AbstractWe analyze the effects of the introduction of new mathematical tools on an old branch of physics by focusing on lattice fluids, which are cellular automata -based hydrodynamical models. We examine the nature of these discrete models, the type of novelty they bring about within scientific practice and the role they play in the field of fluid dynamics. We critically analyze Rohrlich's, Fox Keller's and Hughes' claims about CA-based models. We distinguish between different senses of the predicates “phenomenological” and “theoretical” for scientific models and argue that it is erroneous to conclude, as they do, that CA-based models are necessarily phenomenological in any sense of the term. We conversely claim that CA-based models of fluids, though at first sight blatantly misrepresenting fluids, are in fact conservative as far as the basic laws of statistical physics are concerned and not less theoretical than more traditional models in the field. Based on our case-study, we propose a general discussion of the prospect of CA for modeling in physics. We finally emphasize that lattice fluids are not just exotic oddities but do bring about new advantages in the investigation of fluids' behavior.
Similar books and articles
Lattice-Gas Cellular Automaton Models for Biology: From Fluids to Cells.Dieter Wolf-Gladrow - 2010 - Acta Biotheoretica 58 (4):329-340.
Reality–Theoretical Models–Mathematics: A Ternary Perspective on Physics Lessons in Upper-Secondary School.Ricardo Karam - 2015 - Science & Education 24 (5-6):615-644.
Models and Inferences in Science.Emiliano Ippoliti, Fabio Sterpetti & Thomas Nickles (eds.) - 2016 - Cham: Springer.
Models as a Tool for Theory Construction: Some Strategies of Preliminary Physics.Stephan Hartmann - 1995 - In William Herfel, Władysław Krajewski, Ilkka Niiniluoto & Ryszard Wójcicki (eds.), Theories and Models in Scientific Processes. Rodopi. pp. 49-67.
Cellular Automata, Modeling, and Computation.Anouk Barberousse, Sara Franceschelli & Cyrille Imbert - unknown
Idealization Ix:: Idealization in Contemporary Physics.Niall Shanks - 1998 - Rodopi.
The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles.E. J. Janse van Rensburg - 2015 - Oxford University Press UK.
Complexity: Hierarchical Structures and Scaling in Physics.R. Badii - 1997 - Cambridge University Press.
Notes on the Philosophical Status of Nuclear Physics.Giovanni Boniolo, Carlo Petrovich & Gualtiero Pisent - 2002 - Foundations of Science 7 (4):425-452.
How to Do Science with Models: A Philosophical Primer.Axel Gelfert - 2016 - Springer.
Between Rigor and Reality: Many-Body Models in Condensed Matter Physics.Axel Gelfert - 2015 - In Brigitte Falkenburg & Margaret Morrison (eds.), Why More Is Different: Philosophical Issues in Condensed Matter Physics and Complex Systems. Springer. pp. 201-226.
Scientific Theories, Models and the Semantic Approach.Krause Décio & Bueno Otávio - 2007 - Principia: An International Journal of Epistemology 11 (2):187-201.
Added to PP
Historical graph of downloads
Citations of this work
Simulations, Explication, Compréhension : Essai D’Analyse critiqueSimulations, Explanation, Understanding: An Analytical Overview.Cyrille Imbert - 2017 - Philosophia Scientae 21:49-109.
References found in this work
Asymptotics and the Role of Minimal Models.Robert W. Batterman - 2002 - British Journal for the Philosophy of Science 53 (1):21-38.
Computer Simulation in the Physical Sciences.Fritz Rohrlich - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:507-518.
21 Undecidability and Intractability in Theoretical Physics.Stephen Wolfram - 2013 - Emergence: Contemporary Readings in Philosophy and Science.
A ‘Modern’ (=Victorian?) Attitude Towards Scientific Understanding.Robert W. Batterman - 2000 - The Monist 83 (2):228-257.
Simulating Physics with Computers.R. P. Feynman - 1982 - International Journal of Theoretical Physics 21 (6):467-488.