Bistability and hysteresis in the sliding friction of a dimer

Gonçalves, Sebastián; Fusco, Claudio; Bishop, A. R.; Kenkre, V. M.

doi:10.1103/physrevb.72.195418

Cited by 24 publications

(9 citation statements)

References 26 publications

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“…The interaction is only present in a pair of particles connected by an harmonic spring. Either diffusion or transport is currently studied: diffusion [21,22], transport and diffusion [23,24], bistability and hysteresis [25], and dimers in a ratchet scenario [26]. A futher example is the hard core particle-particle interaction with elastic collisions between neighboring particles [27].…”

Section: Introductionmentioning

confidence: 99%

The rich phenomenology of Brownian particles in nonlinear potential landscapes

Sancho

Palacio

2010

Eur. Phys. J. Spec. Top.

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Abstract. Non-interacting brownian particles follows Langevin equations fullfiling fluctuation-dissipation relation between friction and thermal noise. Under a linear potential (constant force) Einstein found a relation between diffusion and transport through mobility. In nonlinear potentials this prediction is only satisfied within the limit of very large constant external forces. Moreover, other more interesting behaviors do appear, such as: dispersionless transport, sorting, giant diffusion, subdiffusion, superdiffusion, subtransport, etc. All these phenomena depend on the characteristics of the nonlinear potential landscape: periodic or random, the symmetries and boundary conditions. Moreover, the presence of transport is the keystone of most of this phenomenology. In this review we present numerical simulations of these facts and theoretical analysis when possible.

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Section: Introductionmentioning

confidence: 99%

The rich phenomenology of Brownian particles in nonlinear potential landscapes

Sancho

Palacio

2010

Eur. Phys. J. Spec. Top.

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“…15,16 For the latter system the friction due to vibrations is maximum for a commensuration ratio a / b =2/3. However, such a friction is due to resonance of the internal oscillation of the dimer that happens at much higher sliding velocities than the ones used here, since our purpose is to compare to typical experimental setups.…”

Section: Discussionmentioning

confidence: 99%

Nanoscale sliding friction versus commensuration ratio: Molecular dynamics simulations

et al. 2006

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The pioneer work of Krim and Widom ͓Phys. Rev. B 38, 12184 ͑1988͔͒ unveiled the origin of the viscous nature of friction at the atomic scale. This generated extensive experimental and theoretical activity. However, fundamental questions remain open like the relation between sliding friction and the topology of the substrate, as well as the dependence on the temperature of the contact surface. Here we present results, obtained using molecular dynamics, for the phononic friction coefficient ͑ ph ͒ for a one-dimensional model of an adsorbatesubstrate interface. Different commensuration relations between adsorbate and substrate are investigated as well as the temperature dependence of ph . In all the cases we studied ph depends quadratically on the substrate corrugation amplitude, but is a nontrivial function of the commensuration ratio between substrate and adsorbate. The most striking result is a deep and wide region of small values of ph for substrate-adsorbate commensuration ratios between Ϸ0.65 and 0.9. Our results shed some light on contradictory results for the relative size of phononic and electronic friction found in the literature.

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“…Some important properties of the dynamics of selfconsistent quantum-classical systems can be demonstrated by the example of a two-site model. For two identical sites in the Holstein model, the problem was investigated both analytically and by computer simulation ( [5][6][7] and references therein). In quantum dimer, the case of sites with different electron energy was modeled [8,9].…”

Section: Introductionmentioning

confidence: 99%

Charge Transfer in Dimer with Dissipation

2019

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The study of the charge transfer processes in biomacromolecules such as DNA is essential for the development of nanobioelectronics, design and construction of DNA-based nanowires, memory devices, logical elements, etc. Mathematical and computer modeling of charge transfer in biopolymer chains is an important part of these investigations. Some properties of charge transfer can be demonstrated by modeling of two-site chain. Based on the semi-classical Holstein model we consider a system of two sites and charged particle (electron or hole) in which the oscillations of the first site are not related to the charge motion, and the parameters of the second site correspond to a small-radius polaron. The system steady states depending on the electron energy H at the second site are studied numerically. The dynamics of the charge initially localized at the first site is modeled. Various modes depending on H are demonstrated: charge tunneling, resonant transfer, and lack of transfer.

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Bistability and hysteresis in the sliding friction of a dimer

Cited by 24 publications

References 26 publications

The rich phenomenology of Brownian particles in nonlinear potential landscapes

The rich phenomenology of Brownian particles in nonlinear potential landscapes

Nanoscale sliding friction versus commensuration ratio: Molecular dynamics simulations

Charge Transfer in Dimer with Dissipation

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