Crossover from first-order to second-order phase transitions in a symmetry-breaking field: Monte Carlo, high-temperature series, and renormalization-group calculations

1979 ◽  
Vol 19 (11) ◽  
pp. 5886-5901 ◽  
Author(s):  
S. J. Knak Jensen ◽  
O. G. Mouritsen ◽  
E. Kjaersgaard Hansen ◽  
Per Bak
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Phase Transitions ◽  
High Temperature ◽  
Symmetry Breaking ◽  
Second Order ◽  
Temperature Series ◽  
First Order

scholarly journals Lessons from topological superfluids: Safe and dangerous routes to antispacetime

2019 ◽  
Vol 50 (5-6) ◽  
pp. 34-37 ◽  
Author(s):  
V.B. Eltsov ◽  
J. Nissinen ◽  
G.E. Volovik
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Transition Rate ◽  
Topological Defects ◽  
Second Order ◽  
Exact Nature ◽  
Adiabatic Processes

All realistic second order phase transitions are undergone at finite transition rate and are therefore non-adiabatic. In symmetry-breaking phase transitions the non-adiabatic processes, as predicted by Kibble and Zurek [1, 2], lead to the formation of topological defects (the so-called Kibble-Zurek mechanism). The exact nature of the resultingdefects depends on the detailed symmetry-breaking pattern.

Magnetic properties of the mixed spin-5/2 and spin-3/2 Blume-Capel Ising system on the two-fold Cayley tree

Open Physics ◽  
2009 ◽  
Vol 7 (3) ◽  
Author(s):  
Rachidi Yessoufou ◽  
Saliou Amoussa ◽  
Felix Hontinfinde
Keyword(s):  
Magnetic Properties ◽  
Phase Transitions ◽  
Crystal Field ◽  
Cayley Tree ◽  
Second Order ◽  
Coordination Numbers ◽  
First Order ◽  
Mixed Spin ◽  
Second Order Transition ◽  
Zero Values

AbstractWe use exact recursion relations to study the magnetic properties of the half-integer mixed spin-5/2 and spin-3/2 Blume-Capel Ising ferromagnetic system on the two-fold Cayley tree that consists of two sublattices A and B. Two positive crystal-field interactions Δ1 and Δ2 are considered for the sublattice with spin-5/2 and spin-3/2 respectively. For different coordination numbers q of the Cayley tree sites, the phase diagrams of the model are presented with a special emphasis on the case q = 3, since other values of q reproduce similar results. First, the T = 0 phase diagram is illustrated in the (D A = Δ1/J,D B = Δ2/J) plane of reduced crystal-field interactions. This diagram shows triple points and coexistence lines between thermodynamically stable phases. Secondly, the thermal variation of the magnetization belonging to each sublattice for some coordination numbers q are investigated as well as the Helmoltz free energy of the system. First-order and second-order phase transitions are found. The second-order phase transitions become sharper and sharper when D A or D B increases. The first-order transitions only exist for some appropriate non-zero values of D A and/or D B. The corresponding transition lines never connect to the second-order transition lines. Thus, the non-existence of tricritical points remains one of the key features of the present model. The magnetic exponent β 0 of the model is estimated and found to be ¼ at small values of D A = D B = D and β 0 = ½ at large values of D. At intermediate values of D, there is a crossover region where the magnetic exponent displays interesting behaviours.

Sign in / Sign up

Export Citation Format

Share Document