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The modified Klein Gordon equation for neolithic population migration

2007/03/11 by M. Pelc, Magdalena Pelc, J. Marciak-Kozlowska +6
Earth and Planetary Sciences · Physics and Astronomy · #Archaeology and ancient environmental studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Geology and Paleoclimatology Research #earthquake and tectonic studies #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0703120

9 pages

arxiv created 2007/03/11 · openalex publication_date 2007/03/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the model for the neolithic migration in Europe is developed. The new migration equation, the modified Klein Gordon equation is formulated and solved. It is shown that the migration process can be described as the hyperbolic diffusion with constant speed. In comparison to the existing models based on the generalization of the Fisher approach the present model describes the migration as the transport process with memory and offers the possibility to recover the initial state of migration which is the wave motion with finite velocity.

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