Heat capacity of pancake vortices in layered superconductors

The heat capacity of a lattice of pancake vortices in a layered superconductor with perpendicular magnetic field B is evaluated in the limit H(c1)much less than B much less than H-c2. The coupled dynamical equations for small oscillations of the vortex lattice are solved for general values of the vortex mass m(v), the Magnus force parameter cu, and the viscosity eta s, where s is the interlayer separation, and the contribution of each normal mode is expressed as a Fourier integral involving the correlation functions of the fluctuating random forces: The total heat capacity per vortex is found numerically for various values of the dimensionless ratio alpha/eta s that characterizes the relative importance of the Magnus force and the viscous drag force.