Directed drift and fluid pumping of nanoswimmers by periodic rectification-diffusion

Negative rectification and anomalous diffusion in nonlinear substrate potentials: Dynamical relaxation and information entropy

We numerically investigate the rectification of the probability flux and dynamical relaxation of particles moving in a system with and without noise. The system, driven by two external forces, consists of two substrate potentials that have identical shapes and different potential barriers with different friction coefficients. The deterministic model exhibits the perfect rectification of the probability flux, ratchet effect, and the dependence of the unpredictability of the dynamics on basin of attraction. In contrast, the stochastic model displays that the rectification is sensitive to the temperature and an external bias. They can induce kinetic phase transitions between no transport and a finite net transport. These transitions lead to an unexpected phenomenon, called negative rectification. The results are analyzed through the corresponding time-dependent diffusion coefficient, information entropy (IE), etc. At a low temperature, anomalous diffusions occur in system. For the occurrence of the flux in certain parameter regimes, the larger the diffusion is, the smaller the corresponding IE is, and vice versa. We also present the selected parameter regimes for the emergence of the rectification and negative rectification. Additionally, we study the rectification of the interacting particles in the system and find that the flux may depend on the coupling strength and the number of the interacting particles, and that collective motions occur for the forward flux. Our work provides not only a way of the rectification for the transport of various particles (e.g., ions, electrons, photons, phonons, molecules, DNA chains, nanoswimmers, dust particles, etc.) in physics, chemistry, biology, and material science, but also a design of various circuits.

Partition of nanoswimmers between two immiscible phases: a soft and penetrable boundary

The behavior of run-and-tumble nanoswimmers which can self-propel in two immiscible liquids such as water-oil systems and are able to cross the interface is investigated by dissipative particle dynamics. At the steady-state, the partition ratio (φ) of nanoswimmers between the two immiscible liquids is obtained, and it depends on the active force (F_a), run time (τ), and swimmer-solvent interactions. The partition ratio φ is found to grow generally with increasing F_a²τ. At sufficiently large F_a, it is surprising to find that hydrophilic nanoswimmers prefer to stay in the oil phase rather than in the water phase. The partition ratio is also influenced by the hydrophobicity of swimmers in the oil phase. Two simple models are proposed to describe the partition ratio, including a near-equilibrium model and a kinetic model. Surface accumulation appearing at an impenetrable interface is also observed at the fluid-fluid interface for small F_a but it vanishes for sufficiently large F_a.

Hydrodynamic interaction induced breakdown of the state properties of active fluids

The mechanical pressure of active fluids in which swimmers are modeled by soft run-and-tumble spheres is investigated by dissipative particle dynamics simulations. The incremental pressure (Π) with respect to the system pressure with inactive swimmers comprises the direct contribution of the swimmers (π) and the indirect contribution of fluids associated with hydrodynamic interactions (HIs). The pressure can be determined from the bulk and confining wall and the former is always less than the latter. The π of dilute active dispersions is proportional to their active diffusivity while Π grows generally with propulsive force and run time. However, Π is always substantially less than π because of negative contributions to pressure by HIs. The wall pressure depends on the swimmer-wall interactions, verifying that pressure is not a state function for active spheres due to the HIs. Owing to the distinct flow patterns, Π varies with the swim-type (pusher and puller) subject to the same run-and-tumble parameters at high concentrations.