Abstract

Uncovering new mechanisms for rectification of stochastic fluctuations has been a longstanding problem in non-equilibrium statistical mechanics. Here, using a model parity violating metamaterial that is allowed to interact with a bath of active energy consuming particles, we uncover new mechanisms for rectification of energy and motion. Our model active metamaterial can generate energy flows through an object in the absence of any temperature gradient. The nonreciprocal microscopic fluctuations responsible for generating the energy flows can further be used to power locomotion in, or exert forces on, a viscous fluid. Taken together, our analytical and numerical results elucidate how the geometry and inter-particle interactions of the parity violating material can couple with the non-equilibrium fluctuations of an active bath and enable rectification of energy and motion.

Highlights

  • Identifying mechanisms that rectify stochastic fluctuations is a long-standing problem in nonequilibrium statistical mechanics, with many biological, chemical, and physical applications [1,2,3,4,5]

  • Substantial advances have been made in understanding the rectification of motion from unbiased nonequilibrium fluctuations along with spatial or temporal symmetry breaking [4,11,12]

  • Using numerical calculations and simulations, we reveal the presence of net energy fluxes at the nonequilibrium steady state, whose origin we study analytically

Read more

Summary

INTRODUCTION

Identifying mechanisms that rectify stochastic fluctuations is a long-standing problem in nonequilibrium statistical mechanics, with many biological, chemical, and physical applications [1,2,3,4,5]. We exploit an opportunity provided by the combination of parity-violating metamaterials and nonequilibrium fluctuations to uncover new many-body principles for energy rectification. Compactly represented as a diagrammatic expansion for the energy fluxes, show how nonequilibrium metamaterials with parityviolating dynamics are able to rectify energy and motion when allowed to interact with a bath of active particles. Our energy flow does not require a temperature gradient This flux can be routed through an otherwise isolated passive object, with the active network acting as a current source. Our results establish a new mechanism for rectification of energy and motion in nonequilibrium parity-violating metamaterials. Our mechanism exploits inherent asymmetries in the nonequilibrium fluctuations of the active bath, parity-violating dynamics, and network geometry to achieve rectification. VI and VII, we show that when the particles transmitting the energy flux are allowed to interact with a viscous low Reynolds number fluid, the nonreciprocal motions responsible for the energy flux can be utilized to pump the viscous fluid

MODEL SYSTEMS AND ENERGY FLUX
LINEAR RESPONSE THEORY FOR ENERGY FLUX
INGREDIENTS FOR ENERGY RECTIFICATION AND THEIR ROLES
Comments on the relation to undamped isolated gyroscopic metamaterials
A DIAGRAMMATIC APPROACH TO COMPUTE THE ENERGY FLUX
ENERGY FLUX IN A PASSIVE SEGMENT COUPLED TO AN ACTIVE NETWORK
Nonreciprocal motion as a swimming protocol
Force generation in a viscous medium using the rectified energy fluxes
VIII. CONCLUSION
B Av γv þ ηÞ
Fourier modes for energy flux
Integrating over the Fourier modes
Moments of the energy transport t 0
Entropy production rate
The connection and its application to honeycomb lattices
Derivation of the connection
Derivation of diagrammatic expansion
Path rules and properties
Flux of polygon diagrams
Contribution from higher-order diagrams
Exact flux for 1D networks
Generalization of 2D planar space
Generalization of OU color noise
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call