| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Dynamical-system models of transport : chaos characteristics, the macroscopic limit, and irreversibility |
| Authors: | Vollmer, Jürgen Tél, Tamás Breymann, Wolfgang |
| DOI: | 10.1016/j.physd.2003.09.005 |
| Published in: | Physica D: Nonlinear Phenomena |
| Volume(Issue): | 187 |
| Issue: | 1-4 |
| Page(s): | 108 |
| Pages to: | 127 |
| Issue Date: | 2004 |
| Publisher / Ed. Institution: | Elsevier |
| ISSN: | 0167-2789 |
| Language: | English |
| Subjects: | Chaos; Transport equations; Multibaker maps; Macroscopic limit |
| Subject (DDC): | 530: Physics |
| Abstract: | The escape-rate formalism and the thermostating algorithm describe relaxation towards a decaying state with absorbing boundaries and a steady state of periodic systems, respectively. It has been shown that the key features of the transport properties of both approaches, if modeled by low-dimensional dynamical systems, can conveniently be described in the framework of multibaker maps. In the present paper we discuss in detail the steps required to reach a meaningful macroscopic limit. The limit involves a sequence of coarser and coarser descriptions (projections) until one reaches the level of irreversible macroscopic advection-diffusion equations. The influence of boundary conditions is studied in detail. Only a few of the chaos characteristics possess a meaningful macroscopic limit, but none of these is sufficient to determine the entropy production in a general non-equilibrium state. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/4661 |
| 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. (2004). Dynamical-system models of transport : chaos characteristics, the macroscopic limit, and irreversibility. Physica D: Nonlinear Phenomena, 187(1-4), 108–127. https://doi.org/10.1016/j.physd.2003.09.005
Vollmer, J., Tél, T. and Breymann, W. (2004) ‘Dynamical-system models of transport : chaos characteristics, the macroscopic limit, and irreversibility’, Physica D: Nonlinear Phenomena, 187(1-4), pp. 108–127. Available at: https://doi.org/10.1016/j.physd.2003.09.005.
J. Vollmer, T. Tél, and W. Breymann, “Dynamical-system models of transport : chaos characteristics, the macroscopic limit, and irreversibility,” Physica D: Nonlinear Phenomena, vol. 187, no. 1-4, pp. 108–127, 2004, doi: 10.1016/j.physd.2003.09.005.
VOLLMER, Jürgen, Tamás TÉL und Wolfgang BREYMANN, 2004. Dynamical-system models of transport : chaos characteristics, the macroscopic limit, and irreversibility. Physica D: Nonlinear Phenomena. 2004. Bd. 187, Nr. 1-4, S. 108–127. DOI 10.1016/j.physd.2003.09.005
Vollmer, Jürgen, Tamás Tél, and Wolfgang Breymann. 2004. “Dynamical-System Models of Transport : Chaos Characteristics, the Macroscopic Limit, and Irreversibility.” Physica D: Nonlinear Phenomena 187 (1-4): 108–27. https://doi.org/10.1016/j.physd.2003.09.005.
Vollmer, Jürgen, et al. “Dynamical-System Models of Transport : Chaos Characteristics, the Macroscopic Limit, and Irreversibility.” Physica D: Nonlinear Phenomena, vol. 187, no. 1-4, 2004, pp. 108–27, https://doi.org/10.1016/j.physd.2003.09.005.
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