Existence of free energy for models with long-range random Hamiltonians

Autor:	Khanin, K. M., Sinai, Ya. G.
Zdroj:	Journal of Statistical Physics; June 1979, Vol. 20 Issue: 6 p573-584, 12p
Abstrakt:	Classical lattice systems with random Hamiltonians $$\frac{1}{2}\sum\limits_{x_1 \ne x_2 } {\frac{{\varepsilon (x_1 ,x_2 )\varphi (x_1 )\varphi (x_2 )}}{{\left| {x_1 - x_2 } \right|^{\alpha d} }}}$$ are considered, whered is the dimension, ande(x1,x2) are independent random variables for different pairs (x1,x2),Ee(x1,x2) = 0. It is shown that the free energy for such a system exiists with probability 1 and does not depend on the boundary conditions, provideda > 1/2.
Databáze:	Supplemental Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink