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We construct families of Gaussian processes x(t,n) which model a class of infinite strings of stochastically fluctuating, interacting beads. We examine covariances and draw conclusions about the subdiffusive nature of the processes x(t,n) and x(t,n 1 ) − x(t,n 2 ). This work was stimulated by recent work of McKinley, Yao, and Forest.doi:10.4310/cms.2011.v9.n2.a8 fatcat:n7jb2fcsujar7ly664dtgdbcee