Some properties of the structure factorS(q) in two-dimensional classical liquids near freezing

Theoretical Investigation of Thermodynamical and Structural Properties of 3d Liquid Transition Metals Using Different Reference Systems

“…But, here we have used three different reference systems [37][38][39][40][41][42][43][44], and Charged Hard Sphere (CHS) [29,30,[45][46][47][48]. Our present results for thermodynamical properties are improved compared to our previous attempt [60].…”

“…Compare to simple liquid metals only a few attempts are made on liquid transition metals [2-10, 50, 55-58]. Therefore, the present paper deals with the computation of thermodynamical and structural properties like internal energy (E), entropy (S), Helmholtz free energy (F), isothermal compressibility (χ T ), specific heat (C V ), structure factor S(q), and long wave length limit of structure factor S(0) of 3d liquid transition metals using our newly constructed parameter free model potential [43,59,60] with different reference systems like Percus-Yevick Hard Sphere (PYHS) [23,[29][30][31][32][33][34][35][36][37][38], One Component Plasma (OCP) [37][38][39][40][41][42][43][44], and Charged Hard Sphere (CHS) [29,30,[45][46][47][48] systems.…”

“…Ideally the basis for choosing the best reference system is that one expects it to give the lowest free energy and the expressions required for the thermodynamic and structure can be expressed possibly in an analytic form. People have applied popular reference system like Percus-Yevick Hard Sphere (PYHS) [23,[29][30][31][32][33][34][35][36][37][38], One Component Plasma (OCP) [37][38][39][40][41][42][43][44], Charged Hard Sphere (CHS) [29,30,[45][46][47][48], Hard Sphere Yukawa (HSY) [49,50], Optimized Random Phase Approximation (ORPA) [24], and Soft Sphere (SS) systems [23].…”

Atomic Transport Properties of 3D Liquid Transition Metals Using Different Reference Systems

“…By implementing this idea we have constructed a new model potential [13][14][15][16][17][18] which is modified version of the Ashcroft's empty core model [19]. To describe the structural information we have adopted here three reference systems like Percus-Yevick Hard Sphere [13][14][15][16][17]20] (PYHS), One Component Plasma [18,[21][22][23] (OCP) and Charged Hard Sphere [23][24][25] (CHS) reference systems. The purpose of the present paper is not only to calculate atomic transport properties like shear viscosity coefficient (η) and selfdiffusion coefficient (D), but also to see the influence of various local-field correction functions in the screening alongwith the newly constructed model potential [13][14][15][16][17][18].…”

Theoretical Investigation of Atomic Transport Properties of 4d Transition Metals in Liquid Phase

“…Here x = q r i and y = q r a . Z, e, Ω, q, r i and r a are the valency, electronic charge, atomic volume, wave vector, ionic radius and atomic radius respectively To describe the structural information we have adopted here three reference systems like Percus-Yevick Hard Sphere [21][22][23][24][25]28] (PYHS), One Component Plasma [26,[29][30][31] (OCP) and Charged Hard Sphere [31][32][33] (CHS) reference systems. The choice of the model potential form factor is certainly an important factor in the study of metallic properties and its actual form is much more sensitive to the choice of dielectric function of the electron gas.…”