Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning Barriers
Organizations face fundamental challenges in managing knowledge flows across complex networks, yet existing frameworks often lack quantitative tools for optimization. We develop a novel stochastic multi-scale model introducing knowledge flow viscosity (KFV) to analyze organizational learning dynamic...
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MDPI AG
2025-01-01
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| author | Jih-Jeng Huang Chin-Yi Chen |
| author_facet | Jih-Jeng Huang Chin-Yi Chen |
| author_sort | Jih-Jeng Huang |
| collection | DOAJ |
| description | Organizations face fundamental challenges in managing knowledge flows across complex networks, yet existing frameworks often lack quantitative tools for optimization. We develop a novel stochastic multi-scale model introducing knowledge flow viscosity (KFV) to analyze organizational learning dynamics. This model quantifies resistance to knowledge transfer using a time-varying viscosity tensor, capturing both continuous learning processes and discrete knowledge acquisition events. Through renormalization group analysis, we establish the existence of critical thresholds in knowledge diffusion rates, characterizing phase transitions in organizational learning capacity. Numerical simulations demonstrate that targeted reductions in communication barriers near these thresholds can significantly enhance knowledge flow efficiency. The findings provide a mathematical foundation for understanding multi-level knowledge flow dynamics, suggesting precise conditions for effective interventions to optimize learning in complex organizational systems. |
| format | Article |
| id | doaj-art-9cbf1acb604c4b9a836f6f2dce3b6732 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-9cbf1acb604c4b9a836f6f2dce3b67322025-01-24T13:40:04ZengMDPI AGMathematics2227-73902025-01-0113229410.3390/math13020294Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning BarriersJih-Jeng Huang0Chin-Yi Chen1Department of Computer Science & Information Management, Soochow University, No. 56, Section 1, Kueiyang Street, Chungcheng District, Taipei City 100, TaiwanDepartment of Business Administration, Chung Yuan Christian University, No. 200, Zhongbei Rd., Zhongli District, Taoyuan City 320, TaiwanOrganizations face fundamental challenges in managing knowledge flows across complex networks, yet existing frameworks often lack quantitative tools for optimization. We develop a novel stochastic multi-scale model introducing knowledge flow viscosity (KFV) to analyze organizational learning dynamics. This model quantifies resistance to knowledge transfer using a time-varying viscosity tensor, capturing both continuous learning processes and discrete knowledge acquisition events. Through renormalization group analysis, we establish the existence of critical thresholds in knowledge diffusion rates, characterizing phase transitions in organizational learning capacity. Numerical simulations demonstrate that targeted reductions in communication barriers near these thresholds can significantly enhance knowledge flow efficiency. The findings provide a mathematical foundation for understanding multi-level knowledge flow dynamics, suggesting precise conditions for effective interventions to optimize learning in complex organizational systems.https://www.mdpi.com/2227-7390/13/2/294knowledge flow viscositystochastic differential equationsmulti-level organizational dynamicscritical thresholds in knowledge diffusionknowledge management |
| spellingShingle | Jih-Jeng Huang Chin-Yi Chen Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning Barriers Mathematics knowledge flow viscosity stochastic differential equations multi-level organizational dynamics critical thresholds in knowledge diffusion knowledge management |
| title | Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning Barriers |
| title_full | Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning Barriers |
| title_fullStr | Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning Barriers |
| title_full_unstemmed | Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning Barriers |
| title_short | Knowledge Flow Dynamics in Organizations: A Stochastic Multi-Scale Analysis of Learning Barriers |
| title_sort | knowledge flow dynamics in organizations a stochastic multi scale analysis of learning barriers |
| topic | knowledge flow viscosity stochastic differential equations multi-level organizational dynamics critical thresholds in knowledge diffusion knowledge management |
| url | https://www.mdpi.com/2227-7390/13/2/294 |
| work_keys_str_mv | AT jihjenghuang knowledgeflowdynamicsinorganizationsastochasticmultiscaleanalysisoflearningbarriers AT chinyichen knowledgeflowdynamicsinorganizationsastochasticmultiscaleanalysisoflearningbarriers |