Invariance of the relativistic one-particle distribution function
نویسندگان
چکیده
منابع مشابه
Invariance of the relativistic one - particle distribution function
The one-particle distribution function is of importance both in non-relativistic and relativistic statistical physics. In the relativistic framework, Lorentz invariance is possibly its most fundamental property. The present article on the subject is a contrastive one : we review, discuss critically, and, when necessary, complete, the treatments found in the standard literature. PACS numbers: 03...
متن کاملOn one-to-one correspondence of Gibbs distribution and reduced two-particle distribution function
In this article it is shown that in an equilibrium classical canonical ensemble of molecules with two-body interaction and external field full Gibbs distribution can be uniquely expressed in terms of a reduced two-particle distribution function. This means that while a number of particles N and a volume V are fixed the reduced two-particle distribution function contains as much information abou...
متن کاملOne-particle density matrix and momentum distribution function of one-dimensional anyon gases
We present a systematic study of the Green functions of a onedimensional gas of impenetrable anyons. We show that the one-particle density matrix is the determinant of a Toeplitz matrix whose large N asymptotic is given by the Fisher-Hartwig conjecture. We provide a careful numerical analysis of this determinant for general values of the anyonic parameter, showing in full details the crossover ...
متن کاملExpansion Formulae of the Free Energy and Distribution Functions in Powers of the One Particle Distribution Function
A new method is proposed which enables one to convert the formulae for a uniform multi-component system to those for a non-uniform one. As an application of the method, the expansion formulae of. the free energy, potentials of average force and distribution functions for a non-uniform multi-component system are derived in a simple and systematic way. The formulae are obtained both for a continu...
متن کاملTransition in the Equilibrium Distribution Function of Relativistic Particles
We analyze a transition from single peaked to bimodal velocity distribution in a relativistic fluid under increasing temperature, in contrast with a non-relativistic gas, where only a monotonic broadening of the bell-shaped distribution is observed. Such transition results from the interplay between the raise in thermal energy and the constraint of maximum velocity imposed by the speed of light...
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: Physica A: Statistical Mechanics and its Applications
سال: 2001
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(01)00359-4