The chain sucker: translocation dynamics of a polymer chain into a long narrow channel driven by longitudinal flow

Using analytical techniques and Langevin dynamics simulations, we investigate the dynamics of polymer translocation into a narrow channel of width R embedded in two dimensions, driven by a force proportional to the number of monomers in the channel. Such a setup mimics typical experimental situations in nano/microfluidics. During the translocation process if the monomers in the channel can sufficiently quickly assume steady state motion, we observe the scaling τ ～ N∕F of the translocation time τ with the driving force F per bead and the number N of monomers per chain. With smaller channel width R, steady state motion cannot be achieved, effecting a nonuniversal dependence of τ on N and F. From the simulations we also deduce the waiting time distributions under various conditions for the single segment passage through the channel entrance. For different chain lengths but the same driving force, the curves of the waiting time as a function of the translocation coordinate s feature a maximum located at identical s(max), while with increasing the driving force or the channel width the value of s(max) decreases.     

Electrophoretic motion of a sphere in a microchannel under the gravitational field

This paper considered electrophoretic motion of a sphere in an aqueous electrolyte solution in a microchannel under the gravitational field. In an externally applied electric field, the negatively charged sphere will move toward the anode. At the same time, the sphere will move toward the lower channel wall due to the density difference and the gravity. When the sphere moves very close to the lower wall, the buoyancy, the electric double layer interaction force, and the van der Waals force balance the gravity force, so the sphere moves parallel to the lower wall. A theoretical model for the electrophoretic motion of a sphere in a microchannel, with the consideration of the electrophoretic retardation effect, is presented in this paper. It was found that the sphere's motion in the microchannel is affected by its size, the density difference, the zeta potentials of the sphere and the channel wall, and the applied electric strength. The effects of these factors on the sphere's transport distance in the microchannel are discussed. It was found that the spheres with the same surface charge could be separated by their size within a certain range of ka in aqueous solutions in the microchannel.     

Different elution modes and field programming in gravitational field-flow fractionation. 2. Experimental verification of the range of conditions for flow-rate and carrier liquid density programming

Gravitational field-flow fractionation utilises the Earth's gravitational field as an external force that causes the settlement of particles towards the channel accumulation wall. Hydrodynamic lift forces oppose this action by elevating of particles from the channel accumulation wall. Therefore there are several possibilities to modulate the resulting force field acting on particles in gravitational field-flow fractionation. Regarding the force field programming in gravitational field-flow fractionation, this work focused on two topics: changes of the difference between particle density and carrier liquid density in Brownian and focusing elution modes and influencing of lift forces achieved by changing the flow-rate in focusing elution mode. We have found and described the experimental conditions applicable to force field programming in the case of separations of silica gel particles by gravitational field-flow fractionation. It was shown that the effect of carrier liquid viscosity in the water-methanol system is implemented as an additional factor enhancing the desired effect of carrier liquid density. Some other forces influencing the retention behaviour of the model particles are discussed.     

On the nonequilibrium thermodynamics of thermocrystallization motion of inclusions in solids

The methods of nonequilibrium thermodynamics are used to describe the temperature gradientinduced motion of inclusions and the cross effect in solids occurring in the state of premelting. Inclusion motion is caused by a nonuniform disjoining pressure in thin unfrozen interlayers that are formed at a nonuniformly heated inclusion. The cross effect is related to the generation of a local temperature field upon the inclusion motion under the action of an external force in a uniform solid. It is shown that the Onsager relations are valid for the nonequilibrium processes under consideration.     

Different elution modes and field programming in gravitational field-flow fractionation. Effect of channel angle

