Showing 81 - 90 of 317
We discuss various ensembles of homogeneous complex networks and a Monte-Carlo method of generating graphs from these ensembles. The method is quite general and can be applied to simulate micro-canonical, canonical or grand-canonical ensembles for systems with various statistical weights. It can...
Persistent link: https://www.econbiz.de/10011061512
Colliding particles moving in one-dimensional space form clusters. When particles coalesce upon collisions, the velocity distribution of final clusters is 1/ν in the interval N−12 ⋘ν/σ⋘ 1, where σ is the initial rms velocity and N is the initial number of particles.
Persistent link: https://www.econbiz.de/10011061666
A special class of S=1 spin ladder Hamiltonians, with second-neighbor exchange interactions and with anisotropies in the z-direction, can be mapped onto one-dimensional composite S=2 (tetrahedral S=1) models. We calculate the high temperature expansion of the Helmoltz free energy for the latter...
Persistent link: https://www.econbiz.de/10011061917
In a recent work (J. Math. Phys. 43 (2002) 1390) we derived analytical expressions for the coefficients in the high temperature expansion of the Helmholtz free energy of periodic one-dimensional chains in the cumulant method, for arbitrary order in β. In order to do so, an auxiliary function...
Persistent link: https://www.econbiz.de/10011062193
We develop a generalized theory of (meta)equilibrium statistical mechanics in the thermodynamic limit valid for both smooth and fractal phase spaces. In the former case, our approach leads naturally to Boltzmann–Gibbs standard thermostatistics while, in the latter, Tsallis thermostatistics is...
Persistent link: https://www.econbiz.de/10011062235
We test the fluctuation theorem from measurements in turbulent flows. We study the time fluctuations of the force acting on an obstacle, and we consider two experimental situations: the case of a von Kármán swirling flow between counter-rotating disks and the case of a wind tunnel jet. We...
Persistent link: https://www.econbiz.de/10011062283
It was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise analytic functions is available (Vamoş et al., Physica A 227 (1996) 81). This article presents a rigorous derivation of an one-dimensional hydrodynamic model for...
Persistent link: https://www.econbiz.de/10011063280
Starting from the Liouville equation, we derive the exact hierarchy of equations satisfied by the reduced distribution functions of the single species point vortex gas in two dimensions. Considering an expansion of the solutions in powers of 1/N (where N is the number of vortices) in a proper...
Persistent link: https://www.econbiz.de/10011063701
The exact forms of the degenerate Maxwell–Boltzmann (MB), Bose–Einstein (BE) and Fermi–Dirac (FD) entropy functions, derived by Boltzmann's principle without the Stirling approximation [R.K. Niven, Physics Letters A, 342(4) (2005) 286], are further examined. Firstly, an apparent paradox in...
Persistent link: https://www.econbiz.de/10011063876
We study the growth of correlations in systems with weak long-range interactions. Starting from the BBGKY hierarchy, we determine the evolution of the two-body correlation function by using an expansion of the solutions of the hierarchy in powers of 1/N in a proper thermodynamic limit N→+∞,...
Persistent link: https://www.econbiz.de/10011064128