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The precise measurements of vortex melting point towards a need to develop aquantitative theoretical description of thermal fluctuations in vortex matter.To tackle the difficult problem of melting, the description of both the solidand the liquid phase should reach the precision level well below 0.1%. Such atheory in the framework of the Ginzburg - Landau approach is presented. Themelting line location is determined and magnetization, specific heat jumpsalong it are calculated. We find that the magnetization in the liquid is largerthan that in the solid by 1.8% regardless of the melting temperature, while thespecific heat jump is about 6% and slowly decreases with temperature. Themagnetization curves agree with experimental results on $YBCO$ and Monte Carlosimulations.Comment: 4 pages and 3 figure

physical review. b, condensed matter

Melting of the vortex lattice in high<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>−</mml:mi><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductors

Melting of the vortex lattice in high−Tcsuperconductors