A parity breaking Ising chain Hamiltonian as a Brownian motor
Abstract
We consider the translationally invariant but parity (left-right symmetry) breaking Ising chain Hamiltonian equation H = -U2Σk sksk+1 - U3Σk sksk+1sk+3 equation and let this system evolve by Kawasaki spin exchange dynamics. Monte Carlo simulations show that perturbations forcing this system off equilibrium make it act as a Brownian molecular motor which, in the lattice gas interpretation, transports particles along the chain. We determine the particle current under various different circumstances, in particular as a function of the ratio U3/U2 and of the conserved magnetization M=Σk sk. The symmetry of the U3 term in the Hamiltonian is discussed
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