Daniel M Danchev

EXACT THREE-DIMENSIONAL CASIMIR FORCE AMPLITUDE, C FUNCTION, AND BINDER'S CUMULANT RATIO : SPHERICAL MODEL RESULTS

The three dimensional mean spherical model on a hypercubic lattice with a film geometry

New surface critical exponents in the spherical model

L\times \infty ^2

Surface critical exponents for a three-dimensional modified spherical model

under periodic boundary conditions is considered in the presence of an external magnetic field

Logarithmic finite-size corrections in the three-dimensional mean spherical model

H

On the finite-temperature generalization of the C-theorem and the interplay between classical and quantum fluctuations

. The universal Casimir amplitude

Finite-size dependence of the helicity modulus within the mean spherical model

\Delta

Theory of Critical Phenomena in Finite-Size Systems: Scaling and Quantum Effects

and the Binders cumulant ratio

FINITE-SIZE SCALING CASIMIR FORCE FUNCTION : EXACT SPHERICAL-MODEL RESULTS

B

The Approximating Hamiltonian Method

are calculated exactly and found to be

Exactly Solved Models

\Delta =-2\zeta (3)/(5\pi)\approx -0.153051