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Nematic Liquid Crystal in 2 + ε Dimensions
Author(s) -
Trimper S.
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221410202
Subject(s) - liquid crystal , renormalization group , condensed matter physics , isotropy , scaling , magnetic field , physics , phase transition , critical exponent , fixed point , critical point (mathematics) , constant (computer programming) , analogy , mathematical physics , mathematics , mathematical analysis , quantum mechanics , geometry , linguistics , philosophy , computer science , programming language
The isotropic‐nematic phase transition is studied in 2 + ε dimensions. Using the elastic free energy and applying renormalization group approach for a fixed length system in analogy to magnetic systems it is shown that the system exhibits a fixed point which is related to a certain temperature T * above which the one‐constant‐approximation is correct. The critical exponents and the equation of state can be calculated near to T *. Under the influence of an external magnetic field the scaling laws have to be modified.