Variance of the Casimir force in an ideal Bose gas

Napiórkowski, Marcin; Pruszczyk, Marcin

doi:10.1088/1742-5468/ac7a29

Cited by 3 publications

(1 citation statement)

References 27 publications

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“…obtained for the purely quadratic dispersion [41]. This result is in agreement with the x 1 asymptotics of the scaling function in the O(N) model in the Gaussian approximation obtained in previous works [42].…”

Section: The Model and Its Solutionsupporting

confidence: 92%

Effective binding potential from Casimir interactions: the case of the Bose gas

Pruszczyk

Jakubczyk

2023

J. Phys. A: Math. Theor.

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We consider the thermal Casimir effect in ideal Bose gases, where the dispersion relation involves both terms quadratic and quartic in momentum. We demonstrate that if macroscopic objects are immersed in such a fluid in spatial dimensionality $d \in \{3,7, 11, \dots \}$ and at the critical temperature $T_c$, the Casimir force acting between them is characterized by a sign which depends on the separation $D$ between the bodies and changes from attractive at large distances to repulsive at smaller separations. In consequence, an effective potential which binds the two objects at a finite separation arises. We demonstrate that for odd integer dimensionality $d \in \{3, 5, 7, \dots \}$, the Casimir energy is a polynomial of degree $(d-1)$ in $D^{-2}$. We point out a very special role of dimensionality $d=3$, where we derive a strikingly simple form of the Casimir energy as a function of $D$ at Bose-Einstein condensation. We discuss crossover between monotonous and oscillatory decay of the Casimir interaction above the condensation temperature.

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Section: The Model and Its Solutionsupporting

confidence: 92%

Effective binding potential from Casimir interactions: the case of the Bose gas

Pruszczyk

Jakubczyk

2023

J. Phys. A: Math. Theor.

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Critical Casimir effect: Exact results

Dantchev

Dietrich

2023

Physics Reports

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Variability of entropy force and its coupling with electrostatic and steric hindrance interactions

Zhou

2024

J. Stat. Mech.

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We investigated the effective interaction potential (EIP) between charged surfaces in solvent comprised of dipole dimer molecules added with a certain amount of ionic liquid. Using classical density functional theory, the EIP is calculated and decoupled into entropic and energy terms. Unlike the traditional Asakura–Oosawa (AO) depletion model, the present entropic term can be positive or negative, depending on the entropy change associated with solvent molecule migration from bulk into slit pore. This is determined by pore congestion and disruption of the bulk dipole network. The energy term is determined by the free energy associated with hard-core repulsion and electrostatic interactions between surface charges, ion charges, and polarized charges carried by the dipole dimer molecules. The calculations in this article clearly demonstrate the variability of the entropy term, which contrasts sharply with the traditional AO depletion model, and the corrective effects of electrostatic and spatial hindrance interactions on the total EIP; we revealed several non-monotonic behaviors of the EIP and its entropic and energy terms concerning solvent bulk concentration and solvent molecule dipole moment; additionally, we demonstrated the promoting effect of dipolar solvent on the emergence of like-charge attraction, even in 1:1 electrolyte solutions. The microscopic origin of the aforementioned phenomena was analyzed to be due to the non-monotonic change of dipolar solvent adsorption with dipole moment under conditions of low solution dielectric constant. The present findings offer novel approaches and molecular-level guidance for regulating the EIP. This insight has implications for understanding fundamental processes in various fields, including biomolecule-ligand binding, activation energy barriers, ion tunneling transport, as well as the formation of hierarchical structures, such as mesophases, micro-, and nanostructures, and beyond.

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Variance of the Casimir force in an ideal Bose gas

Cited by 3 publications

References 27 publications

Effective binding potential from Casimir interactions: the case of the Bose gas

Effective binding potential from Casimir interactions: the case of the Bose gas

Critical Casimir effect: Exact results

Variability of entropy force and its coupling with electrostatic and steric hindrance interactions

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