Finite-size scaling and universality for the totally asymmetric simple-exclusion process.
The applicability of the concepts of finite-size scaling and universality to nonequilibrium phase transitions is considered in the framework of the one-dimensional totally asymmetric simple-exclusion process with open boundaries. In the thermodynamic limit there are boundary-induced transitions both of the first and second order between steady-state phases of the model. We derive finite-size scaling expressions for the current near the continuous phase transition and for the local density near the first-order transition under different stochastic dynamics and compare them to establish the existence of universal functions. Next we study numerically the finite-size behavior of the Lee-Yang zeros of the normalization factor for the different steady-state probabilities.
Brankov
Jordan
J
Institute of Mechanics, Bulgarian Academy of Sciences, Academician G. Bonchev Street 4, 1113 Sofia, Bulgaria. brankov@bas.bg
Bunzarova
Nadezhda
N