
A system's dependence on its history, where the path to a state differs from the path away from it.Hysteresis is the phenomenon where the state of a system depends not only on its current conditions but also on its history. In other words, the path taken to reach a certain state matters, and the system does not return to its original state when the external influence is reversed. This is commonly observed in ferromagnetic materials, where the magnetization lags behind the applied magnetic field, but it also appears in elastic materials, thermal systems, and even economics. Hysteresis implies that energy is lost in a cycle, often as heat, and it is a key concept in understanding memory effects in materials.
The term 'hysteresis' was coined in 1881 by the Scottish physicist James Alfred Ewing, who studied the magnetic properties of iron and other materials.
Hysteresis arises from the presence of multiple stable states or from internal friction. In a ferromagnet, for example, the alignment of magnetic domains does not perfectly follow the external field because domain walls get pinned by defects or impurities. When the field is reversed, the domains resist changing direction until the field is strong enough to overcome the pinning, leading to a lag. This results in a characteristic loop when the output is plotted against the input.
Hysteresis is exploited in hysteresis motors, in the design of magnetic memory devices, and in thermostats where a small temperature difference is needed to switch on and off, preventing rapid cycling.
The word 'hysteresis' comes from the Greek word 'hysteresis', meaning 'deficiency' or 'lagging behind', which perfectly describes the delayed response of the system.



