Gas–liquid phase transition in a binary mixture with an interaction that creates constant density profiles

Ditz, Nikolas; Roth, Roland

doi:10.1063/5.0048784

Cited by 3 publications

(1 citation statement)

References 33 publications

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“…The CDFT is originally designed for thermodynamic systems under external field(s), among which includes electrical double layer (EDL) system, which underlies much of the EDLSC. In fact, the CDFT and relevant statistical theories have been widely used in the EDL systems [29][30][31][32], the EDLSC [33,34], and other issues such as confined system phase transitions [35][36][37][38][39][40][41], solvation energy [42][43][44][45], surface forces [46][47][48][49], etc. Problems with the CDFT are that the CDFT is purely numerical and no analytical solution exists for it.…”

Section: Introductionmentioning

confidence: 99%

Ultrananoporous supercapacitor with ionic liquid comprised of two-site cation: an Ising model study (II)

Zhou¹,

Zhou²

2022

J. Phys. D: Appl. Phys.

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A four-state one-dimension discrete spin model with the nearest neighbor and partial next nearest neighbor lattice interactions is proposed for describing electrical double layer formed by ionic liquid in cylindrical pore that can accommodate only one row of particles. The model, in which cation is modelled as a dimer formed by two hard spheres: one is positively charged with diameter , while the other is neutral with diameter , and anion is modeled by charged hard sphere with diameter , is designed to investigate effects of pore diameter , ion transfer free energy, ion size and electrical valence on behaviors of specific differential capacitance and specific energy storage and its saturation value . Relevant Kramers-Wannier transfer matrix is , which gives system partition function by numerically solving maximum real root of the relevant characteristic equation. Main findings are briefly described below. (i) The ion valence has little effect on the value, but does reduce the threshold voltage strength , beyond which the energy storage reaches . However, the ion valence (whether co- or counter-ion) raises both the and values as the relevant ion size decreases enough. (ii) Decreasing of the value weakly reduces the value, but raises the peak height and the value obviously; correlation between the value and value becomes stronger with the ions getting more pore hostile. (iii) With the counter-ion or co-ion charged site size decreasing, both the value and value rise. However, the effect of the co-ion charged site size is weakened as the co-ion gets more pore hostile, and the cation neutral site size influences on the value less than the cation charged site size does. (iv) Pore friendly co-ion or pore hostile counter-ion always helps in raising the value; the two have significant synergistic effect with the co-ion pore friendliness playing more important role than the counter-ion pore hostility.

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Section: Introductionmentioning

confidence: 99%

Ultrananoporous supercapacitor with ionic liquid comprised of two-site cation: an Ising model study (II)

Zhou¹,

Zhou²

2022

J. Phys. D: Appl. Phys.

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The Asakura–Oosawa theory: Entropic forces in physics, biology, and soft matter

Miyazaki

Schweizer

Thirumalai

et al. 2022

The Journal of Chemical Physics

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Generalized geometric criteria for the absence of effective many-body interactions in the Asakura–Oosawa model

Wittmann,

Jansen,

Löwen

2023

Journal of Mathematical Physics

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We investigate variants of the Asakura–Oosawa (AO) model for colloid-polymer mixtures, represented by hard classical particles interacting via their excluded volume. The interaction between the polymers is neglected but the colloid-polymer and colloid-colloid interactions are present and can be condensed into an effective depletion interaction among the colloids alone. The original AO model involves hard spherical particles in three spatial dimensions with colloidal radii R and the so-called depletion radius δ of the polymers, such that the minimum possible center-to-center distance between polymers and colloids allowed by the excluded-volume constraints is R + δ. It is common knowledge among physicists that there are only pairwise effective depletion interactions between the colloids if the geometric condition δ/R<2/3−1 is fulfilled. In this case, triplet and higher-order many body interactions are vanishing and the equilibrium statistics of the binary mixture can exactly be mapped onto that of an effective one-component system with the effective depletion pair-potential. Here we rigorously prove that the criterion δ/R<2/3−1 is both sufficient and necessary to guarantee the absence of triplet and higher-order many body interactions among the colloids. For an external hard wall confining the system, we also include a criterion which guarantees that the system can be exactly mapped onto one with effective external one-body interactions. Our general formulation also accounts for polydisperse mixtures and anisotropic shapes of colloids in any spatial dimension. In those cases where the resulting condition is only sufficient, we further demonstrate how to specify improved bounds.

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Gas–liquid phase transition in a binary mixture with an interaction that creates constant density profiles

Cited by 3 publications

References 33 publications

Ultrananoporous supercapacitor with ionic liquid comprised of two-site cation: an Ising model study (II)

Ultrananoporous supercapacitor with ionic liquid comprised of two-site cation: an Ising model study (II)

The Asakura–Oosawa theory: Entropic forces in physics, biology, and soft matter

Generalized geometric criteria for the absence of effective many-body interactions in the Asakura–Oosawa model

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