This model yields the multiple coexistence of phases, as well as volume versus excess charge curves, similar to the experimental results.
📌 3 Key Takeaways
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Objective & Hypothesis:Experiments have yielded multiple coexistence loops for gels with random positive and negative ionic groups, exhibiting the existence of up to seven distinct macroscopic phases distinguished by volume discontinuities.
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Key Findings & Data:We introduce for this system a model composed of local degrees of freedom for ionization and for ionized cross-binding which are spatially arrayed with random connectivity.
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Conclusion & Impact:This model yields the multiple coexistence of phases, as well as volume versus excess charge curves, similar to the experimental results.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Experiments have yielded multiple coexistence loops for gels with random positive and negative ionic groups, exhibiting the existence of up to seven distinct macroscopic phases distinguished by volume discontinuities. We introduce for this system a model composed of local degrees of freedom for ionization and for ionized cross-binding which are spatially arrayed with random connectivity. This model yields the multiple coexistence of phases, as well as volume versus excess charge curves, similar to the experimental results.
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Cite This Article
AALBERTS, D. P., BERKER, A. N. (2022). High-degeneracy ordering of polyampholyte gels from a random-field model. ARI The Bulletin of the Istanbul Technical University, Cilt: 53 - Sayı: 1, 2–5. https://ajindex.com/articles/448165
T. Tanaka, D. Fillmore, S.-T. Sun, I. Nishio, G. Swislow, and A. Shah, Phys. Rev. Lett. 45, 1636 (1980)
M. Annaka and T. Tanaka, Nature 355, 430 (1992)
M. Annaka and T. Tanaka, Phase Transition 47, 143 (1994)
Refs.[2,3] appear to be the first observations of a gel phase transition driven by electrostatic interactions
X. Yu, Ph.D. thesis, MIT (1993)
Y. Kantor, M. Kardar, and H. Li, Phys. Rev. Lett. 69, 61 (1992)
Y. Kantor, M. Kardar, and H. Li, Phys. Rev. E 49, 1383 (1994)
Y. Kantor and M. Kardar, Europhys. Lett. 27, 643 (1994)
Hydrogen bonding, weaker than Coulomb binding, can pair anionic groups, but is not strong enough to drive the phase transitions considered here, as discussed in F. Ilmain, T. Tanaka, and E. Kokufuta, Nature 349, 400 (1991)
N.W. Ashcroft and N.D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, New York, 1976)
M. Szwarc, Carbonions, Living Polymers, and Electron Transfer Processes (Wiley, New York, 1968)
R. M. Fuoss and C. A. Kraus, J. Am. Chem. Soc. 55, 21, 476, 1019, 2387 (1933)
D. N. Bhattacharya, J. Smid, and M. Szwarc, J. Am. Chem. Soc. 86, 5024 (1964)
D. N. Bhattacharya, C. L. Lee, J. Smid, and M. Szwarc, J. Phys. Chem. 69, 612 (1965)
S. C. Greer, Comp. Mat. Science 4, 334 (1995). See, for example, Fig.3 in this reference
S. C. Greer, Adv. Chem. Phys. 94, 261 (1996)
S. Kara, C. Tamerler, H. Bermek and Ö. Pekcan, Int. J. Bio. Macromolecules 31, 177 (2003)
M. J. Stevens and K. Kremer, J. Chem. Phys. 103, 1669 (1995).