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Statistical mechanics of inhomogeneous fluids
Abstract
The nature of the microscopic stress tensor in an inhomogeneous fluid is discussed, with emphasis on the statistical mechanics of drops. Changes in free energy for isothermal deformations of a fluid are expressible as volume integrals of the stress tensor ‘times’ a strain tensor. A particular radial distortion of a drop leads to statistical mechanical expressions for the pressure difference across the surface of the drop. We find that the stress tensor is not uniquely defined by the microscopic laws embodying the conservation of momentum and angular momentum and that the ambiguity remains in the ensemble average, or pressure tensor, in regions of inhomogeneity. This leads to difficulties in defining statistical mechanical expressions for the surface tension of a drop.
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Citations
Cited by
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Pressure tensor for inhomogeneous fluids
Todd, B. D., Evans, D. J., & Daivis, P. J. (1995) · Physical Review E · doi:10.1103/physreve.52.1627 · Cited by 448
Thermodynamic formulation of flowing soft matter with transient forces
Savin, T., Briels, W. J., & Öttinger, H. C. (2013) · Rheologica Acta · doi:10.1007/s00397-012-0661-7 · Cited by 5
Metadata
- Authors
- Schofield, P., & Henderson, J. R.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1982-01-08
- Volume
- 379
- Issue
- 1776
- Pages
- 231-246
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2057503388
- Cited by
- 389
- References
- 0
- FWCI
- 12.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Statistical mechanics of inhomogeneous fluids. https://app.cochat.ai/papers/10.1098/rspa.1982.0015
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- Schofield, P., & Henderson, J. R. (1982). Statistical mechanics of inhomogeneous fluids. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1982.0015
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