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Название: Existence of Free Energy for Models with Long-Range Random Hamiltonians
Авторы: Khanin K.M., Sinai Ya.G.
Classical lattice systems with random Hamiltonians are considered, whered is the dimension, and(x 1,x 2) are independent random variables for different pairs (x 1,x 2),E(x 1,x 2) = 0. It is shown that the free energy for such a system exiists with probability 1 and does not depend on the boundary conditions, provided > 1/2.
Key words Random interactions - random variables - long range - free energy - Hamiltonian - spin system - partial function.