%0 Journal Article
%T A parity breaking Ising chain Hamiltonian as a Brownian motor
%A F. Cornu
%A H. J. Hilhorst
%J Physics
%D 2014
%I arXiv
%R 10.1209/0295-5075/108/10002
%X We consider the translationally invariant but parity (left-right symmetry) breaking Ising chain Hamiltonian \begin{equation} {\cal H} = -U_2\sum_{k} s_{k}s_{k+1} - U_3\sum_{k} s_{k}s_{k+1}s_{k+3} \nonumber \end{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 $U_3/U_2$ and of the conserved magnetization $M=\sum_k s_k$. The symmetry of the $U_3$ term in the Hamiltonian is discussed
%U http://arxiv.org/abs/1407.3632v1