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We investigate the dynamics of a massive tracer particle coupled to an interacting active bath, modeled as a harmonic chain of overdamped active particles analytically, with an aim to understand the impact of bath interactions and activity…

Statistical Mechanics · Physics 2025-09-03 Ritwick Sarkar , Ion Santra

We analyze a system coupled to a bath of independent harmonic oscillators. We transform the bath in chain structure by solving an inverse eigenvalue problem. We solve the equations of motion for the collective variables defined by this…

Quantum Physics · Physics 2015-06-11 L. Ferialdi , D. Dürr

Characterizing the properties of an extended system driven by active reservoirs is a question of increasing importance. Here we address this question in two steps. We start by investigating the dynamics of a probe particle connected to an…

Statistical Mechanics · Physics 2024-10-24 Ritwick Sarkar , Ion Santra , Urna Basu

A bouncing droplet on a vibrated bath can couple to the waves it generates, so that it becomes a propagative walker. Its propulsion at constant velocity means that a balance exists between the permanent input of energy provided by the…

Classical Physics · Physics 2014-09-02 Matthieu Labousse , Stéphane Perrard

We report a new type of fluid-based driven dissipative oscillator system consisting of a lattice of millimetric fluid droplets bouncing on a vertically vibrating liquid bath and bound within an annular ring. We characterize the system…

Soft Condensed Matter · Physics 2020-10-27 Stuart J. Thomson , Miles M. P. Couchman , John W. M. Bush

We derive the long-time dynamics of a tracer immersed in a one-dimensional active bath. In contrast to previous studies, we find that the damping and noise correlations possess long-time tails with exponents that depend on the tracer…

Soft Condensed Matter · Physics 2022-07-26 Omer Granek , Yariv Kafri , Julien Tailleur

We exactly analyze the vibrational properties of a chain of harmonic oscillators in contact with local Langevin heat baths. Nonequilibrium steady-state fluctuations are found to be described by a set of mode-temperatures, independent of the…

Statistical Mechanics · Physics 2017-06-13 Gianmaria Falasco , Marco Baiesi , Leo Molinaro , Livia Conti , Fulvio Baldovin

We consider a slow elastic string with Klein-Gordon dynamics coupled to a bath of run-and-tumble particles. We derive and solve the induced Langevin-Klein-Gordon string dynamics with explicit expressions for the streaming term, friction…

Statistical Mechanics · Physics 2026-05-11 Aaron Beyen , Christian Maes , Ji-Hui Pei

A simple model of oscillator chain with dynamical traps and additive white noise is considered. Its dynamics was studied numerically. As demonstrated, when the trap effect is pronounced nonequilibrium phase transitions of a new type arise.…

Statistical Mechanics · Physics 2009-11-10 Ihor Lubashevsky , Reinhard Mahnke , Morteza Hajimahmoodzadeh , Albert Katsnelson

We study the Langevin dynamics of a two-dimensional discrete oscillator chain absorbed on a periodic substrate and subjected to an external localized point force. Going beyond the commonly used harmonic bead-spring model, we consider a…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 S. Martens , D. Hennig , S. Fugmann , L. Schimansky-Geier

A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally, guided by the waves it generates on each impact. This results in a self-propelled classical particle-wave entity. By using a one-dimensional…

Fluid Dynamics · Physics 2021-07-14 Rahil N. Valani , Anja C. Slim , David M. Paganin , Tapio P. Simula , Theodore Vo

We investigate an oscillator linearly coupled with a one-dimensional Ising system. The coupling gives rise to drastic changes both in the oscillator statics and dynamics. Firstly, there appears a second order phase transition, with the…

Statistical Mechanics · Physics 2015-05-27 A. Prados , L. L. Bonilla , A. Carpio

We study the stationary state of a chain of harmonic oscillators driven by two active reservoirs at the two ends. These reservoirs exert correlated stochastic forces on the boundary oscillators which eventually leads to a nonequilibrium…

Statistical Mechanics · Physics 2023-01-19 Ritwick Sarkar , Ion Santra , Urna Basu

We consider a harmonic oscillator under periodic driving and coupled to two harmonic-oscillator heat baths at different temperatures. We use the thermofield transformation with chain mapping for this setup, which allows us to study the…

Quantum Gases · Physics 2022-01-19 Tianqi Chen , Dario Poletti

Active polymers possess numerous unique properties that are quite different from those observed in the system of small active molecule due to the intricate interplay between their activity and topological constraints. This study focuses on…

Soft Condensed Matter · Physics 2024-07-09 Jing Li , Bokai Zhang , Zhi-Yong Wang

We consider a quantum space with rotationally invariant noncommutative algebra of coordinates and momenta. The algebra contains tensors of noncommutativity constructed involving additional coordinates and momenta. In the rotationally…

Quantum Physics · Physics 2019-03-05 Kh. P. Gnatenko

When coupling thermal baths at different temperatures, negative differential thermal conductivity is typically attributed to nonlinear interactions in the connecting medium. In this work, we demonstrate that such an effect can arise purely…

Statistical Mechanics · Physics 2026-05-13 Simon Krekels , Christian Maes , Ion Santra , Ruoxun Zhai

We study a harmonic system coupled to chain of first neighbor interacting oscillators. After deriving the exact dynamics of the system, we prove that one can effectively describe the exact dynamics by considering a suitable shorter chain.…

Mathematical Physics · Physics 2016-06-22 L. Ferialdi , D. Dürr

We study the collective escape dynamics of a chain of coupled, weakly damped nonlinear oscillators from a metastable state over a barrier when driven by a thermal heat bath in combination with a weak, globally acting periodic perturbation.…

Statistical Mechanics · Physics 2008-09-22 D. Hennig , L. Schimansky-Geier , P. Hänggi

Mixtures of active and passive particles are ubiquitous at the microscale. Many essential microbial processes involve interactions with dead or immotile cells or passive crowders. When passive objects are immersed in active baths, their…

Soft Condensed Matter · Physics 2026-02-24 Horacio Serna , C. Miguel Barriuso G. , Ignacio Pagonabarraga , Marco Polin , Chantal Valeriani
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