Stochastic birth-and-growth processes modelling crystallization of polymers with spatially heterogeneous parameters

DOI10.1016/S0362-546X(99)00289-8zbMath0985.60051MaRDI QIDQ5933581

Vincenzo Capasso, Claudia Salani

Publication date: 20 May 2002

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

formation of germs of crystalsMarkov modelPoisson field

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

Modelling multi-dimensional crystallization of polymers in interaction with heat transfer. ⋮ MATHEMATICAL MODELLING AND SIMULATION OF NON-ISOTHERMAL CRYSTALLIZATION OF POLYMERS ⋮ Set-Indexed Itô Calculus Along Paths ⋮ On the multiple hyperbolic systems modelling phase transformation kinetics ⋮ Survival Functions and Contact Distribution Functions for Inhomogeneous, Stochastic Geometric Marked Point Processes ⋮ On different topologies for set-indexing collections ⋮ Global weak solutions of non-isothermal front propagation problem ⋮ An approximation of the analytic solution of some nonlinear heat transfer in fin and 3D diffusion equations using HAM

Cites Work

• Point processes and queues. Martingale dynamics
• The stochastic geometry of polymer crystallization processes¹
• A martingale characterization of the set-indexed poisson process
• Statistical models based on counting processes
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