High-pressure physics — the study of matter at static or dynamic pressures orders of magnitude above atmospheric (≳ 1 GPa, with laboratory diamond-anvil cells reaching multi-Mbar, and dynamic shock or laser experiments exceeding 10¹² Pa). …
high-pressure-physics
Isothermal compressibility: κ_T = -(1/V)·(∂V/∂P)_T; ideal gas κ_T = 1/P
The isothermal compressibility κ_T = -(1/V)·(∂V/∂P)_T is the fractional volume change per unit pressure change at fixed temperature — the…
Adiabatic compression: T·V^(γ-1) = const; γ=5/3 monatomic
An adiabatic (reversible, no heat flow) compression of an ideal gas follows the Poisson adiabat P·V^γ = const, equivalently T·V^(γ-1) =…
Isothermal work: W = −n·R·T·log(V_f/V_i)
For an ideal-gas isothermal process (T fixed, heat exchanged with reservoir), the work done ON the gas is W = −∫(V_i→V_f) P dV =…
Ideal-gas compressibility pins: κ_T=1/P; κ_T(2P)/κ_T(P)=1/2
Sympy-exact witness of the ideal-gas isothermal compressibility. Setup: κ_T = 1/P (derived from PV = nRT). Identity 1 (symbolic): κ_T =…
Adiabatic halving: T_f/T_i = 2^(2/3) for γ=5/3 monatomic
Sympy-exact witness of the monatomic adiabatic halving temperature ratio. Setup: T_f/T_i = (V_i/V_f)^(γ-1) (rearranged Poisson adiabat). …
Isothermal work halving: W(V_f=V_i/2) = n·R·T·log(2)
Sympy-exact witness of the isothermal halving-compression work. Setup: W = −n·R·T·log(V_f/V_i). Identity: at V_f = V_i/2, W =…