Harmonic oscillator Brownian motion: Langevin approach revisited

The original strategy applied by Langevin to Brownian movement problem is used to solve the case of a free particle under a harmonic potential. Such straightforward strategy consists in separating the noise termin the Langevin equation in order to solve a deterministic equation associated with the Mean Square Displacement (MSD). In this work, to achieve our goal we first calculate the variance for the stochastic harmonic oscillator and then the MSD appears immediately. We study the problem in the damped and lightly damped cases and show that, for times greater than the relaxation time, Langevin's original strategy is quite consistent with the exact theoretical solutions reported by Chandrasekhar and Lemons, these latter obtained using the statistical properties of a Gaussian white noise. Our results for the MSDs are compared with the exact theoretical solutions as well as with the numerical simulation.

Chronic form of Pisa syndrome after prolonged exposure to low-dose amisulpride treatment

Pisa syndrome is a movement problem defined by tonic, sustained lateral flexion with a slight posterior rotation of the trunk. It seems to be a side effect of antipsychotic medicine in most cases. The clinical duration of Pisa syndrome can be acute, chronic, or recurrent. As far as we know, no reports are available in the literature on the chronic form of Pisa syndrome caused by low-dose amisulpride. A case of refractory tardive dystonia form of Pisa syndrome during treatment with stable low-dose amisulpride is presented in this report. Long-term, low-dosage amisulpride therapy may induce tardive dystonia even in patients with no other risk factors for dystonia.

Discontinuous finite volume element method of two-dimensional unsaturated soil water movement problem

In this paper, a numerical approximation method for the two-dimensional unsaturated soil water movement problem is established by using the discontinuous finite volume method. We prove the optimal error estimate for the fully discrete format. Finally, the reliability of the method is verified by numerical experiments. This method is not only simple to calculate, but also stable and reliable.

Penerapan Model Movement Problem Based Learning Soccer Like Games

Penelitian ini bertujuan untuk meneliti keterampilan bermain siswa melalui penerapan model movement problem based learning dalam soccer like games. Metode penelitian yang digunakan melalui metode Penelitian Tindakan Kelas, Tempat penelitian di Sekolah Dasar Negri Tagog dengan objek penelitian siswa kelas IV berjumlah 25 orang. Proses penelitian dibagi menjadi II siklus, setiap siklus terdiri dari 2 tindakan. Setiap tindakan menggunakan berbagai tugas gerak yang dikemas dalam bentuk permainan. Data dikumpulkan dengan menggunakan instrumen GPAI. Kemudian semua data yang terkumpul dianalisis menggunakan teknik persentase. Nilai rata-rata keseluruhan data awal adalah 59% dan siklus I tindakan I adalah 66%, siklus I tindakan II adalah 68%, siklus II tindakan I adalah 72%, dan siklus II tindakan II adalah 76%. Dari rata-rata aspek keterampilan bermain berdasarkan hasil analisis data, diperoleh kesimpulan bahwa melalui penerapan model movement problem based learning dapat meningkatkan keterampilan bermain siswa dalam pembelajaran soccer like games. Sebagai saran dari hasil penelitian, dalam pemberian materi pembelajaran soccer like games, hendaknya diberikan berbagai tugas gerak yang dikemas dalam bentuk permainan