Insight into entropy

What is the qualitative character of entropy? Several examples from statistical mechanics (including liquid crystal reentrant phases, two different lattice gas models, and the game of poker) demonstrate facets of this difficult question and point toward an answer. The common answer of “entropy as disorder” is regarded here as inadequate. An alternative but equally problematic analogy is “entropy as freedom.” Neither simile is perfect, but if both are used cautiously and not too literally, then the combination provides considerable insight.

[1]  D. Guillon,et al.  X-Ray Study and Microscopic Study of the Reentrant Nematic Phase , 1978 .

[2]  P. Pesic The principle of identicality and the foundations of quantum theory. I. The Gibbs paradox , 1991 .

[3]  R. Birgeneau,et al.  Phases and phase transitions , 1982 .

[4]  Dan Constantin Radulescu,et al.  The Dobrushin-Shlosman phase uniqueness criterion and applications to hard squares , 1987 .

[5]  Incomplete descriptions and relevant entropies , 1999, cond-mat/9907015.

[6]  J. Finney,et al.  The structure of a new phase of ice , 1998, Nature.

[7]  Shri Singh,et al.  Phase transitions in liquid crystals , 2000 .

[8]  S. K. Tsang,et al.  Hard-square lattice gas , 1980 .

[9]  D. S. Gaunt,et al.  Hard‐Sphere Lattice Gases. I. Plane‐Square Lattice , 1965 .

[10]  H. S. Leff What if entropy were dimensionless , 1999 .

[11]  Blank,et al.  In situ observations of a high-pressure phase of H2O Ice , 1998, Science.

[12]  P. Wright Entropy and disorder , 1970 .

[13]  D. V. Schroeder,et al.  A different approach to introducing statistical mechanics , 2015, 1502.07051.

[14]  H. A. Johnson,et al.  Heat Transfer, Thermodynamics and Education. Boelter Anniversary Volume , 1965 .

[15]  A. Malozemoff,et al.  Magnetic relaxation in high-temperature superconductors , 1996 .

[16]  Harvey S. Leff,et al.  Thermodynamic entropy: The spreading and sharing of energy , 1996 .

[17]  D. Hestenes Entropy and Indistinguishability , 1970 .

[18]  F. Drechsler The Concept of Entropy , 1970 .

[19]  R. Birgeneau The Richtmyer Memorial Lecture (January 1989): Novel magnetic phenomena and high‐temperature superconductivity in lamellar copper oxides , 1990 .

[20]  Jonathan Machta,et al.  Entropy, information, and computation , 1999 .