On Equivalence between Kinetic Equations and Geodesic Equations in Spaces with Affine Connection

نویسندگان

چکیده

Discrete kinetic equations describing binary processes of agglomeration and fragmentation are considered using formal equivalence between the geodesic some affinely connected space A associated with equation called affine connection. The geometric properties treated locally in coordinate chart (x;U). peculiarity is that coordinates (x) selected local chart, Christoffel symbols defining connection constant. Examples Smoluchowski for without exchange-driven growth small dimensions terms equations. When taken into account, can be written as quasigeodesics. Particular cases spaces symmetries discussed.

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ژورنال

عنوان ژورنال: Symmetry

سال: 2023

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym15040905