are the key ingredients. The large deviation function for the dissipation follows from hydrodynamic fluctuation…

Statistical Mechanics · Physics 2011-10-06 A. Prados , A. Lasanta , Pablo I. Hurtado

Different techniques to speed up quantum adiabatic processes are currently being explored for applications in atomic, molecular and optical physics, such as transport, cooling and expansions, wavepacket splitting, or internal state control.…

Quantum Physics · Physics 2013-01-01 S. Ibáñez , Xi Chen , J. G. Muga

In this paper, we present an invariant perturbation theory of the adiabatic process based on the concepts of U(1)-invariant adiabatic orbit and U(1)-invariant adiabatic expansion. As its application, we propose and discuss new adiabatic…

Quantum Physics · Physics 2007-06-13 Jian-da Wu , Mei-sheng Zhao , Jian-lan Chen , Yong-de Zhang

When an isolated system is brought in contact with a heat bath its final energy is random and follows the Gibbs distribution -- a cornerstone of statistical physics. The system's energy can also be changed by performing non-adiabatic work…

Statistical Mechanics · Physics 2011-12-01 Guy Bunin , Luca D'Alessio , Yariv Kafri , Anatoli Polkovnikov

A classical-kind phase-space formalism is developed to address the tiny intrinsic dynamical deviation from what is predicted by Wilczek-Zee theorem during quantum adiabatic evolution on degeneracy levels. In this formalism, the Hilbert…

Quantum Physics · Physics 2016-02-17 Qi Zhang

Buoyancy-driven turbulent convection leads to a fully compressible flow with a strong top-down asymmetry of first- and second-order statistics when the adiabatic equilibrium profiles of temperature, density and pressure decay very strongly…

Fluid Dynamics · Physics 2024-07-30 John Panickacheril John , Jörg Schumacher