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Field-Theoretic Modeling of Dipolar Fluctuations in Semiflexible Polyelectrolyte Solutions
Field-Theoretic Modeling of Dipolar Fluctuations in Semiflexible Polyelectrolyte Solutions
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211153100
- ISBN
- 9798346391234
- DDC
- 600
- 서명/저자
- Field-Theoretic Modeling of Dipolar Fluctuations in Semiflexible Polyelectrolyte Solutions
- 발행사항
- [Sl] : Stanford University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 179 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- 주기사항
- Advisor: Spakowitz, Andrew.
- 학위논문주기
- Thesis (Ph.D.)--Stanford University, 2024.
- 초록/해제
- 요약The mixing of two oppositely charged polymer solutions results in the associative phase separation of the mixture into a polymer-rich phase (coacervate) and a polymer-lean phase (supernatant). This process, known as complex coacervation, plays a central role in applications such as food production, pharmaceuticals, and biopolymer phase segregation in living cells. Despite being well-studied, coacervation remains challenging to describe theoretically due to complex electrostatic and non-electrostatic interactions across various length scales. A key area of interest within the theoretical community is understanding the solvent's role in mediating charge-charge interactions and acting as the driving force for many observed behaviors.Water, the most common solvent for polyelectrolytes, plays a crucial role in this behavior. Its distinctive properties stem from its large dipole moment, a result of the significant electronegativity difference between hydrogen and oxygen atoms and its bent molecular shape. This characteristic allows water molecules to orient around charged species, effectively reducing the strength of their interactions. The solvent's ability to screen charges is described by its dielectric constant. However, this feature is not uniform throughout the solution. Charged species influence the orientation of nearby water molecules, reducing their rotational freedom and consequently decreasing the local dielectric constant. While often treated as uniform for simplicity, it is well recognized that local inhomogeneities in the dielectric medium exist near all charged species, and accurately capturing that is essential for modeling real mixtures.An often overlooked aspect of solvent interactions is the entropic contribution from the orientation of water molecules. In the presence of strong electric fields, these dipolar molecules lose significant orientational freedom. This entropy loss creates an additional driving force that brings oppositely charged species together beyond what purely electrostatic energy would predict. Despite its importance, this strong entropic effect has been largely neglected in traditional models, and a comprehensive theoretical approach to accurately capture it is needed.In addressing these challenges, I have developed a polymer field-theoretic model that incorporates explicit treatment of polymer semiflexibility and polar solvents, providing a framework to determine the impact of solvent ordering and concentration fluctuations on the thermodynamic behavior of polyelectrolyte solutions. We leverage exact results for the statistical behavior of the wormlike chain model in tandem with the random phase approximation to accurately incorporate correlated fluctuations across relevant length scales. Our self-consistent statistical field theory is capable of predicting the phase behavior of mixtures containing charged polymers and ions within a polar solvent. My analysis focuses on the sophisticated role of water molecules in mediating charge-charge interactions with a detailed emphasis on the orientational effects of the dipolar solvent.Using this theory, we study the effect of dipole ordering on the electrostatic potential near a charged surface. We show that the inhomogeneous polarization of the dipolar solvent leads to increased electrostatic potential near the charged surface compared to the Gouy-Chapman model, which only treats diffuse ions under a constant dielectric medium. We demonstrate that the dielectric dependence on the orientational freedom of the solvent molecules drives this behavior.Broadening our exploration, we use our theory to examine 3D phase diagrams encompassing all charge-neutral mixtures for various asymmetric polyelectrolyte solutions containing two oppositely charged polymers, counterions, and a polar solvent.
- 일반주제명
- Polymers
- 일반주제명
- Polyvinyl alcohol
- 일반주제명
- Energy
- 일반주제명
- Visualization
- 일반주제명
- Entropy
- 일반주제명
- Solvents
- 일반주제명
- Polymerization
- 일반주제명
- Asymmetry
- 일반주제명
- Polymer chemistry
- 기타저자
- Stanford University.
