Particle energization through time-periodic helical magnetic fields

We solve for the motion of charged particles in a helical time-periodic ABC (Arnold-Beltrami-Childress) magnetic field. The magnetic field lines of a stationary ABC field with coefficients $A=B=C=1$ are chaotic, and we show that the motion of a charged particle in such a field is also chaotic at late times with positive Lyapunov exponent. We further show that in time-periodic ABC fields, the kinetic energy of a charged particle can increase indefinitely with time. At late times the mean kinetic energy grows as a power law in time with an exponent that approaches unity. For an initial distribution of particles, whose kinetic energy is uniformly distributed within some interval, the PDF of kinetic energy is, at late times, close to a Gaussian but with steeper tails.Comment: uses Revtex 4 instead of Revtex 4-

A cross-sectional study of pain severity in patients suffering from different types of primary headache in the hospital setting

Background: Primary headache disorders including migraine and tension-type headache (TTH) are of great importance to global public health due to its high prevalence, but very few studies have been conducted to know its prevalence and pain severity of different types of primary headache. Aim of this study was to investigate the subtypes and pain severity of different types of primary headache in hospital setting.Methods: This study is a cross-sectional study with 200 sample size. Includes patients with Primary headache in department of Psychiatry, MGMMC, Indore. Patient aged between 18-65 years, both gender. Diagnosis of headache was done clinically in accordance with International Classification of Headache disorders (ICHD- 3). Semi-structured headache questionnaire, Comparative pain scale were used for assessment of samples.Results: Among 200 patients, Tension type headache was 73.5%, Migraine was 22%, Mixed headache was in 4.5% patients. Majority of migraine and mixed headache cases had severe pain at 93.2% & 55.6% respectively. Majority of TTH cases had moderate pain in 42.2% patients.Conclusions: Study has shown assessments of severity of pain, can be used to assess the impact of Primary headache on patient’s quality of life