Proof of the exact correlation-length exponent $ν= \frac{\sqrt[3]{2}}{2}$ and algebraic relations for $β$ and $γ$ in the 3D Ising model

Based on our previous results regarding critical exponent estimates for the 3D Ising model and scaling relations [1], we have proven that the exact value of the correlation-length exponent is $\frac{\sqrt[3]{2}}{2}$ . This is in very close agreement with the most precise numerical estimates currently available. Using a group theoretical approach and some propositions of constructive geometry, we derived an exact construction of algebraic expressions for the critical exponents $γ$ and $β$ . We proved that these expressions depend solely on the exact value of $ν$ .

Proof of the exact correlation-length exponent $ν = \frac{\sqrt[3]{2}}{2}$ and algebraic relations for $β$ and $γ$ in the 3D Ising model

文献摘要

讨论

讲解博客

AI智能校验

Proof of the exact correlation-length exponent $ν = \frac{\sqrt[3]{2}}{2}$ and algebraic relations for $β$ and $γ$ in the 3D Ising model

文献摘要

讨论

讲解博客

AI智能校验

Proof of the exact correlation-length exponent ν=232ν=232​​ and algebraic relations for ββ and γγ in the 3D Ising model

文献摘要

讨论

|讲解博客

|AI智能校验

Proof of the exact correlation-length exponent ν=232ν=232​​ and algebraic relations for ββ and γγ in the 3D Ising model

文献摘要

讨论

|讲解博客

|AI智能校验

Proof of the exact correlation-length exponent $ν = \frac{\sqrt[3]{2}}{2}$ and algebraic relations for $β$ and $γ$ in the 3D Ising model

讲解博客

AI智能校验

Proof of the exact correlation-length exponent $ν = \frac{\sqrt[3]{2}}{2}$ and algebraic relations for $β$ and $γ$ in the 3D Ising model

讲解博客

AI智能校验