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The configuration space of the system is assumed large enough so that for each of the sampled elements the sphere of radius rM does not cross the boundary of the system.
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The configuration space of the system is assumed large enough so that for each of the sampled elements the sphere of radius r M does not cross the boundary of the system.
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We have used the two-body entropy expression given by Eq. ; the same result can be obtained starting from the expression but in this case a further Lagrange multiplier enforcing a normalization condition on g (r) has to be introduced.
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We have used the two-body entropy expression given by Eq.; the same result can be obtained starting from the expression but in this case a further Lagrange multiplier enforcing a normalization condition on g (r) has to be introduced.
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23
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77957203540
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If we perform the same expansion starting from the multinomial distribution [Eq. ] we obtain a multivariate Gaussian distribution in which the correlations between different shells are imposed by the constraint [Eq. ]. However, in the asymptotic limit the off-diagonal elements of the covariance matrix become negligible and we obtain again the result .
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If we perform the same expansion starting from the multinomial distribution [Eq.] we obtain a multivariate Gaussian distribution in which the correlations between different shells are imposed by the constraint [Eq.]. However, in the asymptotic limit the off-diagonal elements of the covariance matrix become negligible and we obtain again the result.
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