TY - CHAP

T1 - Relativistic classical and quantum statistical mechanics and covariant boltzmann equation

AU - Horwitz, Lawrence P.

N1 - Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.

PY - 2015

Y1 - 2015

N2 - In this chapter, we shall discuss the statistical mechanics of a many event system, for which the points in space time constitute the fundamental entities for which distribution functions must be constructed to achieve a manifestly covariant theory. Assuming that each event is part of an evolving world line, as in our construction of Chap. 4. the counting of events is essentially equivalent to the counting of world lines corresponding to particles. Therefore one should expect that, as we indeed find, the statistical mechanics of events is closely related to the theory of statistical mechanics of particles, as developed, for example, in Synge (1957); see also, de Groot (1980). Hakim (2011), Israel and Kandrup (1984) stress the importance of manifest covariance. We construct a canonical Gibbs ensemble based on a microcanonical ensemble, as is usual in statistical mechanics (e.g. Huang 1967), enabling us to define a temperature and the basic thermodynamic functions (Horwitz 1981).

AB - In this chapter, we shall discuss the statistical mechanics of a many event system, for which the points in space time constitute the fundamental entities for which distribution functions must be constructed to achieve a manifestly covariant theory. Assuming that each event is part of an evolving world line, as in our construction of Chap. 4. the counting of events is essentially equivalent to the counting of world lines corresponding to particles. Therefore one should expect that, as we indeed find, the statistical mechanics of events is closely related to the theory of statistical mechanics of particles, as developed, for example, in Synge (1957); see also, de Groot (1980). Hakim (2011), Israel and Kandrup (1984) stress the importance of manifest covariance. We construct a canonical Gibbs ensemble based on a microcanonical ensemble, as is usual in statistical mechanics (e.g. Huang 1967), enabling us to define a temperature and the basic thermodynamic functions (Horwitz 1981).

KW - Black body radiation

KW - Canonical ensemble

KW - Grand canonical ensemble

KW - Nonrelativistic limit

KW - World line

UR - http://www.scopus.com/inward/record.url?scp=85091423781&partnerID=8YFLogxK

U2 - 10.1007/978-94-017-7261-7_10

DO - 10.1007/978-94-017-7261-7_10

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AN - SCOPUS:85091423781

T3 - Fundamental Theories of Physics

SP - 173

EP - 200

BT - Fundamental Theories of Physics

PB - Springer Science and Business Media Deutschland GmbH

ER -