Colloidal gels

Jadrich, Ryan B.; Milliron, Delia J.; Truskett, Thomas M.

doi:10.1063/5.0170798

Cited by 4 publications

(3 citation statements)

References 35 publications

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“…where we have used the definition (34) of the self two-body density distribution ρ self 2 (r, r ′ ). The result (40), when inserted into equation (39) and recalling that the left hand side thereof needs to vanish identically, gives the sum rule (35).…”

Section: Density-force Noether Identitymentioning

confidence: 99%

“…Besides certain very generic features, such as a depletion at small separation, the individual models and phases display differences in shapes and forms of g(r), as expected. The observed differences in g f f (r) and in g ∇f (r) across different models and phases are significantly more pronounced though and they are indicative of a wide range of specific features, including the presence of interparticle attraction in dense liquids band of particle strand formation in colloidal gels [39] and in dipolar fluids [40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 97%

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Noether invariance theory for the equilibrium force structure of soft matter

Hermann,

Sammüller,

Schmidt

2024

J. Phys. A: Math. Theor.

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We give details and derivations for the Noether invariance theory that characterizes the spatial equilibrium structure of inhomogeneous classical many-body systems, as recently proposed and investigated for bulk systems [F. Sammüller et al., Phys. Rev. Lett. 130, 268203 (2023)]. Thereby an intrinsic thermal symmetry against a local shifting transformation on phase space is exploited on the basis of the Noether theorem for invariant variations. We consider the consequences of the shifting that emerge at second order in the displacement field that parameterizes the transformation. In a natural way the standard two-body density distribution is generated. Its second spatial derivative (Hessian) is thereby balanced by two further and different two-body correlation functions, which respectively introduce thermally averaged force correlations and force gradients in a systematic and microscopically sharp way into the framework. Separate exact self and distinct sum rules hold expressing this balance. We exemplify the validity of the theory on the basis of computer simulations for the Lennard-Jones gas, liquid, and crystal, the Weeks-Chandler-Andersen fluid, monatomic Molinero-Moore water at ambient conditions, a three-body-interacting colloidal gel former, the Yukawa and soft-sphere dipolar fluids, and for isotropic and nematic phases of Gay-Berne particles. We describe explicitly the derivation of the sum rules based on Noether's theorem and also give more elementary proofs based on partial phase space integration following Yvon's theorem.

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Section: Density-force Noether Identitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Noether invariance theory for the equilibrium force structure of soft matter

Hermann,

Sammüller,

Schmidt

2024

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…It also has relevant applications in experimental and theoretical frameworks, for example in the study of the formation of non-equilibrium structures and their influence on ageing or rheology. 1 In a theoretical framework, a simple system to explore gelation is a colloid–polymer mixture, where there is a phase separation of a dilute and a dense phase. Gelation is observed – not necessarily exclusively – in the coexistence phase.…”

Section: Introductionmentioning

confidence: 99%