6 papers
Heat transfer problem of a dense gas described by the Enskog equation with a modification of the Enskog factor
Shigeru Takata, Soma Sakata, Masanari Hattori
Heat transfer in a dense gas between two parallel plates is studied for assessing the quantitative difference of two variants of the Enskog equation, i.e., the original Enskog equa…
Local H theorem for Enskog and Enskog-Vlasov equations with a modified Enskog factor
Aoto Takahashi, Shigeru Takata
The local H theorem is shown to hold for the Enskog equation with a modified Enskog factor proposed by the authors [Phys. Rev. E 111, 065108 (2025)]. This is a stronger statement t…
Numerical study of the free energy monotonicity for the Enskog equation: The thermal relaxation of the dense gas between two parallel plates
Shigeru Takata, Soma Sakata, Aoto Takahashi +1
The thermal relaxation problem between two parallel plates with the same temperature is investigated, aiming to study the behavior of the free energy of the dense gas described by…
Fluid-dynamic limit of the Enskog equation with the guaranteed H-theorem
Aoto Takahashi, Shigeru Takata
The fluid-dynamic limit of the Enskog equation with a slight modification is discussed on the basis of the Chapman-Enskog method. This modified version of the Enskog equation has b…
Enskog and Enskog-Vlasov equations with a slightly modified correlation factor and their H theorem
Shigeru Takata, Aoto Takahashi
A novel modification of the original Enskog equation is proposed. The modification is much simpler than that is made in the modified (or revised) Enskog equation proposed by van Be…
Note on the summational invariant and corresponding local Maxwellian for the Enskog equation
Shigeru Takata, Aoto Takahashi
The summational invariant and the corresponding local Maxwellian that are compatible with the Enskog equation are discussed, with special interest in the presence of a boundary. Th…