time evolution

[/taɪm ɛvəˈluːʃən/]
nounpl: time evolutions
evolução temporal
1. The change or development of a system over time; the process by which a system's state changes as time progresses
The time evolution of the quantum system was described by the Schrödinger equation.
A evolução temporal do sistema quântico foi descrita pela equação de Schrödinger.
2. In physics and mathematics, the mathematical description of how variables in a system transform or progress from an initial state to subsequent states
Scientists studied the time evolution of the chemical reaction to understand its kinetics.
Os cientistas estudaram a evolução temporal da reação química para compreender sua cinética.
3. The dynamic behavior or trajectory of a physical, biological, or computational system over a time interval
The time evolution of the population model showed exponential growth in the first decade.
A evolução temporal do modelo populacional mostrou crescimento exponencial na primeira década.
This is primarily technical and scientific terminology used in physics, mathematics, chemistry, and engineering. It is equally important in both Brazilian and American scientific communities, with no regional variations in meaning. The term is fundamental in quantum mechanics and dynamical systems theory, appearing frequently in graduate-level STEM education and research publications in both English and Portuguese-speaking countries.
Synonyms / Sinônimos
temporal evolutiondynamic evolutionprogression over timetime development
Antonyms / Antônimos
static stateequilibriumtime-independent state

Regional Variations

General Brazilian Portuguese
evolução temporal
Most common and standard usage in Brazilian scientific and academic contexts
General Portugal
evolução temporal
Identical usage in European Portuguese; standard in Portuguese scientific literature
Brazilian Academic/Technical
evolução no tempo
Alternative phrasing used in some technical contexts; slightly more emphatic about the time variable
Physics Education
dinâmica temporal
Sometimes used interchangeably in educational contexts to emphasize dynamic aspects

Related Words

dynamical systemSchrödinger equationstate spacedifferential equationtrajectoryphase spaceoperator evolution

Related Idioms & Phrases

track the time evolution
describe the time evolution
analyze the time evolution of a system
study how a system evolves over time
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