scholarly journals Statistical properties of linear Majorana fermions

2021 ◽  
Author(s):  
Francisco Cleiton Lima ◽  
Allan Moreira ◽  
Laura Machado ◽  
CARLOS ALBERTO ALMEIDA
Keyword(s):  
Thermodynamic Properties ◽  
Spinor Field ◽  
Shannon’S Entropy ◽  
External Potential ◽  
Majorana Fermion ◽  
Majorana Fermions ◽  
Linear Potential ◽  
Linear Type ◽  
Charge Conjugate ◽  
Shannon's Entropy

A Majorana fermion is the single fermionic particle that is its own antiparticle. Its dynamics is determined by the Majorana equation, where the spinor field is by definition equal to its charge-conjugate field. In this paper, we investigated Shannon’s entropy of linear Majorana fermions to understand how this quantity is modified due to an external potential of the linear type linear. Subsequently, we turn our attention to the construction of an ensemble of these Majorana particles to study the thermodynamic properties of the model. Finally, we show how Shannon’s entropy and thermodynamic properties are modified under the linear potential action. Keywords: Majorana Fermions; Thermodynamic properties; Shannon’s Entropy.

scholarly journals ASSESSMENT OF URBAN SPRAWL USING SHANNON’S ENTROPY AND FRACTAL ANALYSIS: A CASE STUDY OF ATAKUM, ILKADIM AND CANIK (SAMSUN, TURKEY)

2017 ◽  
Vol 25 (3) ◽  
pp. 264-276 ◽  
Author(s):  
Derya OZTURK
Keyword(s):  
Urban Sprawl ◽  
Fractal Analysis ◽  
Urban Form ◽  
Entropy Method ◽  
Shannon’S Entropy ◽  
Analysis Method ◽  
Maximum Likelihood Classification ◽  
Shannon's Entropy ◽  
Box Counting

Urban sprawl is one of the most important problems in urban development due to its negative environmental and societal impacts. Therefore, the spatial pattern of urban growth should be accurately analyzed and well understood for effective urban planning. This paper focuses on urban sprawl analysis in the Atakum, Ilkadim and Canik districts of Samsun, Turkey. In this study, urban sprawl was examined over a period of 24 years using Shannon's entropy and fractal analysis based on remote sensing and Geographic Information System (GIS). The built-up areas in 1989, 2000 and 2013 were extracted from Landsat TM/ETM+/OLI images using the maximum likelihood classification method, and urban form changes in the 1989–2013 period were investigated. The Shannon's entropy method was used to determine the degree of urban sprawl, and a fractal analysis method based on box counting was used to characterize the urban sprawl. The results show that Atakum, Ilkadim and Canik experienced important changes and have considerable sprawl and complex characteristics now. The study also revealed that there is no monotonic relationship between Shannon's entropy and fractal dimension.

Durational contrast in gemination and informativity

2018 ◽  
Vol 4 (s2) ◽  
Author(s):  
Shin-Ichiro Sano
Keyword(s):  
Shannon’S Entropy ◽  
Minimal Pair ◽  
Shannon's Entropy ◽  
Linguistic Behavior ◽  
Manner Of Articulation

AbstractRecent studies in Message Oriented Phonology (MOP) have provided increasing evidence that informativity plays a non-trivial role in linguistic behavior. This paper provides a case study of MOP focusing on the durational contrast of singleton and geminate consonants in spoken Japanese. In modern Japanese, short consonants (singletons) and long consonants (geminates) are lexically contrastive, and the durational properties of these consonants are affected by a variety of factors. This provides a useful test of the assumptions of MOP. Based on the assumption that the higher the informativity, the more robustly the contrast is phonetically implemented, this study examines the hypothesis that the durations of singletons and geminates increase or decrease according to the informativity of their durational contrast. The study confirms that (i) the distribution of singletons and geminates is affected by the manner of articulation and positional differences (morpheme-initial, medial, and final); (ii) the distributional differences follow from the informativity of contrasts as represented by Shannon’s entropy; and (iii) the durational contrast is enhanced by the presence or absence of a minimal pair.

scholarly journals Ranking and selecting the best performance appraisal method using the MULTIMOORA approach integrated Shannon’s entropy

2018 ◽  
Vol 12 (1) ◽  
Author(s):  
Abteen Ijadi Maghsoodi ◽  
Gelayol Abouhamzeh ◽  
Mohammad Khalilzadeh ◽  
Edmundas Kazimieras Zavadskas
Keyword(s):  
Performance Appraisal ◽  
Shannon’S Entropy ◽  
Shannon's Entropy ◽  
Appraisal Method
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