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We propose a stochastic process wherein molecular transport is mediated by asymmetric nucleation of domains on a one-dimensional substrate. Track-driven mechanisms of molecular transport arise in biophysical applications such as Holliday…

Statistical Mechanics · Physics 2009-11-13 Amit Lakhanpal , Tom Chou

Diffusion and rectification of Brownian particles powered by a rotating wheel are numerically investigated in a two-dimensional channel. The nonequilibrium driving comes from the rotating wheel, which can break thermodynamical equilibrium…

Statistical Mechanics · Physics 2017-07-24 Bao-quan Ai

We study subdiffusive overdamped Brownian ratchets periodically rocked by an external zero-mean force in viscoelastic media within the framework of non-Markovian Generalized Langevin equation (GLE) approach and associated multi-dimensional…

Statistical Mechanics · Physics 2013-09-27 Vasyl O. Kharchenko , I. Goychuk

Motion of an atomic ensemble trapped into a deep optical lattice is considered. We propose a novel approach to construct an atomic ratchet by superimposing two additional lattices whose amplitudes are small and subjected to broadband…

Chaotic Dynamics · Physics 2013-11-13 D. V. Makarov , L. E. Kon'kov

The propagation of electrons in an orbital multiplet dispersing on a lattice can support anomalous transport phenomena deriving from an orbitally-induced Berry curvature. In striking contrast to the related situation in graphene, we find…

Mesoscale and Nanoscale Physics · Physics 2019-12-09 Vo Tien Phong , Zachariah Addison , Seongjin Ahn , Hongki Min , Ritesh Agarwal , E. J. Mele

Transport of spherical Brownian particles of finite size possessing radii through narrow channels with varying cross-section area is considered. Applying the so-called Fick-Jacobs approximation, i.e. assuming fast equilibration in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Wolfgang Riefler , Gerhard Schmid , P Sekhar Burada , Peter Hanggi

Hexagonal optical lattices offer a tunable platform to study exotic orbital physics in solid state materials. Here, we present a versatile high-precision scheme to implement a hexagonal optical lattice potential, which is engineered by…

Quantum Gases · Physics 2022-12-07 Jin-Yu Liu , Guang-Quan Luo , Xiao-Qiong Wang , Andreas Hemmerich , Zhi-Fang Xu

Control and transport of nanoscale objects in fluids is challenging because of the unfavorable scaling of most interaction mechanisms to small length scales. We design energy landscapes for nanoparticles by accurately shaping the geometry…

Soft Condensed Matter · Physics 2018-08-27 Michael J. Skaug , Christian Schwemmer , Stefan Fringes , Colin D. Rawlings , Armin W. Knoll

It is shown that a polarized microwave radiation creates directed transport in an asymmetric antidot superlattice in a two dimensional electron gas. A numerical method is developed that allows to establish the dependence of this ratchet…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. D. Chepelianskii

Rectified transport of active ellipsoidal particles is numerically investigated in a two-dimensional asymmetric potential. The out-of-equilibrium condition for the active particle is an intrinsic property, which can break thermodynamical…

Soft Condensed Matter · Physics 2015-05-12 Bao-quan Ai , Jian-chun Wu

In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

Statistical Mechanics · Physics 2026-01-27 Sang Yang , Zhixin Peng

We demonstrate that directed transport of particles in a two dimensional driven lattice can be dynamically reversed multiple times by superimposing additional spatially localized lattices on top of a background lattice. The timescales of…

Statistical Mechanics · Physics 2023-02-10 Aritra K. Mukhopadhyay , Peter Schmelcher

We present a simple model of an overdamped particle moving on a two dimensional symmetric periodic substrate with a dc drive in the longitudinal direction and additional ac drives in both the longitudinal and transverse directions. For…

Statistical Mechanics · Physics 2009-11-07 C. Reichhardt , C. J. Olson Reichhardt

We propose an optimisation method for the inverse structural design of self-assembly of anisotropic patchy particles. The anisotropic interaction can be expressed by the spherical harmonics of the surface pattern on a patchy particle, and…

Soft Condensed Matter · Physics 2025-02-21 Uyen Tu Lieu , Natsuhiko Yoshinaga

We study the drift of suspended micro-particles in a viscous liquid pumped back and forth through a periodic lattice of pores (drift ratchet). In order to explain the particle drift observed in such an experiment, we present an…

Fluid Dynamics · Physics 2012-05-22 Philippe Beltrame , Peter Talkner , Peter Hänggi

We develop an exactly-solvable three-state discrete-time minimal Brownian ratchet (MBR), where the transition probabilities between states are asymmetric. By solving the master equations we obtain the steady-state probabilities. Generally…

Statistical Mechanics · Physics 2009-11-07 Youngki Lee , Andrew Allison , Derek Abbott , H. Eugene Stanley

The flashing Brownian ratchet is a stochastic process that alternates between two regimes, a one-dimensional Brownian motion and a Brownian ratchet, the latter being a one-dimensional diffusion process that drifts towards a minimum of a…

Probability · Mathematics 2019-02-07 S. N. Ethier , Jiyeon Lee

In dense systems of hard-interacting colloidal particles having anisotropic shapes, crystallization pathways represent an interesting frontier. The translational and rotational dynamics of such particles become coupled at higher densities,…

Soft Condensed Matter · Physics 2025-09-12 Debojit Chanda , Thomas G. Mason , Manas Khan

We study deterministic dynamics of overactive Brownian particles in 2D and 3D potentials. This dynamics is Hamiltonian. Integrals of motion for continuous rotational symmetries are reported. The cases of 2D, axisymmetric and…

Statistical Mechanics · Physics 2023-12-15 Denis S. Goldobin , Lev A. Smirnov , Lyudmila S. Klimenko , and Grigory V. Osipov

Directed transport in ratchets is determined by symmetry-breaking in a system out of equilibrium. A hallmark of rocking ratchets is current reversals: an increase in the rocking force changes the direction of the current. In this work for a…

Statistical Mechanics · Physics 2015-05-19 D. Cubero , V. Lebedev , F. Renzoni