Scientists from the University of Bayroit in Germany, a new form of symmetry in statistical mechanics, which can simplify the understanding of fundamental relationships in this area of physics. This discovery is associated with the so -called “hypercila” – a new concept that describes the connection between physical observed values.
The symmetry that underlies many physical theories allows us to distinguish properties that remain unchanged with certain transformations. This principle has become the basis for such concepts as the laws of preserving energy and impulse, the theory of relativity and quantum mechanics. Researchers have shown that their new symmetry is associated with transformations in the phase space that describes the positions and pulses of particles. As part of the study of statistical mechanics, it was possible to derive the exact dependencies between the local characteristics of the system, such as the density of particles and the forces acting on them.
Scientists’ work is based on the principles The Nyoter Theorem , according to which the preserved value corresponds to each continuous symmetry. In the context of statistical mechanics, open symmetry acts as a “calibration transformation” for micro -conditions, which makes it possible to identify new connections between the parameters of the system.
The methodology was checked using numerical experiments on the system of rigid rods in one -dimensional space. The study showed that the proposed symmetry is preserved even with the final transformations of the phase space, which opens the way for more effective calculations. The proposed approach can reduce the cost of modeling and reduce the carbon trace of calculations.
The results can be used in material science and molecular biology, where simulations based on statistical mechanics are already actively used. In the future, it is planned to expand research on the dynamic properties of systems, including processes outside of equilibrium, which will bring the approaches of statistical mechanics and quantum physics.