Definitions
- Describing a system that explores all possible states with equal probability over time. - Referring to a process that is random and unpredictable, but still follows certain statistical laws. - Talking about a phenomenon that exhibits a high degree of disorder or randomness.
- Referring to a system that follows a set of rules or laws that determine its behavior. - Describing a process that is predictable and can be modeled mathematically. - Talking about a phenomenon that exhibits a high degree of order or regularity.
List of Similarities
- 1Both words are used to describe systems or processes.
- 2Both words are used in mathematics and physics.
- 3Both words are used to describe the behavior of a system over time.
What is the difference?
- 1Probability: Ergodic systems have equal probability of exploring all possible states, while deterministic systems follow a set of rules or laws that determine their behavior.
- 2Predictability: Deterministic systems are predictable and can be modeled mathematically, while ergodic systems are random and unpredictable, but still follow certain statistical laws.
- 3Order: Deterministic systems exhibit a high degree of order or regularity, while ergodic systems exhibit a high degree of disorder or randomness.
- 4Nature: Ergodic is a statistical concept, while deterministic is a mathematical concept.
- 5Usage: Ergodic is more commonly used in statistical mechanics and probability theory, while deterministic is more commonly used in physics and mathematics.
Remember this!
Ergodic and deterministic are two words used to describe the behavior of systems or processes over time. The difference between them lies in their probability, predictability, order, nature, and usage. Ergodic systems are random and unpredictable, but still follow certain statistical laws, while deterministic systems follow a set of rules or laws that determine their behavior and are predictable and can be modeled mathematically.
