Driven transport of soft Brownian particles through pore-like structures: Effective size method
arXiv:2107.14783 · doi:10.1063/5.0065190
Abstract
Single-file transport in pore-like structures constitute an important topic for both theory and experiment. For hardcore interacting particles, a good understanding of the collective dynamics has been achieved recently. Here we study how softness in the particle interaction affects the emergent transport behavior. To this end, we investigate the driven Brownian motion of particles in a periodic potential. The particles interact via a repulsive softcore potential with a shape corresponding to a smoothed rectangular barrier. This shape allows us to elucidate effects of mutual particle penetration and particle crossing in a controlled manner. We find that even weak deviations from the hardcore case can have a strong impact on the particle current. Despite this fact, the knowledge about the transport in a corresponding hardcore system is shown to be useful to describe and interpret our findings for the softcore case. This is achieved by assigning a thermodynamic effective size to the particles based on the equilibrium density functional of hard spheres.
arXiv comment8 pages, 4 figures
References in corpus (17)
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Single-File diffusion in a Box
- Generalized Elastic Model yields Fractional Langevin Equation
- The Lasting Effect of Initial Conditions on Single File Diffusion
- Transition from single-file to two-dimensional diffusion of interacting particles in a quasi-one-dimensional channel
- First Passage Times for a Tracer Particle in Single File Diffusion and Fractional Brownian Motion
- Brownian asymmetric simple exclusion process
- Event Driven Langevin simulations of Hard Spheres
- Single-File Diffusion of Externally Driven Particles
- Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
- Order-preserving dynamics in one dimension -- single-file diffusion and caging from the perspective of dynamical density functional theory
- Dispersion in two-dimensional periodic channels with discontinuous profiles
- Exact density functional for hard rod mixtures derived from Markov chain approach
- Single-File Diffusion in an Interval: First Passage Properties
- Role of the potential landscape on the single-file diffusion through channels
- Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
- Cycle completion times probe interactions with environment