Interaction Field Modelling

Vivaldi’s interaction field modeling service helps organizations build dynamic systems of value creation by enabling meaningful interactions across participants—customers, partners, regulators, platforms, and even competitors. This approach powers strategic transformation by modeling how interactions, not just transactions, drive competitive advantage and sustained innovation.

Understanding the Interaction Field

An interaction field is a networked system where multiple actors engage in shared value creation. Unlike traditional business models focused on linear value chains, the interaction field enables cross-functional collaboration and intelligent interactions that evolve with context, behavior, and data.

Vivaldi’s expertise lies in mapping the full structure of interactions within your ecosystem—revealing where value is created, how it’s exchanged, and what is required to scale participation.

Our methodology integrates:

  • Systemic mapping of actors, actions, and outcomes
  • Data analysis and behavioral modeling
  • AI and digital ecosystem design
  • Strategy alignment with brand, product, and technology

Field Model as a Strategic Architecture

We use a proprietary field model to visualize and simulate the ecosystem dynamics of your organization. This field model reflects the presence, flow, and patterns of interactions across participants—a blueprint for structuring future value.

The field model includes:

  • Contextual mapping of key processes and actors
  • Identification of bottlenecks or dormant nodes
  • Interaction density, frequency, and influence analysis

It is both a strategy tool and a platform design enabler.

Creating Interaction Field Advantage

By applying interaction field modeling, Vivaldi helps organizations:

  • Understand how systems of interactions lead to higher loyalty, engagement, and innovation
  • Create structures that support ongoing co-creation
  • Simulate interaction flows before investing in platform development

Our work focuses on enabling:

  • New value creation through open collaboration
  • Dynamic adaptation based on real-time data
  • Systems that evolve with market, consumer, and technological shifts

Phase Field Dislocation Dynamics and Simulation Thinking

Though our work is in business transformation, we draw inspiration from physics-based approaches such as phase field dislocation dynamics. These models simulate complex systems where micro-level interactions influence macro-level behavior—an ideal analogy for interaction field modeling in business.

In materials science, dislocation motion, pinning effect, and cross slip govern the shape and mobility of interstitial atoms. Similarly, in business, the interplay between stakeholders, data, and structure shapes outcomes.

Phase Field Model Applied to Strategy

The phase field model in scientific literature represents phase boundaries and transformations. At Vivaldi, we use it as a metaphor to represent transitions in how value is created. As companies evolve from product-centered to ecosystem-centered thinking, phase field modeling helps:

  • Capture shifts in business model logic
  • Simulate emergent interaction dynamics
  • Reflect structural and behavioral changes across the continuum

These transitions in behavior can be analyzed by implementing computer simulations that represent interaction layers and digital value-adding processes in modern businesses. Our approach brings depth to the way companies design, structure, and scale new initiatives.

Interaction Field Modeling for Business Impact

This modeling process is not theoretical. It is grounded in simulation, experimental data, and real-world systems design. We collect customer data, observe actual usage patterns, and derive insights that influence the structure of the interaction field.

Vivaldi uses field model outputs to guide:

  • Brand architecture and experience strategy
  • Product or service portfolio evolution
  • Platform strategy and ecosystem design

Phase Field Method and Business Innovation

The phase field method involves solving partial differential equations to simulate the evolution of structures. In business, we apply similar logic by using data to project how systems of interactions will behave under changing inputs—from customer behavior shifts to regulatory changes.

Our approach models the long-term behavior of business ecosystems, allowing companies to:

  • Adapt to new value chains
  • Launch models that prioritize co-creation
  • Integrate AI and digital services effectively

Continuum Model and Systems Thinking

Like a continuum model in materials science, an interaction field represents a continuous space of interactions without rigid boundaries. This fluidity supports:

  • Ongoing iteration and feedback
  • Scalable participation from multiple players
  • Resilience against disruption

Dislocation Motion as a Business Analogy

Dislocation motion can change material properties. Likewise, the flow of interactions can transform organizations. When one actor changes behavior, it can cause systemic shifts. Interaction field modeling makes such movements visible and actionable.

The pinning effect is also critical in understanding how some players restrict the fluidity or expansion of an ecosystem. By mapping such effects in business ecosystems, we help clients identify resistance to change and develop strategies to address it.

Phase Field: A Lens for Ecosystem Growth

We use the concept of phase field to model zones of transition within organizations. It helps us:

  • Simulate the growth of new services
  • Analyze how structure influences outcomes
  • Predict phase shifts in value creation strategies

A strong interaction field is supported by a model that can simulate how interstitial atoms—in this case, individual customers, partners, or external influencers—move within and contribute to the system. These simulations mirror the dynamic role of context and structure.

Field Model in Action: Case Examples

Across industries, we’ve used interaction field modeling to guide growth:

  • In mobility, to simulate platform-user-developer-regulator interaction fields
  • In finance, to visualize how trust, data sharing, and behavior interrelate
  • In health, to design new models of patient-centered care ecosystems

The result is new clarity, enabling organizations to act decisively. Computer vision applications and simulation results have shown the influence of user behavior on platform adaptation in dynamic industries.

Referencing Acta Mater and Scientific Thinking

Our methodology draws inspiration from scientific approaches, including those published in journals like Acta Mater. While we operate in the domain of business and innovation, we find that the rigor and simulation thinking from materials science provides powerful analogies for business model formation and transformation.

Through data collection and modeling, we present structured models that explore how interaction fields evolve. The field model is not static; it incorporates continuous improvement, feedback loops, and systemic design principles.


Ready to create a system where every interaction contributes to competitive advantage? Contact us to explore how interaction field modeling can transform your ecosystem and unlock new value.

Get in touch

Frequently Asked Questions

What is interaction field modeling?

Interaction field modeling is Vivaldi’s approach to simulating how value is created through meaningful interactions across business ecosystems. It enables companies to design and optimize systems for co-creation, growth, and innovation.

How does the field model work?

The field model visualizes participants, interactions, and processes across an ecosystem. It reveals where value flows, where friction exists, and how to improve participation and engagement.

Why reference phase field dislocation dynamics?

These physics-based models illustrate how local interactions cause systemic shifts. They serve as a metaphor for how individual actor behavior in a business ecosystem can shape large-scale value outcomes.

Can interaction field modeling improve customer experience?

Yes. By understanding the structure of interactions, companies can optimize for more seamless, personalized, and impactful engagement—across digital and physical touchpoints.

What outcomes can we expect?

Clients experience improved strategic clarity, better ecosystem design, and more informed decision-making. Interaction field modeling helps organizations unlock hidden sources of value and respond faster to changing contexts.