A parity breaking Ising chain Hamiltonian as a Brownian motor
Statistical Mechanics
2015-06-22 v1
Abstract
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 and of the conserved magnetization . The symmetry of the term in the Hamiltonian is discussed
Keywords
Cite
@article{arxiv.1407.3632,
title = {A parity breaking Ising chain Hamiltonian as a Brownian motor},
author = {F. Cornu and H. J. Hilhorst},
journal= {arXiv preprint arXiv:1407.3632},
year = {2015}
}
Comments
11 pages, 4 figures