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Finotello D, Zeng H, Zalar B, Iannacchione GS. Nematic Structures in Randomly Interconnected Porous Hosts. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/10587250108028284] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- D. Finotello
- a Department of Physics , Kent State University , Kent , OH , 44242
| | - H. Zeng
- a Department of Physics , Kent State University , Kent , OH , 44242
| | - B. Zalar
- b Jozef Stefan Institute, University of Ljubljana , Jamova 39, 1000 , Ljubljana , Slovenia
| | - G. S. Iannacchione
- c Department of Physics , Worcester Polytechnic Institute , Worcester , MA , 01609
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Cieplak M, Maritan A, Swift MR, Toigo F, Banavar JR. Effects of pore walls and randomness on phase transitions in porous media. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002; 66:056124. [PMID: 12513573 DOI: 10.1103/physreve.66.056124] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/12/2002] [Indexed: 05/24/2023]
Abstract
We study spin models within the mean field approximation to elucidate the topology of the phase diagrams of systems modeling the liquid-vapor transition and the separation of 3He-4He mixtures in periodic porous media. These topologies are found to be identical to those of the corresponding random field and random anisotropy spin systems with a bimodal distribution of the randomness. Our results suggest that the presence of walls (periodic or otherwise) are a key factor determining the nature of the phase diagram in porous media.
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Affiliation(s)
- Marek Cieplak
- Department of Physics and Materials Research Institute, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
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Schöll-Paschinger E, Levesque D, Weis JJ, Kahl G. Phase diagram of a symmetric binary fluid in a porous matrix. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2001; 64:011502. [PMID: 11461257 DOI: 10.1103/physreve.64.011502] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2000] [Revised: 11/27/2000] [Indexed: 05/23/2023]
Abstract
The phase behavior of a binary symmetric fluid in thermal equilibrium with a porous matrix has been studied with the optimized random phase approximation and grand canonical Monte Carlo simulations. Depending on the matrix properties and the matrix-fluid and fluid-fluid interactions we find three types of phase diagram characterized by a tricritical point, a tricritical point with a triple point, or a critical end point. Small changes in the properties of the matrix or in the interactions are demonstrated to lead to drastic modifications of the phase diagram of the fluid, in qualitative agreement with observations in experimental studies. We show, in particular, that the change between the different types of phase diagram is triggered not only by the fluid-fluid interactions (internal parameters) but also by the properties of the matrix and of the matrix-fluid potentials (external parameters).
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Affiliation(s)
- E Schöll-Paschinger
- Institut für Theoretische Physik and Center for Computational Materials Science, TU Wien, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria
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Rżysko W, de Pablo JJ, Sokolowski S. Critical behavior of simple fluids confined by microporous materials. J Chem Phys 2000. [DOI: 10.1063/1.1321035] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Tremblay L, Socol SM, Lacelle S. Simple views on critical binary liquid mixtures in porous glass. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000; 61:656-659. [PMID: 11046308 DOI: 10.1103/physreve.61.656] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/05/1999] [Indexed: 05/23/2023]
Abstract
A simple scenario, different from previous attempts, is proposed to resolve the problem of the slow phase separation dynamics of binary liquid mixtures confined in porous Vycor glass. We demonstrate that simply mutual diffusion, renormalized by critical composition fluctuations and geometrical hindrance of the porous glass, accounts for the slow phase separation kinetics. Capillary invasion studies of porous Vycor glass by the critical isobutyric acid-water mixture, close to the consolute solution temperature, corroborate our analysis.
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Affiliation(s)
- L Tremblay
- Departement de Chimie, Universite de Sherbrooke, Sherbrooke, Quebec, Canada J1K 2R1
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Alvarez M, Levesque D, Weis JJ. Monte Carlo approach to the gas-liquid transition in porous materials. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:5495-504. [PMID: 11970424 DOI: 10.1103/physreve.60.5495] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/01/1999] [Indexed: 04/18/2023]
Abstract
The gas-liquid transition of a "quenched-annealed"(QA) system is studied by grand-canonical Monte Carlo simulation. The "quenched" particles are hard spheres within configurations chosen randomly from those of an equilibrium hard-sphere system at given density. The fluid particles interact with the matrix particles by a hard-core potential and with each other by a hard-core potential and an additional potential of a Lennard-Jones type. Our results are in good qualitative agreement with various theoretical approaches. With increasing matrix density the critical temperature is lowered compared to that of the bulk system and the gap between the gas and liquid densities narrowed. Our simulations confirm, for this QA system, the possibility of two fluid-fluid transitions substituting for the unique gas-liquid transition of the bulk system. They demonstrate the necessity to average over a significant number of matrix realizations in order to obtain a quantitative location of the phase coexistence lines.
