scholarly journals Competing orders in a frustrated Heisenberg model on the Fisher lattice

2020 ◽  
Vol 102 (22) ◽  
Author(s):  
Atanu Maity ◽  
Yasir Iqbal ◽  
Saptarshi Mandal
Author(s):  
S. G. Rajeev

Some exceptional situations in fluid mechanics can be modeled by equations that are analytically solvable. The most famous example is the Korteweg–de Vries (KdV) equation for shallow water waves in a channel. The exact soliton solution of this equation is derived. The Lax pair formalism for solving the general initial value problem is outlined. Two hamiltonian formalisms for the KdV equation (Fadeev–Zakharov and Magri) are explained. Then a short review of the geometry of curves (Frenet–Serret equations) is given. They are used to derive a remarkably simple equation for the propagation of a kink along a vortex filament. This equation of Hasimoto has surprising connections to the nonlinear Schrödinger equation and to the Heisenberg model of ferromagnetism. An exact soliton solution is found.


2021 ◽  
pp. 1-10
Author(s):  
Akai Murtazaev ◽  
Magomedzagir Badiev ◽  
Magomedsheykh Ramazanov ◽  
Magomed Magomedov

2011 ◽  
Vol 14 (3) ◽  
pp. 343-359 ◽  
Author(s):  
Søren Jagd

Different notions of multiple rationalities have recently been applied to describe the phenomena of co-existence of competing rationalities in organizations. These include institutional pluralism, institutional logics, competing rationalities and pluralistic contexts. The French pragmatic sociologists Luc Boltanski and Laurent Thévenot have contributed to this line of research with a sophisticated theoretical framework of orders of worth, which has been applied in an increasing number of empirical studies. This article explores how the order of worth framework has been applied to empirical studies of organizations. First, I summarize the basic ideas of the framework, stressing the aspects of special relevance for studies of organizations. Second, I review the empirical studies focusing on the coexistence of competing orders of worth in organizations showing that the order of worth framework primarily has been related to three main themes in organizational research: non-profit and co-operative organizations, inter-organizational co-operation, and organizational change. Third, I discuss how the pragmatic, process-oriented aspect of the research program, focusing on the intertwining of values and action in various forms of ‘justification work’, has been translated into empirical studies. I argue that even if highly interesting empirical studies have begun to appear on the pragmatic aspects of the order of worth program, empirical studies of ‘justification work’ may be a potentially very promising focus for future empirical studies.


2014 ◽  
Vol 58 ◽  
pp. 10-13 ◽  
Author(s):  
S. Tamura ◽  
H. Yokoyama

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