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We show using computer simulations and mean field theory that a system ofparticles in two dimensions, when confined laterally by a pair of parallel hardwalls within a quasi one dimensional channel, possesses several anomalousstructural and mechanical properties not observed in the bulk. Depending on thedensity $\rho$ and the distance between the walls $L_y$, the system showsstructural characteristics analogous to a weakly modulated liquid, a stronglymodulated smectic, a triangular solid or a buckled phase. At fixed $\rho$, achange in $L_y$ leads to many reentrant discontinuous transitions involvingchanges in the number of layers parallel to the confining walls dependingcrucially on the commensurability of inter-layer spacing with $L_y$. The solidshows resistance to elongation but not to shear. When strained beyond theelastic limit it fails undergoing plastic deformation but surprisingly, as thestrain is reversed, the material recovers completely and returns to itsoriginal undeformed state. We obtain the phase diagram from mean field theoryand finite size simulations and discuss the effect of fluctuations.

Anomalous structural and mechanical properties of solids confined in quasi one dimensional strips