exponential decay
Noun: A decrease in a quantity, such as a population, signal intensity, or radioactive material, where the rate of reduction at any moment is directly proportional to the current amount. This results in a characteristic rapid decline that gradually levels off, following the mathematical form of an exponential function.
The term "exponential decay" describes a specific, non-linear pattern of decrease. It is used in scientific, mathematical, and technical contexts. - The study measured the exponential decay of the drug's concentration in the bloodstream over time. - In physics, radioactive isotopes undergo exponential decay. - The sound from the bell showed exponential decay as it faded away.
- "to decay exponentially": The verbal form describing the process.
- The voltage across the capacitor will decay exponentially after the switch is opened.
- "decay constant/rate": A parameter (often denoted by lambda, λ) that quantifies the speed of the exponential decay.
- A larger decay constant means a faster process of exponential decay.
- Exponential growth (n): The inverse process, where a quantity increases at a rate proportional to its current value.
- Decay (n): A general term for a decrease or deterioration. "Exponential decay" is a specific type of decay.
- Half-life (n): A common concept associated with exponential decay, referring to the time required for a quantity to reduce to half its initial value.
- Logarithmic decay: A less common but sometimes used term in specific technical contexts, though it mathematically describes a different curve. In common technical parlance, "exponential decay" is the precise term.
(Note: "Exponential decay" itself functions as a noun phrase and is not typically part of phrasal verbs.) - Follow an exponential decay: To exhibit the pattern of exponential decay. - The neutron population was observed to follow an exponential decay.
- Law of decay: The principle stating that a quantity diminishes at a rate proportional to its value, leading to exponential decay.
- Exponential function (n): The mathematical function (e.g., y = e^{-λt}) that models both exponential decay and growth.
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a decrease that follows an exponential function
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