By S. Rahvar, N. Sadooghi

ISBN-10: 9812563342

ISBN-13: 9789812563347

When you consider that 1984, a sequence of nearby meetings on mathematical physics has been equipped through physicists from Iran, Pakistan and Turkey to advertise the examine in mathematical and theoretical physics within the area. This quantity, which derives from the XI nearby convention on Mathematical Physics, includes eight evaluation and forty four examine articles at the most vital subject matters in mathematical and theoretical physics reminiscent of astrophysics and cosmology, conformal box conception, excessive strength physics, normal relativity and plasma physics. The evaluate articles are complete and self-contained and record at the most crucial advancements within the corresponding matters. every one evaluate article offers a whole record of references, that is specially worthy for graduate scholars who're simply beginning their learn actions; even formidable undergraduates in physics can use those evaluate papers as valuable historical past fabric to head extra into the topic and discover the learn literature. they're contributed by way of renowned senior scientists: M Moniez (Laboratoire de l'Accelerateur Lineare, France) and V Sahni (Inter-University Centre for Astronomy and Astrophysics (IUCAA), India) in Astrophysics and Cosmology, W Nahm (Dublin Institute for complex stories (DIAS), eire) in Conformal box conception, J Lukierski (University of Wroclaw, Poland) in Mathematical Physics, Riazuddin and Fayyazuddin (Quaid-i-Azam collage, Pakistan) in excessive strength Physics, N Dadhich (Inter-University Centre for Astronomy and Astrophysics (IUCAA), India) and A Qadir (National college of technology and know-how, Pakistan) as a rule Relativity, and N Tsintsadze (Tbilisi nation collage, Georgia) in Plasma Physics.

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**Example text**

The results received within the Hubbard-Sham model screening with selected parameters of the charge distribution around each particular ion coincide with the results received from the Density Functional Theory. aDue to a number of interesting physical properties associated with the strong anisotropy of crystal structure, the layered semiconductor compounds GeSe attracts increased attention. The presence of weak interlayer bonds causes interest to carrying out intensive researches on photoelectric and optical properties of this crystal.

The reaction rules are specifically as follows 0 + A + A + 0 with rate 4, A + 0 + 0 + A with rate q - l , A + A -+ A + 0 with rate 4, + + A + A + 0 A with rate q-l, 0 + A --+ A + A with rate Aq, A + 0 --+ A A with rate Aq-l, particles on the chain is a conserved quantity. This model has already been studied in grand canonical ensemble using the Empty Interval Method (EIM) in Ref. In this formalism the physical quantities such as the density of particles are calculated from the probabilities t o find empty intervals of arbitrary length.

A natural question that might arise is whether or not we can see the shocks in our branching-coalescing model defined by (1) with the reflecting boundaries. To answer this question, we will study the model with reflecting boundaries in a canonical ensemble where the number of particles on the chain is equal to M , so that the density of particles p = remains constant. We will then investigate the phase transitions and the density profile of particles on the chain. Recently, it has been shown that the classical YangLee theory4 can be applied to the one-dimensional out-of-equilibrium systems in order to study the possible phase transitions of these model^^^^^^^^.

### Mathematical Physics by S. Rahvar, N. Sadooghi

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