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Affiliation(s)
- M Alvarez
- Laboratoire de Physique Théorique, Bâtiment 210, Université de Paris-Sud, 91405 Orsay Cedex, France
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Zeng H, Zalar B, Iannacchione GS, Finotello D. Effects of quenched disorder on the orientational order of the octylcyanobiphenyl liquid crystal. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:5607-18. [PMID: 11970438 DOI: 10.1103/physreve.60.5607] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/1999] [Indexed: 04/18/2023]
Abstract
Deuteron NMR (DNMR) measurements were performed with high-temperature and spectral resolution on the octylcyanobiphenyl (8CB) liquid crystal confined to the randomly interconnected pores of silica aerogel as a function of temperature and silica density. The aerogel density was varied by one order of magnitude and the temperature spanned the isotropic (I), nematic (N), and smectic-A (SmA) phases of 8CB. For all samples, the liquid crystal was confined to pores smaller than the micron-sized magnetic coherence length. Thus the observed line shapes reflect the director pattern, n(r-->), and the orientational order, Q, as dictated by the porous host. The DNMR spectral patterns are consistent with powder line shapes representative of a randomized n(r-->) characterized by a single Q. The nematic domains formed are of finite dimension that likely exceeds the confining size. The weakly first-order nematic-to-isotropic phase transition becomes less discontinuous with decreasing pore size, eventually becoming continuous at an aerogel density between 0.36 and 0.5 g/cm(3). In the most severe confinement, no phase transitions are observed with only a continuous evolution of Q present. The orientational order is suppressed from the bulk's with no enhancement upon the onset of the SmA phase. This indicates a decoupling of nematic and smectic order parameters and a severe suppression of the SmA phase by this porous media.
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Affiliation(s)
- H Zeng
- Department of Physics, Kent State University, Kent, Ohio 44242, USA
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Iannacchione GS, Crawford GP, Qian S, Doane JW, Finotello D, Zumer S. Nematic ordering in highly restrictive Vycor glass. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 53:2402-2411. [PMID: 9964525 DOI: 10.1103/physreve.53.2402] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lee JC. Dynamics of binary liquids in pores. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:6368-6374. [PMID: 9964156 DOI: 10.1103/physreve.52.6368] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lee JC. Structure factors of binary fluids in a dilute gel. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:4545-4548. [PMID: 9963934 DOI: 10.1103/physreve.52.4545] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lacelle S, Tremblay L, Bussière Y, Cau F, Fry CG. NMR studies of phase separation of a binary liquid in a porous glass. PHYSICAL REVIEW LETTERS 1995; 74:5228-5231. [PMID: 10058715 DOI: 10.1103/physrevlett.74.5228] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Frisken BJ, Cannell DS, Lin MY, Sinha SK. Neutron-scattering studies of binary mixtures in silica gels. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:5866-5879. [PMID: 9963324 DOI: 10.1103/physreve.51.5866] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Frisken BJ, Ferri F, Cannell DS. Critical behavior in the presence of a disordered environment. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:5922-5943. [PMID: 9963332 DOI: 10.1103/physreve.51.5922] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lee JC. Dynamics of order-parameter-conserving Ising models at T>Tc. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:2661-2668. [PMID: 9979036 DOI: 10.1103/physrevb.51.2661] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Sahimi M, Nowroozi P. Scaling properties of a spin model of microemulsions. PHYSICAL REVIEW LETTERS 1994; 73:1182-1185. [PMID: 10057645 DOI: 10.1103/physrevlett.73.1182] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Tripathi S, Rosenblatt C, Aliev FM. Orientational susceptibility in porous glass near a bulk nematic-isotropic phase transition. PHYSICAL REVIEW LETTERS 1994; 72:2725-2728. [PMID: 10055961 DOI: 10.1103/physrevlett.72.2725] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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