Abstract

The nature of the thermodynamic behavior of Type I superconductor particles, having a cross section less than the Ginzburg-Landau temperature dependent coherence length is discussed for magnetic field induced adiabatic phase transitions from the superconductive state to the normal state. Argument is advanced supporting the view that when the adiabatic magneto-caloric process is applied to particles, the phase transition is characterized by a decrease in entropy in violation of traditional formulations of the Second Law, evidenced by attainment of a final process temperature below that which would result from an adiabatic magneto-caloric process applied to bulk dimensioned specimens.

Highlights

  • The adiabatic phase transition of bulk dimensioned Type I superconductors has been studied extensively both theoretically and experimentally [1,2,3,4,5,6,7,8,9]

  • The Discussion begins with a summary description of the adiabatic phase transition of bulk Type I superconductors, which is used in the latter parts of the Discussion for comparative reference to the particle dimensioned transition description

  • The process under which this occurs, the adiabatic magneto-caloric effect, leads to an isentropic phase transition [6] involving the appearance of a mixture of superconductive and normal phases

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Summary

INTRODUCTION

The adiabatic phase transition of bulk dimensioned Type I superconductors has been studied extensively both theoretically and experimentally [1,2,3,4,5,6,7,8,9]. This paper investigates Second Law implications of relaxation phenomena in the adiabatic phase transition of particles of dimension on the order of the Ginzburg-Landau temperature dependent coherence length, ξ(T), typically 10-4 to 10-5 centimeters. The Discussion begins with a summary description of the adiabatic phase transition (adiabatic magneto-caloric effect) of bulk Type I superconductors, which is used in the latter parts of the Discussion for comparative reference to the particle dimensioned transition description. The Ginzburg-Landau Theory will provide the basis for discussion of the particle dimensioned transition process. The major object of this paper is to provide a direction for experimental investigations in this area

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