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Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

Statistical Mechanics · Physics 2021-09-02 Ryusuke Hamazaki

We illustrate the geometric phase associated with the cyclic dynamics of a classical system of coupled oscillators. We use an analogy between a classical coupled oscillator and a two-state quantum mechanical system to represent the…

Physics Education · Physics 2021-11-01 Sharba Bhattacharjee , Biprateep Dey , Ashok K Mohapatra

Fluid dynamics induced by periodically forced flow around a cylinder is analyzed computationally for the case when the forcing frequency is much lower than the von K{\'a}rm{\'a}n vortex shedding frequency corresponding to the constant flow…

Fluid Dynamics · Physics 2017-10-11 Bryan Glaz , Igor Mezic , Maria Fonoberova , Sophie Loire

We study a system of non-identical bistable particles that is driven by a dynamical constraint and coupled through a non-local mean-field. Assuming piecewise affine constitutive laws we prove the existence of traveling wave solutions and…

Analysis of PDEs · Mathematics 2023-03-14 Michael Herrmann , Barbara Niethammer

Large systems of coupled oscillators subjected to a periodic external drive occur in many situations in physics and biology. Here the simple, paradigmatic case of equal-strength, all-to-all sine-coupling of phase oscillators subject to a…

Chaotic Dynamics · Physics 2009-11-13 T. M. Antonsen , R. T. Faghih , M. Girvan , E. Ott , J. Platig

We present a model describing the use of ultra-short strong pulses to control the population of the excited level of a two-level quantum system. In particular, we study an off-resonance excitation with a few cycles pulse which presents a…

Quantum Physics · Physics 2015-06-15 Pankaj K. Jha , Hichem Eleuch , Fabio Grazioso

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

We analyze the dynamics of crystal surfaces in the presence of electromigration. From a phase field model with a migration force which depends on the local geometry, we derive a step model with additional contributions in the kinetic…

Statistical Mechanics · Physics 2009-11-11 O. Pierre-Louis

A new method has been proposed to evaluate the frictional force in the stationary state. This method is applied to the 1-dimensional model of clean surfaces. The kinetic frictional force is seen to depend on velocity in general, but the…

Condensed Matter · Physics 2009-10-22 Hiroshi Matsukawa , Hidetoshi Fukuyama

Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent oscillations in excitable systems and further perform phase…

Adaptation and Self-Organizing Systems · Physics 2022-05-26 Jinjie Zhu , Yuzuru Kato , Hiroya Nakao

We survey known results about phase transitions in various models of statistical physics when the underlying space is a nonamenable graph. Most attention is devoted to transitive graphs and trees.

Probability · Mathematics 2009-10-31 Russell Lyons

We study experimentally the dynamics of a water droplet on a tilted and vertically oscillating rigid fibre. As we vary the frequency and amplitude of the oscillations the droplet transitions between different modes: harmonic pumping,…

Fluid Dynamics · Physics 2023-08-02 Stéphane Poulain , Andreas Carlson

We comprehensively study mechanical and vibrational properties of dimer packings in three-dimensional space with particular attention on critical scaling behaviors near the jamming transition. First, we confirm the dependence of the packing…

Soft Condensed Matter · Physics 2020-06-26 Kumpei Shiraishi , Hideyuki Mizuno , Atsushi Ikeda

We study a dynamical phase transition in optical bistable systems subject to a time-periodic driving field. The phase transition occurs in the structure of limit cycle as a function of the frequency of the driving field. In the…

Statistical Mechanics · Physics 2020-01-13 Tatsuhiko Shirai , Synge Todo , Seiji Miyashita

We study a dynamical counterpart of bifurcation to invariant torus for a system of interconnected fast phase variables and slowly varying parameters. We show that in such a system, due to the slow evolution of parameters, there arise…

Classical Analysis and ODEs · Mathematics 2015-08-28 A. M. Samoilenko , I. O. Parasyuk , B. V. Repeta

We analyse the effect on adiabatic stellar oscillation frequencies of replacing the near-surface layers in 1D stellar structure models with averaged 3D stellar surface convection simulations. The main difference is an expansion of the…

We study the stress fluctuations in simulations of a two-dimensional amorphous solid under a cyclic drive. It is known that this system organizes into a reversible state for small driving amplitudes and remains in an irreversible state for…

Soft Condensed Matter · Physics 2020-01-08 Ido Regev , C. Reichhardt , C. J. O. Reichhardt

The dynamics of hybrid systems -- i.e. ones in which classical and quantum degrees of freedom co-exist and interact -- feature both diffusion in the classical sector and decoherence in the quantum state. In this article, we will consider…

Quantum Physics · Physics 2025-10-10 Emanuele Panella

The evolution of the two-point functions of autonomous one-dimensional single-species reaction-diffusion systems with nearest-neighbor interaction and translationally-invariant initial conditions is investigated. It is shown that the…

Statistical Mechanics · Physics 2007-05-23 Amir Aghamohammadi , Mohammad Khorrami

Two different oscillation modes in microdischarge with parallel-plate geometry has been observed: relaxation oscillations with frequency range between 1.23 and 2.1 kHz and free-running oscillations with 7 kHz frequency. The oscillation…