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Related papers: Transition path dynamics of a nanoparticle in a bi…

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We present an optomechanical model that describes the stochastic motion of an overdamped chiral nanoparticle diffusing in the optical bistable potential formed in the standing-wave of two counter-propagating Gaussian beams. We show how…

Quantum Physics · Physics 2022-01-05 Gabriel Schnoering , Samuel Albert , Antoine Canaguier-Durand , Cyriaque Genet

The dynamics of complex systems often involve thermally activated barrier crossing events that allow these systems to move from one basin of attraction on the high dimensional energy surface to another. Such events are ubiquitous, but…

Materials Science · Physics 2015-05-30 Amit Samanta , Weinan E

Aspects of the dynamical glass transition are considered within a mean field spin glass model. At the dynamical transition the the system condenses in a state of lower entropy. The difference, the information entropy or complexity, is…

Condensed Matter · Physics 2007-05-23 Th. M. Nieuwenhuizen

Many problems in physics, material sciences, chemistry and biology can be abstractly formulated as a system that navigates over a complex energy landscape of high or infinite dimensions. Well-known examples include phase transitions of…

Numerical Analysis · Mathematics 2025-10-20 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

Motivation: Many biochemical pathways are known, but the numerous parameters required to correctly explore the dynamics of the pathways are not known. For this reason, algorithms that can make inferences by looking at the topology of a…

Molecular Networks · Quantitative Biology 2009-07-23 Deepak Chandran , Herbert M. Sauro

This paper provides an overview of the research on the metastable behavior of the Ising model. We analyze the transition times from the set of metastable states to the set of the stable states by identifying the critical configurations that…

Statistical Mechanics · Physics 2025-01-13 Vanessa Jacquier

We discuss activated escape from a metastable state of a system driven by a time-periodic force. We show that the escape probabilities can be changed very strongly even by a comparatively weak force. In a broad parameter range, the…

Statistical Mechanics · Physics 2009-11-07 M. I. Dykman , B. Golding , L. I. McCann , V. N. Smelyanskiy , D. G. Luchinsky , R. Mannella , P. V. E. McClintock

Biomolecular conformational transitions are usually modeled as barrier crossings in a free energy landscape. The transition paths connect two local free energy minima and transition path times (TPT) are the actual durations of the crossing…

Statistical Mechanics · Physics 2021-10-26 Michele Caraglio , Takahiro Sakaue , Enrico Carlon

The dynamics of an active walker in a harmonic potential is studied experimentally, numerically and theoretically. At odds with usual models of self-propelled particles, we identify two dynamical states for which the particle condensates at…

Soft Condensed Matter · Physics 2019-02-20 Olivier Dauchot , Vincent Démery

We present a means of studying rare reactive pathways in open quantum systems using Transition Path Theory and ensembles of quantum jump trajectories. This approach allows for elucidation of reactive paths for dissipative, nonadiabatic…

Chemical Physics · Physics 2022-11-09 Michelle C. Anderson , Addison J. Schile , David T. Limmer

A quantitative model of the mobility of functionalized particles at the interface is pivotal to understanding important systems in biology and nanotechnology. In this work, we investigate the emerging dynamics of particles anchored through…

Soft Condensed Matter · Physics 2024-06-19 Janna Lowensohn , Laurie Stevens , Daniel Goldstein , Bortolo Matteo Mognetti

Motivated by recent experiments, we theoretically analyze the flow past an obstacle of a one-dimensional "quantum fluid of light" which is resonantly driven, and exhibits bistability. The flow is found to abruptly change several times when…

Quantum Gases · Physics 2023-02-01 Vincent Hakim , Simon Pigeon , Amandine Aftalion

Thermally activated transitions are ubiquitous in nature, occurring in complex environments which are typically conceived as ideal viscous fluids. We report the first direct observations of a Brownian bead transiting between the wells of a…

Soft Condensed Matter · Physics 2021-03-17 Brandon R. Ferrer , Juan Ruben Gomez-Solano , Alejandro V. Arzola

A one-dimensional run-and-tumble particle (RTP) switches randomly between a left and right moving state of constant speed $v$. This type of motion arises in a wide range of applications in cell biology, including the unbiased growth and…

Statistical Mechanics · Physics 2021-02-23 Paul C Bressloff

We study an active random walker model in which a particle's motion is determined by a self-generated field. The field encodes information about the particle's path history. This leads to either self-attractive or self-repelling behavior.…

Statistical Mechanics · Physics 2009-11-11 R. Grima

A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first order quantum…

Quantum Physics · Physics 2018-02-09 Sascha Wald , Andre Timpanaro , Cecilia Cormick , Gabriel T. Landi

Transition paths are rare events occurring when a system, thanks to the effect of fluctuations, crosses successfully from one stable state to another by surmounting an energy barrier. Even though they are of great significance in many…

Soft Condensed Matter · Physics 2024-12-30 Brandon R. Ferrer , Juan Ruben Gomez-Solano

We consider the motion of a harmonically trapped overdamped particle, which is submitted to a self-phoretic force, that is proportional to the gradient of a diffusive field for which the particle itself is the source. In agreement with…

Statistical Mechanics · Physics 2025-01-23 A. Alexandre , L. Anderson , T. Collin-Dufresne , T. Guérin , D. S. Dean

While Kramers' rates have been studied for almost a century, the transition path time between states has only recently received attention. Transition paths between different energy levels are expected to be indistinguishable in shape and…

Statistical Mechanics · Physics 2020-06-02 Jannes Gladrow , Marco Ribezzi-Crivellari , Felix Ritort , Ulrich F. Keyser

We experimentally study the statistics of the transition path time taken by a submicron bead to successfully traverse an energy barrier created by two optical tweezers in two prototypical viscoelastic fluids, namely, aqueous polymer and…

Soft Condensed Matter · Physics 2024-12-10 Brandon R. Ferrer , Alejandro V. Arzola , Denis Boyer , Juan Ruben Gomez-Solano