- 기본자료저록
- Dissertations Abstracts International. 86-05B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798346391234
■035 ▼a(MiAaPQ)AAI31652068
■035 ▼a(MiAaPQ)Stanfordxd024xz1861
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a600
■1001 ▼aBeckinghausen, Michael.
■24510▼aField-Theoretic Modeling of Dipolar Fluctuations in Semiflexible Polyelectrolyte Solutions
■260 ▼a[Sl]▼bStanford University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a179 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-05, Section: B.
■500 ▼aAdvisor: Spakowitz, Andrew.
■5021 ▼aThesis (Ph.D.)--Stanford University, 2024.
■520 ▼aThe mixing of two oppositely charged polymer solutions results in the associative phase separation of the mixture into a polymer-rich phase (coacervate) and a polymer-lean phase (supernatant). This process, known as complex coacervation, plays a central role in applications such as food production, pharmaceuticals, and biopolymer phase segregation in living cells. Despite being well-studied, coacervation remains challenging to describe theoretically due to complex electrostatic and non-electrostatic interactions across various length scales. A key area of interest within the theoretical community is understanding the solvent's role in mediating charge-charge interactions and acting as the driving force for many observed behaviors.Water, the most common solvent for polyelectrolytes, plays a crucial role in this behavior. Its distinctive properties stem from its large dipole moment, a result of the significant electronegativity difference between hydrogen and oxygen atoms and its bent molecular shape. This characteristic allows water molecules to orient around charged species, effectively reducing the strength of their interactions. The solvent's ability to screen charges is described by its dielectric constant. However, this feature is not uniform throughout the solution. Charged species influence the orientation of nearby water molecules, reducing their rotational freedom and consequently decreasing the local dielectric constant. While often treated as uniform for simplicity, it is well recognized that local inhomogeneities in the dielectric medium exist near all charged species, and accurately capturing that is essential for modeling real mixtures.An often overlooked aspect of solvent interactions is the entropic contribution from the orientation of water molecules. In the presence of strong electric fields, these dipolar molecules lose significant orientational freedom. This entropy loss creates an additional driving force that brings oppositely charged species together beyond what purely electrostatic energy would predict. Despite its importance, this strong entropic effect has been largely neglected in traditional models, and a comprehensive theoretical approach to accurately capture it is needed.In addressing these challenges, I have developed a polymer field-theoretic model that incorporates explicit treatment of polymer semiflexibility and polar solvents, providing a framework to determine the impact of solvent ordering and concentration fluctuations on the thermodynamic behavior of polyelectrolyte solutions. We leverage exact results for the statistical behavior of the wormlike chain model in tandem with the random phase approximation to accurately incorporate correlated fluctuations across relevant length scales. Our self-consistent statistical field theory is capable of predicting the phase behavior of mixtures containing charged polymers and ions within a polar solvent. My analysis focuses on the sophisticated role of water molecules in mediating charge-charge interactions with a detailed emphasis on the orientational effects of the dipolar solvent.Using this theory, we study the effect of dipole ordering on the electrostatic potential near a charged surface. We show that the inhomogeneous polarization of the dipolar solvent leads to increased electrostatic potential near the charged surface compared to the Gouy-Chapman model, which only treats diffuse ions under a constant dielectric medium. We demonstrate that the dielectric dependence on the orientational freedom of the solvent molecules drives this behavior.Broadening our exploration, we use our theory to examine 3D phase diagrams encompassing all charge-neutral mixtures for various asymmetric polyelectrolyte solutions containing two oppositely charged polymers, counterions, and a polar solvent.
■590 ▼aSchool code: 0212.
■650 4▼aPolymers
■650 4▼aPolyvinyl alcohol
■650 4▼aEnergy
■650 4▼aVisualization
■650 4▼aEntropy
■650 4▼aSolvents
■650 4▼aPolymerization
■650 4▼aAsymmetry
■650 4▼aPolymer chemistry
■690 ▼a0791
■690 ▼a0495
■71020▼aStanford University.
■7730 ▼tDissertations Abstracts International▼g86-05B.
■790 ▼a0212
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164902▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.


