Thermodynamics of irreversible aggregation

Themis Matsoukas

doi:10.7712/100016.1797.10608

Thermodynamics of irreversible aggregation

Themis Matsoukas

Chemical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The emergence of a giant component from a population of finite-size clusters is a problem in mathematical physics that is encountered in fields as diverse as polymer gelation, percolation of networks, and the spread of epidemics. But while such processes have long invited thermodynamic analogies, a formal connection to thermodynamics that goes beyond the qualitative has not been established. Here we develop a thermodynamic theory for a generic mathematical object, a population of individuals that cluster into groups. The theory views the distribution in the scaling limit as the one that is most probable among all distributions that satisfy the physical constraints of the problem. In this context, the emergence of the giant cluster is a phase transition that is governed by equilibrium criteria analogous to those in molecular systems.

Original language	English (US)
Title of host publication	ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Editors	G. Stefanou, V. Papadopoulos, V. Plevris, M. Papadrakakis
Publisher	National Technical University of Athens
Pages	120-136
Number of pages	17
ISBN (Electronic)	9786188284401
DOIs	https://doi.org/10.7712/100016.1797.10608
State	Published - 2016
Event	7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece Duration: Jun 5 2016 → Jun 10 2016

Publication series

Name	ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Volume	1

Other

Other	7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
Country/Territory	Greece
City	Crete
Period	6/5/16 → 6/10/16

All Science Journal Classification (ASJC) codes

Artificial Intelligence
Applied Mathematics

Access to Document

10.7712/100016.1797.10608

Cite this

Matsoukas, T. (2016). Thermodynamics of irreversible aggregation. In G. Stefanou, V. Papadopoulos, V. Plevris, & M. Papadrakakis (Eds.), ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (pp. 120-136). (ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering; Vol. 1). National Technical University of Athens. https://doi.org/10.7712/100016.1797.10608

Matsoukas, Themis. / Thermodynamics of irreversible aggregation. ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. editor / G. Stefanou ; V. Papadopoulos ; V. Plevris ; M. Papadrakakis. National Technical University of Athens, 2016. pp. 120-136 (ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering).

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Matsoukas, T 2016, Thermodynamics of irreversible aggregation. in G Stefanou, V Papadopoulos, V Plevris & M Papadrakakis (eds), ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, vol. 1, National Technical University of Athens, pp. 120-136, 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016, Crete, Greece, 6/5/16. https://doi.org/10.7712/100016.1797.10608

Thermodynamics of irreversible aggregation. / Matsoukas, Themis.
ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. ed. / G. Stefanou; V. Papadopoulos; V. Plevris; M. Papadrakakis. National Technical University of Athens, 2016. p. 120-136 (ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Matsoukas T. Thermodynamics of irreversible aggregation. In Stefanou G, Papadopoulos V, Plevris V, Papadrakakis M, editors, ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. National Technical University of Athens. 2016. p. 120-136. (ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering). doi: 10.7712/100016.1797.10608

Thermodynamics of irreversible aggregation

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