Bridgman formula for the thermal conductivity of atomic and molecular liquids

Khrapak, S. A.

doi:10.1016/j.molliq.2023.121786

Cited by 10 publications

(3 citation statements)

References 56 publications

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“…The relation is violated by 1–3 orders of magnitude for liquids approaching the glass transition, − but this does not alter the fact that when viscosity increases upon cooling, D par decreases roughly as much: D par ∝ η – x with 0.8 ≤ x ≤ 1.0. − Thus, when the viscosityand thereby D mom increases by a factor of 10 15 by cooling from T m to T g , D par at the same time decreases enormously. Interestingly, the heat-diffusion coefficient D heat changes only insignificantly upon cooling, even into the glassy state. , To summarize, an ultraviscous liquid is characterized by D p a r ≪ D h e a t ≪ D m o m …”

Section: Ordinary Liquidsmentioning

confidence: 98%

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Solid-that-Flows Picture of Glass-Forming Liquids

Dyre

2024

J. Phys. Chem. Lett.

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This perspective article reviews arguments that glass-forming liquids are different from those of standard liquid-state theory, which typically have a viscosity in the mPa•s range and relaxation times on the order of picoseconds. These numbers grow dramatically and become 10 12 − 10 15 times larger for liquids cooled toward the glass transition. This translates into a qualitative difference, and below the "solidity length" which is roughly one micron at the glass transition, a glass-forming liquid behaves much like a solid. Recent numerical evidence for the solidity of ultraviscous liquids is reviewed, and experimental consequences are discussed in relation to dynamic heterogeneity, frequency-dependent linear-response functions, and the temperature dependence of the average relaxation time.

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Section: Ordinary Liquidsmentioning

confidence: 98%

“…Interestingly, the heat-diffusion coefficient D heat changes only insignificantly upon cooling, even into the glassy state. 43 , 44 To summarize, an ultraviscous liquid is characterized by …”

Section: Ultraviscous Liquidsmentioning

confidence: 99%

Solid-that-Flows Picture of Glass-Forming Liquids

Dyre

2024

J. Phys. Chem. Lett.

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“…We then also computed the thermal conductivity and thermal diffusivity from this model. For this, we require the speed of sound, which is given by c s = v χ We obtain the thermal conductivity using a modification of Bridgman’s equation κ = 2.8 k B v − 1 / 2 c s and thermal diffusivity as α = κ v c p …”

Section: Theorymentioning

confidence: 99%

Simple Model of Liquid Water Dynamics

Urbic,

Dill

2023

J. Phys. Chem. B

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We develop an analytical statistical-mechanical model to study the dynamic properties of liquid water. In this two-dimensional model, neighboring waters can interact through a hydrogen bond, a van der Waals contact, or an ice-like cage structure or have no interaction. We calculate the diffusion coefficient, viscosity, and thermal conductivity versus temperature and pressure. The trends follow those seen in the water experiments. The model explains that in warm water, heating drives faster diffusion but less interaction, so the viscosity and conductivity decrease. Cooling cold water causes poorer energy exchange because water's ice-like cages are big and immobile and collide infrequently. The main antagonism in water dynamics is not between vdW and H bonds, but it is an interplay between both those pair interactions, multibody cages, and no interaction. The value of this simple model is that it is analytical, so calculations are immediate, and it gives interpretations based on molecular physics.

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