Nonequilibrium Aspects of Transfer Matrices : Complex Dynamics in Nonlinear Systems

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概要

• 論文の詳細を見る

• A set of functions associated with the eigenstates of the transfer matrix, referred to as `generalized probability densities', are defined. It is shown that, under a set of reasonable regularity conditions, these functions lead to constrained nonequilibrium generalizations of the entropy, internal energy, magnetization, and free energy for a discrete Ising or lattice-gas system. The behavior of these `generalized state functions' is studied numerically for a simple model system with variable interaction range, N, which is known to approach the mean-field limit as N→∞. At a temperature below the mean-field critical temperature clear indications of stable, metastable, and unstable states are observed. The approach appears promising, and topics for future research are suggested.

• 理論物理学刊行会の論文
• 1990-03-28

著者

• Rikvold Per

  Department Of Physics And Supercomputer Computations Research Institute And Center For Materials Res

• Rikvold Per

  Department Of Physics And Supercomputer Computations Research Institute And Center For Materials Research And Technology Florida State University

関連論文

• Nonequilibrium Aspects of Transfer Matrices : Complex Dynamics in Nonlinear Systems

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