Abstract
Starting from a passivity condition based on the second law of thermodynamics [12], we show that ground states and Gibbs states (0<β<∞) are essentially the only passive states.
Similar content being viewed by others
References
ArakiH.,Comm. Math. Phys. 38, 1 (1974).
ArakiH. and SewellG. L.,Comm. Math. Phys. 52, 103 (1977).
AizenmanM. and LebowitzJ. L.,J. Math. Phys. 16, 1284 (1975).
AizenmanM., GoldsteinS., GruberC., LebowitzJ. L., and MartinP.,Comm. Math. Phys. 53, 209 (1977).
DemoenB., VanheuverzwijnP., and VerbureA.,J. Math. Phys. 19, 2256 (1978).
Emch, G. G.,Algebraic Methods in Statistical Mechanics and Quantum Field Theory, Wiley Interscience, 1972.
GallavottiG. and VerbovenE.,Il Nuovo Cimento 28B, 274 (1975).
IsiharaA.,Statistical Physics, Academic Press, New York, 1971.
Kastler, D., ‘Equilibrium States of Matter and Operator Algebras’,Istituto Nazionale di Alta Matamatica Symposia Matematica, Vol. XX, Roma 1976.
KastlerD., HaagR., and Trych-PohlmeyerE.,Comm. Math. Phys. 38, 173 (1974).
LenardA.,J. Statistical Phys. 19, 575 (1978).
PuszW. and WoronowiczS. L.,Comm. Math. Phys. 58, 273 (1978).
SchwartzL.,Theorie des distributions, Hermann, Paris, 1966.
Author information
Authors and Affiliations
Additional information
Research supported by M. Skłodowska-Curie Fund Grant No. OIP74-01416.
Rights and permissions
About this article
Cite this article
Górecki, J., Pusz, W. Passive states for finite classical systems. Lett Math Phys 4, 433–443 (1980). https://doi.org/10.1007/BF00943428
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00943428