Absence of Phase Transitions in Hard-Core One-Dimensional Systems with Long-Range Interactions | Zendy

Giovanni Gallavotti | Zendy; Salvador Miracle-Solé | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Absence of Phase Transitions in Hard-Core One-Dimensional Systems with Long-Range Interactions

Author(s) -

Giovanni Gallavotti,

Salvador Miracle-Solé

Publication year - 1970

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1665040

Subject(s) - property (philosophy) , range (aeronautics) , statistical physics , impossibility , class (philosophy) , phase transition , state (computer science) , mathematics , cluster (spacecraft) , cluster expansion , core (optical fiber) , phase (matter) , physics , quantum mechanics , computer science , algorithm , philosophy , materials science , epistemology , artificial intelligence , political science , law , composite material , programming language , optics

The free energy and the correlation functions are proved to be analyticfunctions of the inverse temperature β, the external magnetic field H, andthe impurity probability p, provided the temperature is high enough and thespin‐spin interaction has finite range. In particular, this excludesspontaneous magnetization at high temperatures

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research