Change in order of phase transitions on fractal lattices
نویسندگان
چکیده
منابع مشابه
Change in order of phase transitions on fractal lattices
We reexamine a population model which exhibits a continuous absorbing phase transition belonging to directed percolation in 1D and a first-order transition in 2D and above. Studying the model on Sierpinski Carpets of varying fractal dimensions, we examine at what fractal dimension 1 ≤ d f ≤ 2, the change in order occurs. As well as commenting on the order of the transitions, we produce estimate...
متن کاملChaotic properties of spin lattices near second-order phase transitions.
We perform a numerical investigation of the Lyapunov spectra of chaotic dynamics in lattices of classical spins in the vicinity of second-order ferromagnetic and antiferromagnetic phase transitions. On the basis of this investigation, we identify a characteristic of the shape of the Lyapunov spectra, the "G-index," which exhibits a sharp peak as a function of temperature at the phase transition...
متن کاملQuantum Phase Transitions on Percolating Lattices
When a quantum many-particle system exists on a randomly diluted lattice, its intrinsic thermal and quantum fluctuations coexist with geometric fluctuations due to percolation. In this paper, we explore how the interplay of these fluctuations influences the phase transition at the percolation threshold. While it is well known that thermal fluctuations generically destroy long-range order on the...
متن کاملPhase Transitions on Random Lattices : How Random
Submitted for the MAR15 Meeting of The American Physical Society Phase Transitions on Random Lattices: How Random is Topological Disorder?1 HATEM BARGHATHI, THOMAS VOJTA, Missouri Univ of Sci & Tech — We study the effects of topological (connectivity) disorder on phase transitions. We identify a broad class of random lattices whose disorder fluctuations decay much faster with increasing length ...
متن کاملSecond Order Phase Transitions
summing the Boltzmann factor over all spin configurations {si}. The enumeration of all configurations cannot be done for d ≥ 3, and although possible in d = 2 is extremely hard there as well (a problem solved by Onsager). We will use an approximate solution technique known as mean field theory. Last term we solved the problem of noninteracting spins in a magnetic field described by the Hamilton...
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: 2009
ISSN: 0378-4371
DOI: 10.1016/j.physa.2009.04.008