Thermodynamics from a scaling Hamiltonian

Article

关键词: LONG-RANGE INTERACTIONS;    NONEXTENSIVE THERMOSTATISTICS;    CRITICAL-BEHAVIOR;    FERROMAGNETISM;    EQUILIBRIUM;    MODELS;   

DOI  :  10.1103/PhysRevB.76.172402

来源: SCIE

【 摘 要 】

There are problems with defining the thermodynamic limit of systems with long-range interactions; as a result, the thermodynamic behavior of these types of systems is anomalous. In the present work, we review some concepts from both extensive and nonextensive thermodynamic perspectives. We use a model, whose Hamiltonian takes into account spins ferromagnetically coupled in a chain via a power law that decays at large interparticle distance r as 1/r(alpha) for alpha >= 0. Here, we review old nonextensive scaling. In addition, we propose a Hamiltonian scaled by 2(N/2)(1-alpha)-1/1-alpha that explicitly includes symmetry of the lattice and dependence on the size N of the system. The approach enabled us to improve upon previous results. A numerical test is conducted through Monte Carlo simulations. In the model, periodic boundary conditions are adopted to eliminate surface effects.

【 授权许可】

Free