Thermodynamic length in a two-dimensional thermodynamic state space

Thermodynamic Length in a 2-d Thermodynamic State Space

Abstract. The main goal of this paper is to reach an explicit formulation and possible interpretation of thermodynamic length in a thermodynamic state space with two degrees of freedom. Using the energy and entropy metric in a general form, we get explicit results about thermodynamic length along isotherms, its relation with work and with speed of sound. We also look at the relation between the...

Measuring thermodynamic length.

Thermodynamic length is a metric distance between equilibrium thermodynamic states. Among other interesting properties, this metric asymptotically bounds the dissipation induced by a finite time transformation of a thermodynamic system. It is also connected to the Jensen-Shannon divergence, Fisher information, and Rao's entropy differential metric. Therefore, thermodynamic length is of central ...

STATISTICAL-MECHANICAL CALCULATION OF THERMODYNAMIC PROPERTIES OF ALBITE USING A TWO-DIMENSIONAL MODEL

Thermodynamic Properties of the Two-Dimensional Two-Component Plasma

The model under consideration is a two-dimensional two-component plasma, stable against collapse for the dimensionless coupling constant β < 2. The combination of a technique of renormalized Mayer expansion with the mapping onto the sine-Gordon theory provides the full thermodynamics of the plasma in the whole stability range of β. The explicit forms of the density-fugacity relationship and of ...

Thermodynamic Properties of the One-Dimensional Two-Component Log-Gas

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...