Mesoscale Engines by Nonlinear Friction

Fleishman, D.G.; Klafter, J.; Porto, Markus; Urbakh, Michael

doi:10.1021/nl070003a

Cited by 21 publications

(23 citation statements)

References 14 publications

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“…4), due to the crossover from the inelasticity-dominated (FCL) to the friction-dominated (RCL) regime, is a strong experimental demonstration of the efficiency of this effect. We wish to remark that, in all previous experimental and theoretical work on friction-driven ratchets [32][33][34][35], the energy injection was provided by mechanisms different from an equilibrium bath: our proposal is the first which can be realized at the micro-and nano-scale in an equilibrium fluid, that is, without the application of any external field.…”

mentioning

confidence: 98%

Brownian Ratchet in a Thermal Bath Driven by Coulomb Friction

et al. 2013

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The rectification of unbiased fluctuations, also known as the ratchet effect, is normally obtained under statistical nonequilibrium conditions. Here we propose a new ratchet mechanism where a thermal bath solicits the random rotation of an asymmetric wheel, which is also subject to Coulomb friction due to solid-on-solid contacts. Numerical simulations and analytical calculations demonstrate a net drift induced by friction. If the thermal bath is replaced by a granular gas, the well-known granular ratchet effect also intervenes, becoming dominant at high collision rates. For our chosen wheel shape the granular effect acts in the opposite direction with respect to the friction-induced torque, resulting in the inversion of the ratchet direction as the collision rate increases. We have realized a new granular ratchet experiment where both these ratchet effects are observed, as well as the predicted inversion at their crossover. Our discovery paves the way to the realization of micro and submicrometer Brownian motors in an equilibrium fluid, based purely upon nanofriction.

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confidence: 98%

Brownian Ratchet in a Thermal Bath Driven by Coulomb Friction

et al. 2013

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“…Those experiments have also triggered the interest of many theoreticians who studied the problem with different kinds of noise [35][36][37].…”

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confidence: 99%

Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Cerino

Puglisi

2015

EPL

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-In macroscopic systems, velocity-dependent phenomenological forces F (v) are used to model friction, feedback devices or self-propulsion. Such forces usually include a dissipative component which conceals the fast energy exchanges with a thermostat at the environment temperature T , ruled by a microscopic Hamiltonian H. The mapping (H, T ) → F (v) -even if effective for many purposes -may lead to applications of stochastic thermodynamics where an incomplete fluctuating entropy production (FEP) is derived. An enlighting example is offered by recent macroscopic experiments where dissipation is dominated by solid-on-solid friction, typically modelled through a deterministic Coulomb force F (v). Through an adaptation of the microscopic Prandtl-Tomlinson model for friction, we show how the FEP is dominated by the heat released to the T -thermostat, ignored by the macroscopic Coulomb model. This problem, which haunts several studies in the literature, cannot be cured by weighing the time-reversed trajectories with a different auxiliary dynamics: it is only solved by a more accurate stochastic modelling of the thermostat underlying dissipation.

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“…Without external potential, model (19) with friction (20) has been studied for instance in [1,2,[27][28][29].…”

Section: Kramers Equation With Nonlinear Frictionmentioning

confidence: 99%

“…We have performed numerical simulations of the model (19), which are reported in Coulomb friction is present.…”

Section: Kramers Equation With Nonlinear Frictionmentioning

confidence: 99%

Coulomb Friction Driving Brownian Motors

Manacorda¹,

Puglisi²,

Sarracino³

2014

Commun. Theor. Phys.

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We review a family of models recently introduced to describe Brownian motors under the influence of Coulomb friction, or more general non-linear friction laws. It is known that, if the heat bath is modeled as the usual Langevin equation (linear viscosity plus white noise), additional non-linear friction forces are not sufficient to break detailed balance, i.e. cannot produce a motor effect. We discuss two possibile mechanisms to elude this problem. A first possibility, exploited in several models inspired to recent experiments, is to replace the heat bath's white noise by a "collisional noise", that is the effect of random collisions with an external equilibrium gas of particles. A second possibility is enlarging the phase space, e.g. by adding an external potential which couples velocity to position, as in a Klein-Kramers equation.In both cases, non-linear friction becomes sufficient to achieve a non-equilibrium steady state and, in the presence of an even small spatial asymmetry, a motor effect is produced.

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Mesoscale Engines by Nonlinear Friction

Cited by 21 publications

References 14 publications

Brownian Ratchet in a Thermal Bath Driven by Coulomb Friction

Brownian Ratchet in a Thermal Bath Driven by Coulomb Friction

Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Coulomb Friction Driving Brownian Motors

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