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Mathematical & Computational Physics

Stokes' Theorem

A fundamental vector calculus theorem relating the surface integral of the curl of a vector field over an open surface S to the line…

∮_(∂S) F · dr = ∬_S (∇ × F) · dA Vector Line/Surface Integral Equality
Geophysics & Environmental Physics

Stratosphere

The second major layer of Earth's atmosphere, extending from the tropopause (~12 km) up to the stratopause (~50 km), containing the…

dT / dz > 0 (Temperature Inversion via O₃ Absorption) km (Altitude ~12 to 50 km)
Nuclear & Particle Physics

Strong Nuclear Force

The powerful fundamental interaction that binds quarks together into hadrons and holds protons and neutrons together inside the atomic…

F_strong ≫ F_EM (Range r ≤ 1–3 fm) N (Newtons)
Thermodynamics & Statistical Physics

Sublimation

The direct phase transition of a substance from solid to gas state without passing through an intermediate liquid phase.

ΔH_sub = ΔH_fus + ΔH_vap J/kg or J/mol
Condensed Matter & Materials Physics

Superalloys

High-performance metallic alloys engineered to maintain exceptional mechanical strength, creep resistance, and oxidation resistance at high…

γ' Phase Precipitation: Ni₃(Al, Ti) High Temperature Strength (MPa at >800 °C)
Condensed Matter & Materials Physics

Superconductivity

A macroscopic quantum state of matter where certain materials exhibit exactly zero electrical DC resistance and complete expulsion of…

R = 0 (for T < T_c), B = 0 (Meissner expulsion) K (Critical Temperature T_c)
Condensed Matter & Materials Physics

Superfluidity

A macroscopic quantum state of matter where a fluid flows with exactly zero viscosity and zero kinetic entropy.

Viscosity η = 0 (Below Lambda point T_λ = 2.17 K) K (Lambda Transition Temperature)
Astrophysics, Cosmology & Relativity

Supernova

A catastrophic stellar explosion marking the death of a star, briefly outshining an entire galaxy and dispersing heavy elements into space.

Type Ia: M = M_Ch; Type II: Core Collapse M > 8 M_☉ 10⁴⁴ Joules (Energy Output)
Condensed Matter & Materials Physics

Surface Energy

The excess thermodynamic energy at the surface of a material relative to its interior bulk, caused by disrupted, incomplete atomic bonds.

γ = dW / dA J/m² or N/m
Nuclear & Particle Physics

Synchrotron

A large ring-shaped particle accelerator in which guiding magnetic fields and accelerating RF electric fields increase synchronously as…

B(t) ∝ p(t), RF Frequency Synchronized to Beam Speed GeV or TeV (Beam Energy)
Foundations of Physics

Systematic Error

A consistent, repeatable error in experimental measurements that skews data in the same direction from the true value.

Offset = Mean Measured - True Value Various
Nuclear & Particle Physics

Tau Lepton

The third-generation elementary charged lepton, with a mass approximately 3,477 times heavier than an electron.

m_τ ≈ 1776.8 MeV/c², τ_τ ≈ 2.9 × 10⁻¹³ s, Spin = ½ MeV/c² (Mass Energy)
Mathematical & Computational Physics

Taylor Series

An infinite polynomial series representation of a smooth function expressed in terms of its higher-order derivatives evaluated at a single…

f(x) = ∑_(n=0)^(∞) (f^(n)(a) / n!) (x - a)^n Infinite Polynomial Expansion
Thermodynamics & Statistical Physics

Temperature

A macroscopic scalar measure of the average translational kinetic energy of constituent particles in a physical system.

1 / T = (∂S / ∂U)_V, E_avg = (3/2) kB T K (°C, °F)
Classical Mechanics

Tension

The pulling force transmitted axially through a string, rope, cable, or structural member.

T = m g + m a N
Mathematical & Computational Physics

Tensor

A multilinear geometric object describing linear relationships between algebraic vectors, tensors, and scalars independent of coordinate…

T'^ij = (∂x'^i / ∂x^k) (∂x'^j / ∂x^l) T^kl Geometric Multilinear Object
Classical Mechanics

Terminal Velocity

The constant maximum speed attained by a falling body when upward aerodynamic drag equals downward gravitational force.

v_t = √(2 m g / (ρ A Cd)) m/s
Optics

Terrestrial Telescope

A refracting telescope incorporating an additional erecting lens system between objective and eyepiece to yield an upright image for ground…

M = f_obj / f_eye, Tube Length L = f_obj + 4 f_erect + f_eye Dimensionless (×)
Thermodynamics & Statistical Physics

Thermal Conduction

The transfer of thermal energy through a stationary medium via microscopic particle collisions and free electron movement without bulk…

q = -k A (dT/dx) (Fourier's Law) W/m² (k in W/(m·K))
Thermodynamics & Statistical Physics

Thermal Convection

The transfer of heat energy between a solid surface and an adjacent moving fluid, driven by bulk fluid motion.

q = h A (T_surface - T_fluid) (Newton's Law of Cooling) W (h in W/(m²·K))
Thermodynamics & Statistical Physics

Thermal Efficiency

The dimensionless ratio of net mechanical work produced by a heat engine to total thermal energy input supplied.

η = W_net / Q_input = 1 - (Q_out / Q_in) Dimensionless (%)
Thermodynamics & Statistical Physics

Thermal Radiation

The emission of electromagnetic energy from matter due to thermal agitation of its charged constituent particles.

P = ε σ A T⁴ (Stefan-Boltzmann Law) W
Thermodynamics & Statistical Physics

Thermal Stress

Mechanical stress developed within a material when thermal expansion or contraction is constrained by rigid boundaries.

σ = E α ΔT Pa (N/m²)
Plasma Physics

Thermal vs Non-Thermal Plasmas

The classification of plasmas based on thermodynamic equilibrium between electron temperature T_e and heavy ion/gas temperature T_i.

Thermal: T_e ≈ T_i ≈ T_gas; Non-Thermal: T_e ≫ T_i ≈ T_gas Kelvin or eV