منابع مشابه
Geometrically frustrated antiferromagnets: statistical mechanics and dynamics
1.1 Introduction This chapter is intended to give an introduction to the theory of thermal fluctuations and their consequences for static and dynamic correlations in geometrically frustrated antiferromagnets, focusing on the semiclassical limit, and to discuss how our theoretical understanding leads to an explanation of some of the main observed properties of these systems. A central theme will...
متن کاملStatistical Mechanics of Violent Relaxation in Stellar Systems
We discuss the statistical mechanics of violent relaxation in stellar systems following the pioneering work of Lynden-Bell (1967). The solutions of the gravitational Vlasov-Poisson system develop finer and finer filaments so that a statistical description is appropriate to smooth out the small-scales and describe the “coarse-grained” dynamics. In a coarse-grained sense, the system is expected t...
متن کاملStatistical Mechanics of Dissipative Particle Dynamics
The stochastic differential equations corresponding to the updating algorithm of Dissipative Particle Dynamics (DPD), and the corresponding Fokker-Planck equation are derived. It is shown that a slight modification to the algorithm is required before the Gibbs distribution is recovered as the stationary solution to the Fokker-Planck equation. The temperature of the system is then directly relat...
متن کاملZeno Dynamics in Quantum Statistical Mechanics
We study the quantumZeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W -dynamical systems, in terms of the short-time behaviour of the dynamics. Examples of quantum spin systems show that this condition can be effectively applied to quantum statistical mechanical models. Further, we derive an expli...
متن کاملGeometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Springer 1 Introduction This book reports on an unconventional explanation of the origin of chaos in Hamiltonian dynamics and on a new theory of the origin of thermodynamic phase transitions. The mathematical concepts and methods used are borrowed from Riemannian geometry and from elementary differential topology, respectively. The new approach proposed also unveils deep connections between the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nature
سال: 1917
ISSN: 0028-0836,1476-4687
DOI: 10.1038/100326a0