 94294 Van Gulck S., Naudts J.
 Nonequilibrium dynamics of the
onedimensional Glauber model
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Sep 21, 94

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Abstract. We study the relaxation of the onedimensional Glauber model
towards equilibrium at finite temperature, taking averages over
all possible initial configurations. Let C(q,t) denote the
spatial Fourier transform of the equaltime twopoint
correlation function <\sigma_0\sigma_n>_t. It can
be written as the Laplace transform of a relaxation spectrum
\rho_q(\omega). The latter turns out to contain a
nonintegrable singularity at a qdependent frequency
\omega=\theta(q). The singularity originates from the
selfterm in the equations of motion and has important
consequences. E.g., it produces the dominating finitesize
correction to C(q,t). As a consequence, we are able to
formulate a finitesize scaling theory in the limit of zero
temperature, long times and small wave vectors.
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