| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Entropy balance in the presence of drift and diffusion currents : an elementary chaotic map approach |
| Authors: | Vollmer, Jürgen Tél, Tamás Breymann, Wolfgang |
| DOI: | 10.1103/PhysRevE.58.1672 |
| Published in: | Physical Review E |
| Volume(Issue): | 58 |
| Issue: | 2 |
| Page(s): | 1672 |
| Pages to: | 1684 |
| Issue Date: | 1998 |
| Publisher / Ed. Institution: | American Physical Society |
| ISSN: | 2470-0045 2470-0053 |
| Language: | English |
| Subject (DDC): | 530: Physics |
| Abstract: | We study the rate of irreversible entropy production and the entropy flux generated by low-dimensional dynamical systems modeling transport processes induced by the simultaneous presence of an external field and a density gradient. The key ingredient for understanding entropy balance is the coarse graining of the phase-space density. This mimics the fact that ever refining phase-space structures caused by chaotic dynamics can only be detected by finite resolution. Calculations are carried out for a generalized multibaker map. For the time-reversible dissipative (thermostated) version of the model, results of nonequilibrium thermodynamics are recovered in the large system limit. Independent of the choice of boundary conditions, we obtain the rate of irreversible entropy production per particle as u2/D, where u is the streaming velocity (current per density) and D is the diffusion coefficient. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/4616 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Data Analysis and Process Design (IDP) |
| Appears in collections: | Publikationen School of Engineering |
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Vollmer, J., Tél, T., & Breymann, W. (1998). Entropy balance in the presence of drift and diffusion currents : an elementary chaotic map approach. Physical Review E, 58(2), 1672–1684. https://doi.org/10.1103/PhysRevE.58.1672
Vollmer, J., Tél, T. and Breymann, W. (1998) ‘Entropy balance in the presence of drift and diffusion currents : an elementary chaotic map approach’, Physical Review E, 58(2), pp. 1672–1684. Available at: https://doi.org/10.1103/PhysRevE.58.1672.
J. Vollmer, T. Tél, and W. Breymann, “Entropy balance in the presence of drift and diffusion currents : an elementary chaotic map approach,” Physical Review E, vol. 58, no. 2, pp. 1672–1684, 1998, doi: 10.1103/PhysRevE.58.1672.
VOLLMER, Jürgen, Tamás TÉL und Wolfgang BREYMANN, 1998. Entropy balance in the presence of drift and diffusion currents : an elementary chaotic map approach. Physical Review E. 1998. Bd. 58, Nr. 2, S. 1672–1684. DOI 10.1103/PhysRevE.58.1672
Vollmer, Jürgen, Tamás Tél, and Wolfgang Breymann. 1998. “Entropy Balance in the Presence of Drift and Diffusion Currents : An Elementary Chaotic Map Approach.” Physical Review E 58 (2): 1672–84. https://doi.org/10.1103/PhysRevE.58.1672.
Vollmer, Jürgen, et al. “Entropy Balance in the Presence of Drift and Diffusion Currents : An Elementary Chaotic Map Approach.” Physical Review E, vol. 58, no. 2, 1998, pp. 1672–84, https://doi.org/10.1103/PhysRevE.58.1672.
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