Gravitational field-flow fractionation (GrFFF) has been shown to be useful for separation and characterization of various types of micrometer-sized particles. It has been recognized however that GrFFF is less versatile than other members of FFF because the external field (Earth's gravity) in GrFFF is relatively weak and is not tunable (constant), which makes the force acting on the particles constant. A few approaches have been suggested to control the force acting on particles in GrFFF. They include (1) changing the angle between the Earth's gravitational field and the longitudinal axis of the channel, and (2) the use of carrier liquid having different densities. In the hyperlayer mode of GrFFF, the hydrodynamic lift force (HLF) also act on particles. The existence of HLF allows other means of changing the force acting on the particles in GrFFF. They include (1) the flow rate programming, or (2) the use of channels having non-constant cross-section. In this study, with polystyrene latex beads used as model particles, the channel angle was varied to study its effect on elution parameters (such as selectivity, band broadening and resolution) in the steric or in the hyperlayer mode of GrFFF. In addition, the effects of the channel thickness and the flow rate on the elution parameters were also investigated. It was found that, in the steric mode, the resolution decreases as the flow rate increases due to increased zone broadening despite of the increase in the selectivity. At a constant volumetric flow rate, both the zone broadening and the selectivity increase as the channel thickness increases, resulting in the net increase in the resolution. It was also found that the retention time decreases as the channel angle increases in both up- and down-flow positions. The zone broadening tends to increase almost linearly with the channel angle, while no particular trends were found in selectivity. As a result, the resolution decreases as the channel angle increases.     

Effect of direct current dielectrophoresis on the trajectory of a non-conducting colloidal sphere in a bent pore

Dielectrophoresis has shown a wide range of applications in microfluidic devices. Force approximations utilizing the point-dipole method in dielectrophoresis have provided convenient predictions for particle motion by neglecting interactions between the particle and its surrounding electric and flow fields. The validity of this approach, however, is unclear when the particle size is comparable to the characteristic length of the channel and when the particle is in close proximity to the channel wall. To address this issue, we apply an accurate numerical approach based on the boundary-element method (BEM) to solve the coupled electric field, flow, and particle motion. This method can handle much closer particle-wall distances than the other numerical approaches such as the finite-element method. Using the BEM and integrating the Maxwell stress tensor, we simulate an electrokinetic, spherical particle moving within a bent cylindrical pore to investigate how the dielectrophoretic force affects the particle's trajectory. In the simulation, both the particle and the channel wall are non-conducting, and the electric double layers adjacent to the solid surfaces are assumed to be thin with respect to the particle radius and particle-wall gap. The results show that as the particle comes close to the wall, its finite size has an increasingly important effect on its own transient motion and the point-dipole approximation may lead to significant error.     

Anion-promoted cation motion and conduction in zeolites

The motion of sodium cations in sodalite and cancrinite has been investigated by force field calculations, solid-state NMR, and impedance spectroscopy. Special emphasis is dedicated to the influence of anions on sodium mobilities. Local cation motion is promoted when they interact with anions. However, not all systems with high local mobilities exhibit good ion conductivities, as cooperativity of the motion appears to be an important factor, as well. The activation barrier for local sodium motion (calculations) and long-range transport (dc conductivities) is lowered in sodalite when halogenide anions, Cl(-), Br(-), or I(-), are present. The activation barriers increase with increasing size of the anion and decreasing coordination in the transition state. On the basis of (23)Na solid-state NMR data, all the sodium ions in the dense sodalite structure are rather rigid up to 470 K. All the cations in chromate sodalite, and Na(+) in the small cancrinite epsilon-cages without anion interactions, show a restricted local motion at higher temperatures. There is a selective high local motion of Na(+) in the neighborhood of chromate anions in the more open channel system of cancrinite. These results suggest that sodium migration can be enhanced, at least locally, in open channel systems by anion interactions. A dynamics coupling between anion reorientation and cation mobility was not observed.     

Graphene and Graphite Supports for Silicene Stabilization: A Computation Study

The methods of molecular dynamics were used to study structural changes observed in bilayer silicene and thin slices of an ordinary Si crystal when transferred to the graphite substrate. The shape of the radial distribution function indicates noticeable distortion of the long-range order in the Si crystalline film. The first high peak of this function indicates honeycomb lattice in silicene. The motion the lithium ion in the silicene-graphene channel has been studied. The external strengthening of the silicene channel with graphene sheets not only increases its firmness but also improves the passage of intercalated lithium ions through this channel. The stresses in the channel walls are substantially decreased due to vacancy defects. Defects in the form of hexa-vacancies preserve their shape better than others defects when lithium ions pass through the channel.     

Diffusion in one-dimensional channels with zero-mean time-periodic tilting forces

We investigate the motion of overdamped Brownian particles in a one-dimensional channel under a zero-mean time-periodic tilting force F(t). By introducing a simple harmonic signal, strong enhancement of diffusion is possible for relatively large values of the Peclet number. Direct numerical simulations over the corresponding Fokker-Planck equation show that the diffusion enhancement is induced by a type of nonlinear resonance effect involving the tilting force and the density gradient.     

