From the early tribological studies of Leonardo da Vinci to Amontons' law, friction has been shown to increase with increasing normal load. This trend continues to hold at the nanoscale, where friction can vary nonlinearly with normal load. Here we present nanoscale friction force microscopy (FFM) experiments for a nanoscale probe tip sliding on a chemically modified graphite surface in an atomic force microscope (AFM). Our results demonstrate that, when adhesion between the AFM tip and surface is enhanced relative to the exfoliation energy of graphite, friction can increase as the load decreases under tip retraction. This leads to the emergence of an effectively negative coefficient of friction in the low-load regime. We show that the magnitude of this coefficient depends on the ratio of tip-sample adhesion to the exfoliation energy of graphite. Through both atomistic- and continuum-based simulations, we attribute this unusual phenomenon to a reversible partial delamination of the topmost atomic layers, which then mimic few- to single-layer graphene. Lifting of these layers with the AFM tip leads to greater deformability of the surface with decreasing applied load. This discovery suggests that the lamellar nature of graphite yields nanoscale tribological properties outside the predictive capacity of existing continuum mechanical models.

Open-system approaches are gaining traction in the simulation of charge transport in nanoscale and molecular electronic devices. In particular, “extended reservoir” simulations, where explicit reservoir degrees of freedom are present, allow for the computation of both real-time and steady-state properties but require relaxation of the extended reservoirs. The strength of this relaxation, γ, influences the conductance, giving rise to a “turnover” behavior analogous to Kramers’ turnover in chemical reaction rates. We derive explicit, general expressions for the weak and strong relaxation limits. For weak relaxation, the conductance increases linearly with γ and every electronic state of the total explicit system contributes to the electronic current according to its “reduced” weight in the two extended reservoir regions. Essentially, this represents two conductors in series – one at each interface with the implicit reservoirs that provide the relaxation. For strong relaxation, a “dual” expression – one with the same functional form – results, except now proportional to 1/γ and dependent on the system of interest’s electronic states, reflecting that the strong relaxation is localizing electrons in the extended reservoirs. Higher order behavior (e.g., γ2 or 1/γ2) can occur when there is a gap in the frequency spectrum. Moreover, inhomogeneity in the frequency spacing can give rise to a pseudo-plateau regime. These findings yield a physically motivated approach to diagnosing numerical simulations and understanding the influence of relaxation, and we examine their occurrence in both simple models and a realistic, fluctuating graphene nanoribbon.

The performance of electric double-layer capacitors is strongly influenced by the choice of electrolyte, and electrolytes comprised of ionic liquid mixtures have shown promise for enabling high energy densities. Here we perform all-atom molecular dynamics simulations of ionic liquids containing 1-ethyl-3methylimidazolium and different fractions of bis(trifluoromethylsulfonyl)imide and tetrafluoroborate, in conjunction with planar graphene sheets as electrodes. We demonstrate that relative ion−electrode van der Waals interactions play an important role in the population of ions adsorbed in the first interfacial layer near uncharged electrodes. Near charged electrodes, we find that the ionic liquid mixtures generally exhibit integral capacitances intermediate between the two pure ionic liquids. We characterize cumulative ion densities near electrodes carrying various surface charges, revealing different charging mechanisms for different ionic liquids, which we relate to the relative sizes of the ions. Finally, in the ionic liquid mixtures we identify an effective ion exchanging phenomenon wherein charging of the electrodes leads to different trends in the densities of the two types of anions in the first interfacial layer, which enhances counterion adsorption and improves capacitance at the negative electrode.

Mixtures of an ionic liquid with an organic solvent are widely used as electrolytes in supercapacitors where they are often confined in porous electrodes with pore widths only slightly larger than the sizes of bare ions or solvent molecules. The composition of the electrolyte inside these pores, which may depend on the pore width and choice of electrolyte, can affect supercapacitor performance but remains poorly understood. Here, we perform all-atom molecular dynamics simulations of solutions of two different ionic liquids in acetonitrile under confinement between graphene sheets forming slit pores of various widths. We observe significant oscillations in the in-pore ionic liquid mole fraction with varying pore widths. Ions are excluded from very narrow pores, while for pore widths that tightly fit a single layer of ions, we observe an in-pore ionic liquid mole fraction over three times greater than that in the bulk. At slightly larger pore widths, we observe for different ionic liquids either a nearly complete exclusion of ions from the pore or a slight depletion of ions, while ion population again increases as pore width further increases. We develop an analytical model that can qualitatively predict the in-pore ionic liquid mole fraction based on the effective molar volumes and the pore wall interaction energies of each species. Our work suggests a new avenue for tuning the ionic liquid mole fraction in nanopores with potentially significant implications for designing systems involving nanoconfined liquid electrolytes such as supercapacitors where in-pore ion population can affect charging dynamics.