Phenomenological and Theoretical Analysis of Relativistic Temperature Transformation and Relativistic Entropy
There are three possible effects of Special Theory of
Relativity (STR) on a thermodynamic system. Planck and Einstein
looked upon this process as isobaric; on the other hand Ott saw it as
an adiabatic process. However plenty of logical reasons show that the
process is isotherm. Our phenomenological consideration
demonstrates that the temperature is invariant with Lorenz
transformation. In that case process is isotherm, so volume and
pressure are Lorentz covariant. If the process is isotherm the Boyles
law is Lorentz invariant. Also equilibrium constant and Gibbs energy,
activation energy, enthalpy entropy and extent of the reaction became
Lorentz invariant.
[1] Planck M. Ann.Phys.Leipzig, 1908, vol. 26.
[2] Ott H. Lorenz transformation der Warme und der Temperatur, Z. Phys.,
1963, vol. 175, no 1.
[3] P. Goodinson, B.L. Luffman, The relativistic transformation law for the
ideal gas scale of temperature, Nuovo Cimento B, serie 11, vol 60B,
1980.
[4] P. Landsberg, G. Matsas, Laying the ghost of the relativistic temperature
transformation, Physics letters A, 223, (6), pp 401-403.
[5] N. Agmon, Relativistic transformation of thermodynamic quantities,
Foundation of Physics, vol.7,N2 5-6,1977, pp 331-339.
[6] I. Avramov, Relativity and Temperature, Russian Journal of Physical
Chemistry, vol. 77, suppl. 1,2003,pp S179-S182.
[7] E. Bormashenko Entropy of Relativistic Mono-Atomic Gas and
Temperature Relativistic Transformation in Thermodynamics, Entropy,
2007, 9, 113-117.
[8] H. Shen: Application of analytical thermodynamics: Relativistic
transformation of temperature in equilibrium thermodynamics, Wuli
Xuebao/Acta Physica Sinica 54 (6), 2005, pp. 2482-2488.
[9] Ohsumi Y. Reaction Kinetics in special and general relativity and its
applications to temperature transformation and biological systems,
Physical Review, nov. 1987, vol.36, no10, pp. 4984-4995.
[10] Newburgh: Relativistic thermodynamics, Temperature transformations,
invariance and measurement, Il Nuovo Cimento B, vol 52, Nr 2, 1979,
pp 219-228.
[11] P.T.Landsberg,K.A.Johns:The problem of moving thermometers,
proceedings of RS of London, Series A, Mathematical and Physical
Sciences, vol 306,No 1487, 1968, pp 477-486.
[12] Tolman R. Relativity Thermodynamics and Cosmology,
Oxford:Clarendon, 1934.
[13] Pauli W. Theory of relativity, New York: Pergamon Press, 1958.
[14] N. Udey, D. Shim, T. J. T. Spanos ,:A Lorentz Invariant Thermal Lattice
Gas Model Mathematical, Physical and Engineering Sciences, Vol.
455, No. 1990 (Oct. 8, 1999), pp. 3565-3587.
[15] Landsberg ,Matsas,The impossibility of a universal relativistic
temperature transformation, Physica A: Statistical Mechanics and its
Applications 340, (1-3), 2004, pp. 92-94.
.
[1] Planck M. Ann.Phys.Leipzig, 1908, vol. 26.
[2] Ott H. Lorenz transformation der Warme und der Temperatur, Z. Phys.,
1963, vol. 175, no 1.
[3] P. Goodinson, B.L. Luffman, The relativistic transformation law for the
ideal gas scale of temperature, Nuovo Cimento B, serie 11, vol 60B,
1980.
[4] P. Landsberg, G. Matsas, Laying the ghost of the relativistic temperature
transformation, Physics letters A, 223, (6), pp 401-403.
[5] N. Agmon, Relativistic transformation of thermodynamic quantities,
Foundation of Physics, vol.7,N2 5-6,1977, pp 331-339.
[6] I. Avramov, Relativity and Temperature, Russian Journal of Physical
Chemistry, vol. 77, suppl. 1,2003,pp S179-S182.
[7] E. Bormashenko Entropy of Relativistic Mono-Atomic Gas and
Temperature Relativistic Transformation in Thermodynamics, Entropy,
2007, 9, 113-117.
[8] H. Shen: Application of analytical thermodynamics: Relativistic
transformation of temperature in equilibrium thermodynamics, Wuli
Xuebao/Acta Physica Sinica 54 (6), 2005, pp. 2482-2488.
[9] Ohsumi Y. Reaction Kinetics in special and general relativity and its
applications to temperature transformation and biological systems,
Physical Review, nov. 1987, vol.36, no10, pp. 4984-4995.
[10] Newburgh: Relativistic thermodynamics, Temperature transformations,
invariance and measurement, Il Nuovo Cimento B, vol 52, Nr 2, 1979,
pp 219-228.
[11] P.T.Landsberg,K.A.Johns:The problem of moving thermometers,
proceedings of RS of London, Series A, Mathematical and Physical
Sciences, vol 306,No 1487, 1968, pp 477-486.
[12] Tolman R. Relativity Thermodynamics and Cosmology,
Oxford:Clarendon, 1934.
[13] Pauli W. Theory of relativity, New York: Pergamon Press, 1958.
[14] N. Udey, D. Shim, T. J. T. Spanos ,:A Lorentz Invariant Thermal Lattice
Gas Model Mathematical, Physical and Engineering Sciences, Vol.
455, No. 1990 (Oct. 8, 1999), pp. 3565-3587.
[15] Landsberg ,Matsas,The impossibility of a universal relativistic
temperature transformation, Physica A: Statistical Mechanics and its
Applications 340, (1-3), 2004, pp. 92-94.
.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:62467", author = "Marko Popovic", title = "Phenomenological and Theoretical Analysis of Relativistic Temperature Transformation and Relativistic Entropy", abstract = "There are three possible effects of Special Theory of
Relativity (STR) on a thermodynamic system. Planck and Einstein
looked upon this process as isobaric; on the other hand Ott saw it as
an adiabatic process. However plenty of logical reasons show that the
process is isotherm. Our phenomenological consideration
demonstrates that the temperature is invariant with Lorenz
transformation. In that case process is isotherm, so volume and
pressure are Lorentz covariant. If the process is isotherm the Boyles
law is Lorentz invariant. Also equilibrium constant and Gibbs energy,
activation energy, enthalpy entropy and extent of the reaction became
Lorentz invariant.", keywords = "STR, relativistic temperature transformation, Boyle'slaw, equilibrium constant, Gibbs energy.", volume = "2", number = "2", pages = "154-5", }