New Green-Kubo formulas for transport coefficients in hard-sphere, Langevin fluids and the likes
| dc.contributor.author | Ernst, M. H. | |
| dc.contributor.author | Brito López, Ricardo | |
| dc.date.accessioned | 2023-06-20T10:34:53Z | |
| dc.date.available | 2023-06-20T10:34:53Z | |
| dc.date.issued | 2006-01 | |
| dc.description | ©EDP Sciences. The authors thank J. Piasecki and P. Español for bringing refs. [4] and [6], respectively, to their attention. MHE is supported by Secretaría de Estado de Educación y Universidades (Spain), and RB by the Universidad Complutense (Profesores en el Extranjero). This work is financed by the research project FIS2004-271 (Spain). | |
| dc.description.abstract | We present generalized Green-Kubo expressions for thermal transport coefficients mu in non-conservative fluid-type systems, of the generic form mu = mu(infinity)+ integral(o)(infinity) dtV(-1) [I-epsilon exp[tL] I](0), where exp[tL] is a pseudo-streaming operator. It consists of a sum of an instantaneous transport coefficient mu(infinity), and a time integral over a time correlation function in a state of thermal equilibrium between a current I and its conjugate current I-epsilon. This formula with mu(infinity) not equal 0 and I-epsilon not equal I covers vastly different systems, such as strongly repulsive elastic interactions in hardsphere fluids, weakly interacting Langevin fluids with dissipative and stochastic interactions satisfying detailed balance conditions, and "the likes", defined in the text. For conservative systems the results reduce to the standard formulas. | |
| dc.description.department | Depto. de Estructura de la Materia, Física Térmica y Electrónica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Secretaría de Estado de Educación y Universidades (Spain) | |
| dc.description.sponsorship | Universidad Complutense (Profesores en el Extranjero) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21342 | |
| dc.identifier.doi | 10.1209/epl/i2005-10384-7 | |
| dc.identifier.issn | 0295-5075 | |
| dc.identifier.officialurl | http://iopscience.iop.org/0295-5075/73/2/183/pdf/0295-5075_73_2_183.pdf | |
| dc.identifier.relatedurl | http://iopscience.iop.org/ | |
| dc.identifier.relatedurl | http://www.arxiv.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50639 | |
| dc.issue.number | 2 | |
| dc.journal.title | Europhysics Letters | |
| dc.language.iso | eng | |
| dc.page.final | 189 | |
| dc.page.initial | 183 | |
| dc.publisher | EDP Sciences | |
| dc.relation.projectID | FIS2004-271 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 536 | |
| dc.subject.keyword | Dissipative particle dynamics | |
| dc.subject.ucm | Termodinámica | |
| dc.subject.unesco | 2213 Termodinámica | |
| dc.title | New Green-Kubo formulas for transport coefficients in hard-sphere, Langevin fluids and the likes | |
| dc.type | journal article | |
| dc.volume.number | 73 | |
| dcterms.references | [1] Hansen J. P. and McDonald I. R., Theory of Simple Liquids (Wiley, New York) 1986, Chapt. 8. [2] Allen M. P. and Tildesley D. J., Computer Simulations in Liquids (Wiley, New York) 1987. [3] Ernst M. H. and Dorfman J. R., J. Stat. Phys., 12 (1975) 311. [4] Bocquet L., Piasecki J. and Hansen J. P., J. Stat. Phys., 76 (1994) 505, and Piasecki J., Bocquet L. and Hansen J. P., Physica A, 218 (1995) 125. [5] Dufty J. W. and Ernst M. H., Mol. Phys., 102 (2004) 2123, and cond-mat/0401635. [6] Español P. and Vázquez F., Philos. Trans. R. Soc. London, Ser. A, 360 (2002) 383. [7] Ernst M. H., Dorfman J. R., Hoegy W. R. and van Leeuwen J. M. J., Physica (Utrecht), 45 (1969) 127. [8] Risken H., The Fokker-Planck Equation (Springer, Berlin) 1996. [9] Ripoll M., Español P. and Ernst M. H., Int. J. Mod. Phys. C, 9 (1998) 1329. [10] Ripoll M. and Ernst M. H., Phys. Rev. E, 71 (2005) 041104. [11] Hoogerbrugge P. J. and Koelman J. M. V. A., Europhys. Lett., 19 (1995) 191. [12] Español P. and Warren P., Europhys. Lett., 30 (1995) 191. [13] Marsh C. A., Backx G. and Ernst M. H., Phys. Rev., 56 (1997) 1676. [14] Pagonabarraga I., Hagen M. H. J. and Frenkel D., Europhys. Lett., 42 (1998) 377. [15] van Beijeren H. and Ernst M. H., J. Stat. Phys., 21 (1979) 125. [16] de Schepper I., Ernst M. H. and Cohen E. G. D., J. Stat. Phys., 25 (1981) 321. [17] Ernst M. H. and Brito R., Phys. Rev. E, 72 (2005) 061102. [18] Chapman S. and Cowling T. G., The Mathematical theory of Non-uniform Gases, third edition (Cambridge Universirty Press) 1970. [19] Español P., Phys. Rev. E, 52 (1995) 1734. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | b5d83e4b-6cf5-4cfc-9a1e-efbf55f71f87 | |
| relation.isAuthorOfPublication.latestForDiscovery | b5d83e4b-6cf5-4cfc-9a1e-efbf55f71f87 |
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