Direct measurement of correlation length in one-dimensional contact process

초록

We investigate the contact process in one dimension by a quantity K(L, t) to measure the spatial correlation length. K(L, t) = L sigma(2)/<rho >(2) is defined as a function of time, where L, rho, sigma(2), and <...> are the system size, the particle density, the variance of rho, and the ensemble average, respectively. At the critical point, K(t) follows a power law of K(t) similar to t(1/z) with z = 1.5821(16). We estimate the correlation length exponent v(perpendicular to) = 1.1014(33) using the relation K-stat(p) similar to (p(c) - p)(-v perpendicular to )in the subcritical regime, where K-stat is the stationary value of K. K(t) is proportional to the correlation length therefore we could obtain the information of the correlation length directly using K(t).

키워드