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We review both theoretical and experimental advances in the recently emerged physics of modulated photonic lattices. Artificial periodic dielectric media, such as photonic crystals and photonic lattices, provide a powerful tool for the…

Diffusion maps approximate the generator of Langevin dynamics from simulation data. They afford a means of identifying the slowly-evolving principal modes of high-dimensional molecular systems. When combined with a biasing mechanism,…

数据分析、统计与概率 · 物理学 2020-07-01 Zofia Trstanova , Ben Leimkuhler , Tony Lelièvre

The Generalized Langevin Equation (GLE) has been recently suggested to simulate the time evolution of classical solid and molecular systems when considering general non-equilibrium processes. In this approach, a part of the whole system (an…

统计力学 · 物理学 2014-04-23 L. Stella , C. D. Lorenz , L. Kantorovich

Memory effects are a key feature in the description of the dynamical systems governed by the generalized Langevin equation, which presents an exact reformulation of the equation of motion. A simple measure for the estimation of memory…

无序系统与神经网络 · 物理学 2007-05-23 Anatolii V. Mokshin , Renat M. Yulmetyev , Peter Hänggi

We investigate a novel type of Langevin model that describes the nonequilibrium dynamics of a classical particle interacting with a spatially extended environment. In this model, a particle, which interacts with the environment through the…

统计力学 · 物理学 2015-10-20 Taiki Haga

We present a numerical study of classical particles diffusing on a solid surface. The particles' motion is modeled by an underdamped Langevin equation with ordinary thermal noise. The particle-surface interaction is described by a periodic…

统计力学 · 物理学 2009-11-10 J. M. Sancho , A. M. Lacasta , K. Lindenberg , I. M. Sokolov , A. H. Romero

Understanding the momentum of light when propagating through optical media is not only fundamental for studies as varied as classical electrodynamics and polaritonics in condensed matter physics, but also for important applications such as…

光学 · 物理学 2020-08-06 Deng Pan , Hongxing Xu , F Javier García de Abajo

Metastable condensed matter typically fluctuates about local energy minima at the femtosecond time scale before transitioning between local minima after nanoseconds or microseconds. This vast scale separation limits the applicability of…

计算物理 · 物理学 2017-11-22 Brittan A Farmer , Mitchell Luskin , Petr Plecháč , Gideon Simpson

We introduce a stochastic equation for the microscopic motion of a tagged particle in the single file model. This equation provides a compact representation of several of the system's properties such as Fluctuation-Dissipation and Linear…

统计力学 · 物理学 2009-11-13 Alessandro Taloni , Michael A. Lomholt

The production of molecules from dual species atomic quantum gases has enabled experiments that employ molecules at nanoKelvin temperatures. As a result, every degree of freedom of these molecules is in a well-defined quantum state and…

量子气体 · 物理学 2018-04-27 Jacob P. Covey , Steven A. Moses , Jun Ye , Deborah S. Jin

The constitutive equations for the orientational dynamics of a liquid formed of linear molecules are derived microscopically. The resulting generalised Langevin equations coincide with the phenomenological approach of Dreyfus et al.…

统计力学 · 物理学 2011-08-12 T. Franosch , A. Latz , R. M. Pick

Driven surface diffusion occurs, for example, in molecular beam epitaxy when particles are deposited under an oblique angle. Elastic phase transitions happen when normal modes in crystals become soft due to the vanishing of certain elastic…

统计力学 · 物理学 2015-06-19 Hans-Karl Janssen , Olaf Stenull

Microscopic control over polar molecules with tunable interactions would enable realization of novel quantum phenomena. Using an applied electric field gradient, we demonstrate layer-resolved state preparation and imaging of ultracold…

Recent rapid advances in single particle tracking and supercomputing techniques resulted in an unprecedented abundance of diffusion data exhibiting complex behaviours, such the presence of power law tails of the msd and memory functions,…

统计力学 · 物理学 2018-10-08 Jakub Ślęzak

Transport of cold atoms in shallow optical lattices is characterized by slow, nonstationary momentum relaxation. We here develop a projector operator method able to derive in this case a generalized Smoluchowski equation for the position…

统计力学 · 物理学 2015-06-17 A. Dechant , E. Lutz

Electronic friction and Langevin dynamics is a popular mixed quantum-classical method for simulating the nonadiabatic dynamics of molecules interacting with metal surfaces, as it can be computationally more efficient than fully quantum…

化学物理 · 物理学 2024-06-06 Martin Mäck , Samuel L. Rudge , Michael Thoss

We provide a generic scheme to separate the particles of a mixture by their physical properties like mass, friction or size. The scheme employs a periodically shaken two dimensional dissipative lattice and hinges on a simultaneous transport…

混沌动力学 · 物理学 2018-05-30 Aritra K. Mukhopadhyay , Benno Liebchen , Peter Schmelcher

Near-field and resonance effects have a strong influence on the nanoscale electromagnetic energy transfer, and detailed understanding of these effects is required for the design of new, optimized nano-optical devices. We provide a…

介观与纳米尺度物理 · 物理学 2014-04-03 K. Sääskilahti , J. Oksanen , J. Tulkki

A micro-hydrodynamics model based on elastic collisions of light point solvent particles with a heavy solute particle is investigated in the setting where the light particles have velocity distribution corresponding to a background flow.…

流体动力学 · 物理学 2023-11-21 Radek Erban , Robert A. Van Gorder

The Langevin dynamics is a diffusion process extensively used, in particular in molecular dynamics simulations, to sample Gibbs measures. Some alternatives based on (piecewise deterministic) kinetic velocity jump processes have gained…

数值分析 · 数学 2025-05-27 Nicolaï Gouraud , Lucas Journel , Pierre Monmarché