Abstract.We discuss a group of models relating to the Ising model, which we call games. A game represents an evolving design on a lattice or graph which is the temporal structure for the system, with a well-defined path corresponding to an actual experiment on the system. Time would be observed to vary in an ordinary incremental manner, associated with the path, while other lattice sites cannot be directly observed. We consider the evolution of the game in both a classical and quantum setting, and by coupling the game to a heat reservoir, consider the thermodynamics of the game.

Received: August 17, 2007

AMS Subject Classification: 82D30, 81P15, 82C20, 82C26

Key Words and Phrases: nonequilibrium statistical mechanics, quantum mechanics

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4