Gibbs entropy formula

Gibbs entropy formula expresses the level of disorder or uncertainty in a system by considering all possible states it can occupy and how likely each is. Mathematically, it sums the probability of each state multiplied by the logarithm of that probability, then takes the negative of this sum. In essence, higher entropy indicates more unpredictability and a greater number of configurations, while lower entropy signifies more order and fewer possibilities. This concept helps us understand the distribution of particles or states in thermodynamic systems, linking probability with the system’s overall disorder.