Fat Fisher Zeroes

We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar (``fat'') phi4 random graphs and their dual quadrangulations by matching up the real part of the high and low temperature branches of the expression for the free energy. The form of this expression for the free energy also means that series expansion results for the zeroes may be obtained with rather less effort than might appear necessary at first sight by simply reverting the series expansion of a function g(z) which appears in the solution and taking a logarithm. Unlike regular 2D lattices where numerous unphysical critical points exist with non-standard exponents, the Ising model on planar phi4 graphs displays only the physical transition at c = exp (- 2 beta) = 1/4 and a mirror transition at c=-1/4 both with KPZ/DDK exponents (alpha = -1, beta = 1/2, gamma = 2). The relation between the phi4 locus and that of the dual quadrangulations is akin to that between the (regular) triangular and honeycomb lattices since there is no self-duality.Comment: 12 pages + 6 eps figure

The effect of focal ankle cooling on spinal reflex activity in individuals with chronic ankle instability

Evidence indicates focally cooling the ankle joint increases sole-us spinal reflex activity in healthy individuals. This response has not been confirmed in individuals with a history of joint pathology. This study used repeated measures to identify the effects of focal ankle cooling on soleus Hoffmann reflex and muscle response in individuals with chronic ankle instability (CAI). This study included 24 college-aged volunteers (12 with chronic ankle instability, 12 with no history of ankle injury). An ice bag was applied to the ankle joint for 30 minutes as an intervention. Maximal soleus Hoffmann reflex and maximal muscle response ratio (Hmax:Mmax) was recorded prior to and following each session. The soleus Hmax:Mmax (P \u3c .05) increased following the ankle ice bag application in both groups. No differences were detected between groups (P \u3e .05). This observation of facilitation in the soleus motoneuron pool after ankle ice application in individuals with CAI and healthy ankles indicates CAI does not influence motoneuron recruitment following cryotherapy

Ice Application Effects on Peroneus and Tibialis Anterior Motoneuron Excitability in Subjects with Functional Ankle Instability

Evidence that focally cooling the ankle joint facilitates soleus and peroneus longus spinal reflex activity in healthy subjects has been reported. This response has been confirmed in individuals with a history of joint pathology for the soleus but not in the peroneus longus and tibialis anterior. The purpose of this study was to identify the effects of ankle cooling on isokinetic eversion and inversion torque and in peroneus longus, tibialis anterior H-reflex (H(max):M(max)) in subjects with functional ankle instability (FAI). Twenty-four college aged subjects volunteered for this study. Peroneus longus and tibialis anterior H(max):M(max), and concentric eversion and inversion torque were recorded prior to and following each session. This protocol was used to compare FAI to healthy ankle group. There were no significant differences between groups. There were weak and no significant relationships between the corresponding muscles motoneuron excitability and their peak torque measurements. Ice application to the joint did not alter the peroneus longus or the tibialis anterior