Resumo: Em um de seus trabalhos seminais, Onsager, em 1949, procurou responder à questão se um sistema de cilindros rígidos colocados em uma solução se ordenaria se a densidade fosse suficientemente alta, chegando a uma resposta positiva. Esse estudo é relevante para o entendimento dos cristais líquidos nemáticos. Posteriormente, variantes desse problema foram considerados por Flory e Zwanzig, entre outros. O modelo de rede, no qual as varetas são formadas por k sítios consecutivos na rede quadrada foi estudado por Ghosh e Dhar (2007), que concluíram que para k>=7 o sistema passa, a densidade crescente, de uma fase isotrópica para uma fase nemática, apresentando nova transição para uma fase desordenada a altas densidades. A solução do modelo em redes aleatórias do tipo Bethe apresenta uma única transição para k>=4, e simulações computacionais mais recentes permitem um estudo mais detalhado da transição de alta densidade nas redes quadrada e triangular. Finalmente, descreveremos resultados recentes obtidos pela técnica de matriz de transferência para uma versão polidispersa do modelo, na qual o número de sítios por vareta não é constante, que também apresenta uma única transição.
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