弱电场驱动下高分子链在周期管道内输运的模拟研究

采用Langevin动力学方法模拟研究了弱电场驱动下高分子链在无限长周期管道中的输运过程. 管道由长度相等的α和β两部分周期排列而成, 其中高分子链与α管道间存在相互吸引作用, 而与β管道间存在纯排斥作用. 模拟结果表明, 高分子链在输运过程中存在明显的受限阶段, 其逃离受限的方式与管道宽度有关且满足不同的规律. 对于窄管道, 高分子链在输运过程中呈直线伸展构型且运动具有“蛇爬行”特征. 高分子链逃离受限过程伴随着整条链的运动, 从而导致迁移率随高分子链长呈周期变化, 而且在迁移率极值位置, 高分子链投影长度与管道半周期之间存在简单的整数倍关系. 对于宽管道, 高分子链在输运过程中出现弯折构型且运动具有“蠕虫运动”特征. 当链长比较长时, 高分子链可通过链前端部分的伸长逃离受限, 从而导致迁移率与高分子链长度无关. 模拟结果可能有助于利用周期管道对不同长度的高分子链进行分离及可控输运.     

Near-Contact Motion of Surfactant-Covered Spherical Drops: Ionic Surfactant

A lubrication analysis is presented for near-contact axisymmetric motion of spherical drops covered with an insoluble nondiffusing surfactant. The surfactant equation of state is arbitrary; detailed results are presented for ionic surfactants. The qualitative behavior of the system is determined by the dimensionless force parameter &Fcirc;, the external force normalized by the maximum resistance force generated by Marangoni stresses. For &Fcirc; > 1 drops coalesce on a time scale commensurate with the coalescence time tau0 for drops with clean interfaces. For &Fcirc; < 1, the system evolves on the time scale tau0 until Marangoni stresses approximately balance the external force; thereafter a slow evolution occurs on the Stokes time scale. In the long-time regime a self-similar surfactant concentration profile is attained that scales with the extent of the near-contact region. The gap width decreases exponentially with time but slower than for rigid particles because of surfactant backflow. For &Fcirc; < 1, drop coalescence does not occur without van der Waals attraction. Quantitative results depend only moderately on the surfactant equation of state. Copyright 1999 Academic Press.     

Different elution modes and field programming in gravitational field-flow fractionation. III. Field programming by flow-rate gradient generated by a programmable pump.

Gravitational field-flow fractionation (GFFF) utilizes the Earth's gravitational field as an external force that causes the settlement of particles towards the channel accumulation wall. Hydrodynamic lift forces oppose this action by elevating particles away from the channel accumulation wall. These two counteracting forces enable modulation of the resulting force field acting on particles in GFFF. In this work, force-field programming based on modulating the magnitude of hydrodynamic lift forces was implemented via changes of flow-rate, which was accomplished by a programmable pump. Several flow-rate gradients (step gradients, linear gradients, parabolic, and combined gradients) were tested and evaluated as tools for optimization of the separation of a silica gel particle mixture. The influence of increasing amount of sample injected on the peak resolution under flow-rate gradient conditions was also investigated. This is the first time that flow-rate gradients have been implemented for programming of the resulting force field acting on particles in GFFF.     

Reciprocating motion on the nanoscale

This paper analyzes the confined motion of a Brownian particle fluctuating between two conformational states with different potential profiles and different position-dependent rate constants of the transitions, the fluctuations arising from both thermal (equilibrium) and external (nonequilibrium) noise. The model illustrates a mechanism to transduce, on the nanoscale, the energy of nonequilibrium fluctuations into mechanical energy of reciprocating motion. Expressions for the reciprocating velocity and the efficiency of energy conversion are derived. These expressions are treated in more detail in the slow-fluctuation (quasi-equilibrium) regime, by simple perturbation theory arguments, and in the fast fluctuation limit, in terms of the potential of mean force. A notable observation is that the generalized driving force of the reciprocating motion is caused by two sources: the energy contribution due to the difference between the potential profiles of the states and the entropic contribution due to the difference between the position-dependent rate constants. Two illustrative examples are presented, where one of the two sources can be ignored and an exact solution is allowed. Among other aspects, we also discuss the ways to construct a molecular motor based on the reciprocating engine.