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XVI. On a mechanical theorem applicable to heat
Abstract
The following theorem (virial theorem) is proved: let there be any system of material points in stationary motion. (Stationary motion means that the points are constrained to move in a limited region of space, and the velocities only fluctuate within certain limits, with no preferential direction.) Denote by X, Y, Z the components of the force acting on a particle at position x, y, z in space, and form the quantity
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Cited by
A new look at the atomic level virial stress: On continuum-molecular system equivalence
Zhou, M. (2003) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2003.1127 · Cited by 569
Calculation of stress in atomistic simulation
Zimmerman, J. A., WebbIII, E. B., Hoyt, J. J., Jones, R. E., Klein, P. A., & Bammann, D. J. (2004) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/12/4/s03 · Cited by 458
Atomic-level stress in an inhomogeneous system
Cheung, K. S., & Yip, S. (1991) · Journal of Applied Physics · doi:10.1063/1.350186 · Cited by 261
Entropy-Based Financial Asset Pricing
Ormos, M., & Zibriczky, D. (2014) · PLoS ONE · doi:10.1371/journal.pone.0115742 · Cited by 70
Metadata
- Authors
- Clausius, R.
- Venue
- The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
- Publisher
- Informa UK Limited
- Published
- 1870-08
- Volume
- 40
- Issue
- 265
- Pages
- 122-127
- ISSN
- 1941-5982 (ISSN-L)
- 1941-5990
- OpenAlex
- W1644398090
- Cited by
- 328
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: XVI. On a mechanical theorem applicable to heat. https://app.cochat.ai/papers/10.1080/14786447008640370
- The paper
- Clausius, R. (1870). XVI. On a mechanical theorem applicable to heat. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. https://doi.org/10.1080/14786447008640370
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
