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We study long polymer chains in a poor solvent, confined to the space betweentwo parallel hard walls. The walls are energetically neutral and pose only ageometric constraint which changes the properties of the coil-globule (or"$\theta$-") transition. We find that the $\theta$ temperature increasesmonotonically with the width $D$ between the walls, in contrast to recentclaims in the literature. Put in a wider context, the problem can be seen as adimensional cross over in a tricritical point of a $\phi^4$ model. We roughlyverify the main scaling properties expected for such a phenomenon, but we findalso somewhat unexpected very long transients before the asymptotic scalingregions are reached. In particular, instead of the expected scaling $R\simN^{4/7}$ exactly at the ($D$-dependent) theta point we found that $R$ increasesless fast than $N^{1/2}$, even for extremely long chains.Comment: 5 pages, 6 figure

The coil–globule transition of confined polymers