| Full text | |
| Author(s): |
Liarte, Danilo B.
;
Petri, Alberto
;
Salinas, Silvio R.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Brazilian Journal of Physics; v. 53, n. 3, p. 7-pg., 2023-06-01. |
| 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 similar to k(1/Delta), which does not depend on the equilibrium distance of the springs in this model. (AU) | |
| FAPESP's process: | 22/09615-7 - Geometry, topology and complex fluids: applications to liquid crystals and disordered elastic systems |
| Grantee: | Danilo Barbosa Liarte |
| Support Opportunities: | Scholarships in Brazil - Young Researchers |
| FAPESP's process: | 21/14285-3 - Geometry, topology and complex fluids: applications to liquid crystals and disordered elastic systems |
| Grantee: | Danilo Barbosa Liarte |
| Support Opportunities: | Research Grants - Young Investigators Grants |