Signature of Thermal Rigidity Percolation

4th National Meeting in Chaos, Complex System and Time Series

Huerta, Adrián^1

Departamento de Física, Facultad de Física e Inteligencia Artificial, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltran s/n Zona Universitaria, Xalapa, Ver. C.P. 91000, Mexico^1

关键词: Elementary excitations;    Ising Hamiltonians;    Macroscopic properties;    Physical clusters;    Redundant constraints;    Rigidity percolation;    Thermal fluctuations;    Translational degrees of freedoms;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/475/1/012007/pdf
DOI  :  10.1088/1742-6596/475/1/012007

来源: IOP

【 摘 要 】

To explore the role that temperature and percolation of rigidity play in determining the macroscopic properties, we propose a model that adds translational degrees of freedom to the spins of the well known Ising hamiltonian. In particular, the Ising model illustrate the longstanding idea that the growth of correlations on approach to a critical point could be describable in terms of the percolation of some sort of "physical cluster". For certain parameters of this model we observe two well defined peaks of CV, that suggest the existence of two kinds of "physical percolation", namely connectivity and rigidity percolation. Thermal fluctuations give rise to two different kinds of elementary excitations, i.e. droplets and configuron, as suggested by Angell in the framework of a bond lattice model approach. The later is reflected in the fluctuations of redundant constraints that gives stability to the structure and correlate with the order parameter.