The microscopic theory of the blue phases of chiral liquid crystal is proposed. Beginning with the potential between two molecules, by using the cell model of liquid, applying statistical physical method, the distribu...The microscopic theory of the blue phases of chiral liquid crystal is proposed. Beginning with the potential between two molecules, by using the cell model of liquid, applying statistical physical method, the distribution function and the free energy of the system are obtained. By using variational approach and zero-order approximation, the differential equation that the order parameter tensor of the blue phase can satisfy is obtained. Then we change the differential equation to the eigenequation problem in quantum mechanics. Considering the symmetry of the blue phases,the order parameter tensors of blue phases Ⅰ and Ⅱ can be made up of the eigenvectors. Our results are the same as the results of Ginzberg-Landau's phenomenological theory. The parameters in the order parameter tensors that we calculate in the located system are close to the predecessors' results.展开更多
A spin wave theory is proposed to study nematic liquid crystals. Since the orientation of the molecularlong axis and the angular momentum of the molecule rotating around its long axis have the same direction, operator...A spin wave theory is proposed to study nematic liquid crystals. Since the orientation of the molecularlong axis and the angular momentum of the molecule rotating around its long axis have the same direction, operatorscan be introduced to research the nematic liquid crystal. By transforming the intermolecular interaction potential,the Hamiltonian of the system has the same form as that of the ferromagnetic substance. The relation of the orderparameters to the reduced temperature can be obtained. It is in good agreement with the experimental results in thelow temperature region. In the high temperature region close to the transition point, by using the Hamiltonian, thetransition point can be obtained, which is near to the Maier-Saupe's result.展开更多
文摘The microscopic theory of the blue phases of chiral liquid crystal is proposed. Beginning with the potential between two molecules, by using the cell model of liquid, applying statistical physical method, the distribution function and the free energy of the system are obtained. By using variational approach and zero-order approximation, the differential equation that the order parameter tensor of the blue phase can satisfy is obtained. Then we change the differential equation to the eigenequation problem in quantum mechanics. Considering the symmetry of the blue phases,the order parameter tensors of blue phases Ⅰ and Ⅱ can be made up of the eigenvectors. Our results are the same as the results of Ginzberg-Landau's phenomenological theory. The parameters in the order parameter tensors that we calculate in the located system are close to the predecessors' results.
文摘A spin wave theory is proposed to study nematic liquid crystals. Since the orientation of the molecularlong axis and the angular momentum of the molecule rotating around its long axis have the same direction, operatorscan be introduced to research the nematic liquid crystal. By transforming the intermolecular interaction potential,the Hamiltonian of the system has the same form as that of the ferromagnetic substance. The relation of the orderparameters to the reduced temperature can be obtained. It is in good agreement with the experimental results in thelow temperature region. In the high temperature region close to the transition point, by using the Hamiltonian, thetransition point can be obtained, which is near to the Maier-Saupe's result.
