The cluster expansion in statistical mechanics
dc.contributor.author | Federbush, Paul G. | en_US |
dc.contributor.author | Brydges, David C. | en_US |
dc.date.accessioned | 2006-09-11T17:52:33Z | |
dc.date.available | 2006-09-11T17:52:33Z | |
dc.date.issued | 1976-10 | en_US |
dc.identifier.citation | Brydges, David; Federbush, Paul; (1976). "The cluster expansion in statistical mechanics." Communications in Mathematical Physics 49(3): 233-246. <http://hdl.handle.net/2027.42/46514> | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46514 | |
dc.description.abstract | The Glimm-Jaffe-Spencer cluster expansion from constructive quantum field theory is adapted to treat quantum statistical mechanical systems of particles interacting by finite range potentials. The Hamiltonian H 0 + V need be stable in the extended sense that H 0 +4 V + BN ≧0 for some B . In this situation, with a mild technical condition on the potentials, the cluster expansion converges and the infinite volume limit of the correlation functions exists, at low enough density. These infinite volume correlation functions cluster exponentially. We define a class of interacting boson and fermion particle theories with a matter-like potential, 1/ r suitably truncated at large distance. This system would collapse in the absence of the exclusion principle—the potential is unstable—but the Hamiltonian is stable. This provides an example of a system for which our method proves existence of the infinite volume limit, that is not covered by the classic work of Ginibre, which requires stable potentials. | en_US |
dc.format.extent | 755787 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.title | The cluster expansion in statistical mechanics | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46514/1/220_2005_Article_BF01608729.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01608729 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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