CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
On the relation of dynamics to statistical mechanics
Authors
A. Einstein
A. Grecos
+44 more
A. N. Kolmogoroff
A. P. Grecos
A. P. Grecos
A. P. Grecos
Cl. George
Cl. George
D. Haar Ter
E. Fermi
E. Hille
E. T. Whittaker
H. Poincar�
H. Poincar�
I. E. Farquhar
I. Prigogine
I. Prigogine
I. Prigogine
I. Prigogine
I. Prigogine
I. Prigogine
I. Prigogine
J. C. Maxwell
J. Ford
J. Ford
J. L. Lebowitz
J. Moser
J. Rae
J. W. Gibbs
J. W. Turner
L. A. Pars
L. Boltzmann
L. Boltzmann
L. Brillouin
L. Hove Van
M. Courbage
N. Bohr
N. Mushkelishvili
P. Ehrenfest
P. R�sibois
P. Walters
R. Balescu
R. Balescu
T. M. Cherry
V. I. Arnold
Ya. G. Sinai
Publication date
1 December 1977
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
Abstract
A new conceptual framework for the foundations of statistical mechanics starting from dynamics is presented. It is based on the classification and the study of invariants in terms of the concepts of our formulation of non-equilibrium statistical mechanics. A central role is played by the collision operator. The asymptotic behaviour of a class of states is determined by the collisional invariants independently of the ergodicity of the system. For this class of states we have an approach to thermodynamical equilibrium. We discuss the existence of classes of states which approach equilibrium. The complex microstructure of the phase space, as expressed by the weak stability concept which was introduced by Moser and others, plays here an essential role. The formalism that we develop is meaningful whenever the "dissipativity condition" for the collision operator is satisfied. Assuming the possibility of a weak coupling approximation, this is in fact true whenever Poincaré's theorem on the nonexistence of uniform invariants holds. In this respect, our formalism applies to few body problems and no transition to the thermodynamic limit is required. Our approach leads naturally to a 'classical theory of measurement'. In particular a precise meaning can now be given to 'thermodynamic variables' or to 'macrovariables' corresponding to a measurement in classical dynamics. © 1977 D. Reidel Publishing Company.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
Similar works
Full text
Available Versions
Crossref
See this paper in CORE
Go to the repository landing page
Download from data provider
Last time updated on 11/12/2019
DI-fusion
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:dipot.ulb.ac.be:2013/18284...
Last time updated on 23/02/2017