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- W4317951280 abstract "We perform exact Statistical Mechanics calculations for a system of elongated objects (hard needles) that are restricted to translate along a line and rotate within a plane, and that interact via both excluded-volume steric repulsion and harmonic elastic forces between neighbors. This system represents a one-dimensional model of a liquid crystal elastomer, and has a zero-tension critical point that we describe using the transfer-matrix method. In the absence of elastic interactions, we build on previous results by Kantor and Kardar, and find that the nematic order parameter $Q$ decays linearly with tension $sigma$. In the presence of elastic interactions, the system exhibits a standard universal scaling form, with $Q / |sigma|$ being a function of the rescaled elastic energy constant $k / |sigma|^Delta$, where $Delta$ is a critical exponent equal to $2$ for this model. At zero tension, simple scaling arguments lead to the asymptotic behavior $Q sim k^{1/Delta}$, which does not depend on the equilibrium distance of the springs in this model." @default.
- W4317951280 created "2023-01-25" @default.
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- W4317951280 date "2023-01-23" @default.
- W4317951280 modified "2023-10-16" @default.
- W4317951280 title "Hard-needle elastomer in one spatial dimension" @default.
- W4317951280 doi "https://doi.org/10.48550/arxiv.2301.09589" @default.
- W4317951280 hasPublicationYear "2023" @default.
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