Odd Elasticity of a Catalytic Micromachine

We perform numerical simulations of a model micromachine driven by catalytic chemical reactions. Our model includes a mechano-chemical coupling between the structural variables and the nonequilibrium variable describing the catalytic reactions. The time-correlation functions of the structural variables are calculated and further analyzed in terms of odd Langevin dynamics. We obtain the effective odd elastic constant that manifests the broken time-reversal symmetry of a catalytic micromachine. Within the simulation, we separately estimate the quantity called nonreciprocality and show that its behavior is similar to that of the odd elasticity. Our approach suggests a new method to extract the nonequilibrium properties of a micromachine only by measuring its structural dynamics.

Automated summary

We conducted numerical simulations on a model micromachine driven by catalytic chemical reactions. The model reveals a mechano-chemical coupling and calculates time-correlation functions of the structural variables, analyzing them using odd Langevin dynamics. Our findings include the effective odd elastic constant showing the broken time-reversal symmetry of a catalytic micromachine. We also estimate the nonreciprocality and demonstrate its similarity to odd elasticity. This approach offers a new method to assess the nonequilibrium properties of a micromachine solely through measuring its structural dynamics.