Correlation functions and long-range order for a nematic in nonequilibrium stationary states
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2006
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| _version_ | 1876435565195296768 |
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| author | H. Híjar |
| author_facet | H. Híjar |
| contents | Correlation functions and long-range order for a nematic in nonequilibrium stationary states H. Híjar R.F. Rodríguez Física, Astronomía y Matemáticas fluctuations nonequilibrium Liquid crystals correlation functions A thermotropic nematic thin film under the action of an external thermal gradient is studied theoretically. We use a fluctuating hydrodynamic approach and a time-scale perturbation formalism to calculate the orientation, temperature and velocity autocorrelation functions as well as the temperature-velocity fluctuations cross correlation function of the liquid crystal in the nonequilibrium state induced by the stationary heat flux. This method allows us to find, on slow time-scales, a contracted description in terms of the slow variables only, with a reduced dynamic matrix which can be constructed by the perturbation procedure. The wave number and frequency dependence of these correlation functions is evaluated analytically and their explicit functional form in the configuration space is also calculated for both equilibrium and steady states of the fluid. We show that, out of equilibrium, all these correlactions are long-ranged. We calculate the effects of this long-range behavior on the light scattering structure factor. Our results also show that the temperature and velocity autocorrelations contain two contributions, namely, a local equilibrium and a mode coupling contribution. From our quantitative estimations of these correlations, it can be established that the contribution due to the mode coupling mechanism is dominant over that based on spatial inhomogeneities in the fluctuation-dissipation relation. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296002 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| format | Artículo científico |
| id | redalyc_57028296002 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Correlation functions and long-range order for a nematic in nonequilibrium stationary states H. Híjar Física, Astronomía y Matemáticas fluctuations nonequilibrium Liquid crystals correlation functions Correlation functions and long-range order for a nematic in nonequilibrium stationary states H. Híjar R.F. Rodríguez Física, Astronomía y Matemáticas fluctuations nonequilibrium Liquid crystals correlation functions A thermotropic nematic thin film under the action of an external thermal gradient is studied theoretically. We use a fluctuating hydrodynamic approach and a time-scale perturbation formalism to calculate the orientation, temperature and velocity autocorrelation functions as well as the temperature-velocity fluctuations cross correlation function of the liquid crystal in the nonequilibrium state induced by the stationary heat flux. This method allows us to find, on slow time-scales, a contracted description in terms of the slow variables only, with a reduced dynamic matrix which can be constructed by the perturbation procedure. The wave number and frequency dependence of these correlation functions is evaluated analytically and their explicit functional form in the configuration space is also calculated for both equilibrium and steady states of the fluid. We show that, out of equilibrium, all these correlactions are long-ranged. We calculate the effects of this long-range behavior on the light scattering structure factor. Our results also show that the temperature and velocity autocorrelations contain two contributions, namely, a local equilibrium and a mode coupling contribution. From our quantitative estimations of these correlations, it can be established that the contribution due to the mode coupling mechanism is dominant over that based on spatial inhomogeneities in the fluctuation-dissipation relation. 2006 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028296002 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.52 |
| title | Correlation functions and long-range order for a nematic in nonequilibrium stationary states |
| topic | Física, Astronomía y Matemáticas fluctuations nonequilibrium Liquid crystals correlation functions |
| url | https://www.redalyc.org/articulo.oa?id=57028296002 |