Thermodynamic Properties of the One-Dimensional Two-Component Log-Gas
نویسنده
چکیده
We consider a one-dimensional continuum gas of pointlike positive and negative unit charges interacting via a logarithmic potential. The mapping onto a twodimensional boundary sine-Gordon field theory with zero bulk mass provides the full thermodynamics (density-fugacity relationship, specific heat, etc.) of the loggas in the whole stability range of inverse temperatures β < 1. An exact formula for the excess chemical potential of a “foreign” particle of an arbitrary charge, put into the log-gas, is derived. The results are checked by a small-β expansion and at the collapse β = 1 point. The possibility to go beyond the collapse temperature is discussed.
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