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Abstract We develop recursive relations among abundances in anr-process network evolving neutron captures, photodisintegrations and beta decays through the use of the matrix-tree and matrix-forest theorems. Since these theorems are based on results from graph theory, we term the relations the GrRproc (GraphicalR-process) relations. We validate the relations by using them to computer-process abundances in network calculations in different astrophysical environments. We also illustrate how they can be used to follow complex reaction flows quantitatively in an evolvingr-process network through the concept of contribution paths. Such contribution paths show how particular reactions govern the evolution of abundance features during the nucleosynthesis and, consequently, can clarify the role of key nuclear data and astrophysical environments in that evolution. The Python open-source package that implements the tool is freely available.
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Process Multiplicity and Process Dynamics: Weaving the Space of Possible Paths
In research on process organization studies, the concept of multiplicity is widely used, but a fundamental confusion about what process multiplicity means persists. As a result, we miss some of the potential of this concept for understanding process dynamics and process change. In this paper, we define process multiplicity as a duality of ‘one’ and ‘many’, and we conceptualize ‘the many’ as a space of possible paths encompassed by a process. We use the notion of paths to operationalize process multiplicity and make it accessible for empirical research. When we see process as a multiplicity, process change can be understood as expanding, shifting or contracting the space of possible paths. We suggest that this concept of process multiplicity also has implications for a range of other theoretical and practical topics, including standards, standardization and flexibility as well as process replication, management and resilience.
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- Award ID(s):
- 1734237
- PAR ID:
- 10547080
- Publisher / Repository:
- SAGE Publications
- Date Published:
- Journal Name:
- Organization Theory
- Volume:
- 1
- Issue:
- 3
- ISSN:
- 2631-7877
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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