Boltzmann, L. (1872) Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen. Sitzungsberichte Akademie der Wissenschaften, 66, 275-370. [English Translation: Boltzmann, L. (2003) Further Studies on the Thermal Equilibrium of Gas Molecules, The Kinetic Theory of Gases. History of Modern Physical Sciences, 1, 262-349.]
 Andreas, T. (1999) Energy, Entropy: On the Occasion of the 100th Anniversary of Loschmidt’s Death in 1895: Is Loschmidt’s Greatest Discovery Waiting for Its Discovery? Physics Essays, 12, 614-628.
 Evans, D.J., Cohen, E.G.D. and Morriss, G.P. (1993) Probability of Second Law Violation in Shearing Steady States. Physical Review Letters, 71, 2401-2404.
 Klimenko, A.Y. (2017) Kinetics of Interactions of Matter, Antimatter and Radiation Consistent with Antisymmetric (CPT-Invariant) Thermodynamics. Entropy, 19, 202.
 Note: The mobility gradient effect may be familiar to anyone who has driven in winter on a slippery road, lightly covered with snow in the center (because of traffic), and more heavily, near the shoulder. Driving slightly off center, say to the right, increases drag on the right wheels, producing a torque that makes the car veer right, thereby producing more drag on the right wheels. A force is generated perpendicularly to the direction of motion and along the mobility gradient, causing the car to drift quickly and uncontrollably off the icy road and into the snowbank. In this case, there is no magnetic field and the resulting motion occurs along this force.
 Levy, G.S. (2017) The Reciprocal Hall Effect, CPT Symmetry and the Second Law. Open Science, 4, 1-8.
 Levy, G.S. (2017) Choosing between the Reciprocal Hall Effect, CPT symmetry and the Second Law. The Open Science Journal of Modern Physics, 4, 1-8.
 Crooks, G.E. (1999) The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences. Physical Review E, 60, 2721.
 Sheehan, D.P. and Gross, D.H.E. (2006) Extensivity and the Thermodynamic Limit: Why Size Really Does Matter. Physica A: Statistical Mechanics and Its Applications, 370, 461-482.
 Note: The author acknowledges that in previous publications     he relied on the skewing of distributions by quantum statistics and takes this opportunity to correct the record. The quantum statistical examples he used in these papers do not skew the distribution of thermal carriers (unfrozen microstates). However, the CPT symmetrical systems discussed in this paper do. All previously published results relying on statistical skewing still stand when applied to CPT symmetric systems. Asymmetrical statistics can bypass the second law, temperature gradients can form spontaneously. Heat flow in the presence of a magnetic field can have circulation implying that temperature and entropy may not be scalar.
 Uffink, J. (2006) Compendium of the Foundations of Classical Statistical Physics. 44-45.
 Brown, H. and Myrvold, W. (2008) PhilSci-Archive.
 Levy, G.S. (2018) Using Quantum Statistics to Win at Thermodynamics, and Cheating in Vegas. Journal of Applied Mathematics and Physics, 6, 2166-2179.
 Levy, G.S. (2016) Anomalous Temperature Gradient in Non-Maxwellian Gases. In: Ceramics for Energy Conversion, Storage, and Distribution Systems: Ceramic Transactions, Volume 255, Wiley, Hoboken, NJ.