The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Transport Coefficients from Dissipation in a Canonical Ensemble
Abstract
Expressions for the transport coefficients are obtained by studying the average changes with time which occur in members of a canonical ensemble when the initial state of one particle is partially specified. One calculates, both hydrodynamically and statistical mechanically, an appropriately weighted average of the spread of the initial knowledge. In this way expressions analogous to the Einstein equation for the self-diffusion of a Brownian particle are obtained; viz., the viscosity is proportional to a mean-square center of momentum displacement and the thermal conductivity is related to a mean-square center of energy displacement. These expressions may be converted into the integral of autocorrelation function formulas derived previously by others.
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Cites
Kubo, R. (1957) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.12.570 · Cited by 9,441
Einstein, A. (1905) · Annalen der Physik · doi:10.1002/andp.19053220806 · Cited by 8,265
On the Theory of the Brownian Motion
Uhlenbeck, G. E., & Ornstein, L. S. (1930) · Physical Review · doi:10.1103/physrev.36.823 · Cited by 4,482
Molecular theory of gases and liquids
Scott, R. L. (1955) · Journal of Chemical Education · doi:10.1021/ed032p232.2 · Cited by 3,934
Irreversibility and Generalized Noise
Callen, H. B., & Welton, T. A. (1951) · Physical Review · doi:10.1103/physrev.83.34 · Cited by 3,051
The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics
Irving, J. H., & Kirkwood, J. G. (1950) · The Journal of Chemical Physics · doi:10.1063/1.1747782 · Cited by 2,547
Green, M. S. (1954) · The Journal of Chemical Physics · doi:10.1063/1.1740082 · Cited by 1,823
Statistical-Mechanical Theory of Irreversible Processes. II. Response to Thermal Disturbance
Kubo, R., Yokota, M., & Nakajima, S. (1957) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.12.1203 · Cited by 732
Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena
Green, M. S. (1952) · The Journal of Chemical Physics · doi:10.1063/1.1700722 · Cited by 720
Fluctuations from the Nonequilibrium Steady State
Lax, M. (1960) · Reviews of Modern Physics · doi:10.1103/revmodphys.32.25 · Cited by 546
Statistical-Mechanical Theory of Transport in Fluids
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Cited by
The computer study of transport processes under extreme conditions
Lees, A. W., & Edwards, S. F. (1972) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/5/15/006 · Cited by 1,506
Phonon Transport in Molecular Dynamics Simulations: Formulation and Thermal Conductivity Prediction
McGaughey, A. J. H., & Kaviany, M. (2006) · Advances in Heat Transfer · doi:10.1016/s0065-2717(06)39002-8 · Cited by 273
Theory and applications of the density matrix
Haar, D. T. (1961) · Reports on Progress in Physics · doi:10.1088/0034-4885/24/1/307 · Cited by 259
Machine-learned interatomic potentials by active learning: amorphous and liquid hafnium dioxide
Sivaraman, G., Krishnamoorthy, A. N., Baur, M., Holm, C., Stan, M., Csányi, G., Benmore, C., & Vázquez-Mayagoitia, Á. (2020) · npj Computational Materials · doi:10.1038/s41524-020-00367-7 · Cited by 194
Metadata
- Authors
- Helfand, E.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1960-07-01
- Volume
- 119
- Issue
- 1
- Pages
- 1-9
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2000663085
- Cited by
- 411
- References
- 12
- FWCI
- 2.83
- Type
- journal article
- Language
- en
- Open access
- closed
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