Reaction Diffusion

Terms: Reaction Diffusion (155,000), reaction diffusion equations (36,300), diffusion equation (165,000),

Terms: reaction diffusion textures (438), reaction diffusion patterns (554), travelling waves (45,200), standing waves (307,000),

Terms: solitons (309,000), soliton equations (5,470), soliton (275,000), soliton solutions (15,700), nonlinear schrodinger equation (10,100), sine-Gordon equation (9,410), Korteweg de Vries Equation (12,100), kdv equation (21,700),

Schrodinger equations

Terms: magneto ionic (639), refractive index (1,060,000), ionized media (743), plasma waves (172,000), plasma frequency (49,200), ionosphere (815,000), magnetosphere (617,000),

Magneto-ionic Theory and the Appleton-Hartree Equation - thesis

Terms: schrodinger map equation (56), wave maps equation (99), Maxwell-Klein Gordon (239), Maxwell-Schrodinger (109), Hartree equation (531),

Solitons - each soliton is made up of an electron surrounded by phonons, particles of vibrational energy.  The electron inside a soliton can attain different energy states.

Terms: competition between species (5,220), competition between populations (272), Fisher's equation (1,040), FitzHugh Nagumo equation (434), cellular automata (548,000),

Boolean: species AND competition AND (equation OR equations) (502,000), solitons AND solutions AND equation (70,000),

Wikipedia - Chemical reaction, Reaction Diffusion, Heat equation, Schrödinger equation, Diffusion equation,

The Particle diffusion equation (heat equation) is related to the single particle Schrödinger equation in the absence of an applied force field:  

 c_t = D \Delta c, \quad

\psi_t = \frac{i \hbar}{2m} \Delta \psi

c(\vec R,t)?\psi(\vec R,t)  and  D~?\frac{i \hbar}{2m} .

? is the wavefunction of the particle.
c is the volumetric concentration of particles

Terms: chemical kinetics (289,000), activation energy (396,000), hopping energy (461), heat diffusion (36,000), heat equation (126,000), particle diffusion (12,000), brownian motion (532,000), nonlinear diffusion equation (1,530),