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The work fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally. For the work both the transient and stationary state fluctuation theorems hold. The…

Statistical Mechanics · Physics 2016-08-14 Sylvain Joubaud , Nicolas Garnier , Frédéric Douarche , Artem Petrosyan , Sergio Ciliberto

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…

Statistical Mechanics · Physics 2007-05-23 D. Ryvkine , M. I. Dykman

We demonstrate that the modulation instability of the zone boundary mode in a finite (periodic) Fermi-Pasta-Ulam chain is the necessary but not sufficient condition for the efficient energy transfer by localized excitations. This transfer…

Pattern Formation and Solitons · Physics 2015-05-19 L. I. Manevitch , V. V. Smirnov

We explore the nonlinear dynamics of a driven power law oscillator whose shape varies periodically in time covering a broad spectrum of anharmonicities. Combining weak and strong confinement of different geometry within a single driving…

Chaotic Dynamics · Physics 2018-08-29 Peter Schmelcher

We concentrate on kinetic models for swarming with individuals interacting through self-propelling and friction forces, alignment and noise. We assume that the velocity of each individual relaxes to the mean velocity. In our present case,…

Analysis of PDEs · Mathematics 2019-12-03 Mihaï Bostan , José Antonio Carrillo

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

Statistical Mechanics · Physics 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

Two interacting electrons in a harmonic oscillator potential under the influence of a perpendicular homogeneous magnetic field are considered. Analytic expressions are obtained for the energy spectrum of the two- and three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Dineykhan , R. G. Nazmitdinov

We study numerically an inhomogeneous Ising lattice gas with short-range interactions where different sectors are in contact with thermal baths at different temperatures. Inside the different sectors particles jump to empty sites following…

Statistical Mechanics · Physics 2012-05-09 Linjun Li , Michel Pleimling

In this paper, we derive a number of inequalities which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states. One of these inequalities concerns the output power,…

Statistical Mechanics · Physics 2019-09-04 Hadrien Vroylandt , David Lacoste , Gatien Verley

Theoretical studies of synchronization are usually based on models of coupled phase oscillators which, when isolated, have constant angular frequency. Stochastic discrete versions of these uniform oscillators have also appeared in the…

Data Analysis, Statistics and Probability · Physics 2012-01-30 Vladimir R. V. Assis , Mauro Copelli

We investigate theoretically the energy exchange between electrons of two co-propagating, out-of-equilibrium edge states with opposite spin polarization in the integer quantum Hall regime. A quantum dot tunnel-coupled to one of the edge…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Anders Mathias Lunde , Simon E. Nigg

We show that the observed non-monotonic behavior of the thermal conductance between two nanoparticles when they are brought into contact is originated by an intricate phase space dynamics. Here it is assumed that this dynamics results from…

Mesoscale and Nanoscale Physics · Physics 2009-07-27 Agustin Pérez-Madrid , Luciano C. Lapas , J. Miguel Rubí

To model mechanically-driven phase transformations using the phase-field theory, suitable models are needed for describing the mechanical fields related to individual phase-fields in the interfacial regions. They play a crucial role in…

Numerical Analysis · Mathematics 2025-09-22 Mohammad Sarhil , Oleg Shchyglo , Hesham Salama , Dominik Brands , Ingo Steinbach , Jörg Schröder

This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many…

Statistical Mechanics · Physics 2007-11-06 Ajay Patwardhan

Nonequilibrium phase transitions are routinely observed in both natural and synthetic systems. The ubiquity of these transitions highlights the conspicuous absence of a general theory of phase coexistence that is broadly applicable to both…

Statistical Mechanics · Physics 2023-05-30 Ahmad K. Omar , Hyeongjoo Row , Stewart A. Mallory , John F. Brady

In this work we extend the discussion that was began in the Ref. [A. L. de Paula Jr., J. G. G. de Oliveira Jr., J. G. Peixoto de Faria, Dagoberto S. Freitas and M. C. Nemes, {\it Phys. Rev.} {\bf A89}, (2014) 022303] to deal with the…

Quantum Physics · Physics 2016-08-03 A. L. de Paula , Dagoberto S. Freitas

This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric,…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 M. I. Dykman

We investigate the behavior of energy fluctuations in several models of granular gases maintained in a non-equilibrium steady state. In the case of a gas heated from a boundary, the inhomogeneities of the system play a predominant role.…

Statistical Mechanics · Physics 2007-05-23 P. Visco , A. Puglisi , A. Barrat , F. van Wijland , E. Trizac

In this Letter we show how the nonlinear evolution of a resonant triad depends on the special combination of the modes' phases chosen according to the resonance conditions. This phase combination is called dynamical phase. Its evolution is…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 Miguel D. Bustamante , Elena Kartashova

The stationary points of the potential energy function V are studied for the \phi^4 model on a two-dimensional square lattice with nearest-neighbor interactions. On the basis of analytical and numerical results, we explore the relation of…

Statistical Mechanics · Physics 2015-03-19 Michael Kastner , Dhagash Mehta