论文标题
相互作用的相互作用期间的结构形成
Structure formation during phase transitions in strongly interacting matter
论文作者
论文摘要
综述了与粒子之间强烈相互作用和结构形成的系统相互作用的相关的相关问题的广泛问题。构建了一个通用现象学平均模型，描述了第一个订单的相变和$ k_0 = 0 $和$ \ vec {k} _0 _0 \ neq 0 $状态的相变。由于波动，到状态$ \ vec {k} _0 \ neq 0 $的相过渡是第一阶的过渡。认为相位过渡到状态的各种特定特征$ \ vec {k} _0 \ neq 0 $都被认为是激发的各向异性谱，可能形成各种结构，包括跑步和站立波，三轴结构，三轴结构，脊髓波，pasta eppases，pasta eppases等。然后将重点放在以$ \ vec {k} _0 = 0 $和$ \ vec {k} _0 \ neq 0 $的情况下，将订单参数的动力学描述到订单参数的动力学。接下来，进行了核系统中液态气体类型的相变的非理想水动力学描述。开发了准膜结构。 Next, pion condensation phase transition to the $\vec{k}_0\neq 0$ state in dense, cold or warm nuclear matter is considered and then the high temperature -- small baryon chemical potential system is studied, when baryons become completely blurred and light bosons, e.g., pions, may condense either in $\vec{k}_0= 0$ or $ \ vec {k} _0 \ neq 0 $状态。然后，对于$ \ vec {k} _0 = 0 $或$ \ vec {k} _0 \ neq 0 $ state of $ \ vec {k} _0 = 0 $或$ \ vec {k} _0 = 0 $ neq 0 $ state的标量集体模式现象。接下来，考虑了$ \ vec {k} _0 \ neq 0 $状态在移动媒体中的bose激发的可能性。然后研究了在动态固定数量的颗粒处的Bose-Einstein凝结，并在一个示例中证明了特定的非平衡效应。
A broad range of problems associated with phase transitions in systems characterized by the strong interaction between particles and with formation of structures is reviewed. A general phenomenological mean-field model is constructed describing phase transitions of the first and the second order to the $k_0=0$ and $\vec{k}_0\neq 0$ states. Due to fluctuations, the phase transition to the state $\vec{k}_0\neq 0$ is the transition of the first order. Various specific features of the phase transitions to the state $\vec{k}_0\neq 0$ are considered such as the anisotropic spectrum of excitations, a possibility of the formation of various structures including running and standing waves, three-axis structures, chiral waves, pasta phases, etc. A formal transition to hydrodynamical variables is performed. Then focus is made on description of the dynamics of the order parameter at the phase transitions to the states with $\vec{k}_0= 0$ and $\vec{k}_0\neq 0$. Next the non-ideal hydrodynamical description of the phase transitions of the liquid-gas type in nuclear systems is performed. Quasiperiodic structures are developed. Next, pion condensation phase transition to the $\vec{k}_0\neq 0$ state in dense, cold or warm nuclear matter is considered and then the high temperature -- small baryon chemical potential system is studied, when baryons become completely blurred and light bosons, e.g., pions, may condense either in $\vec{k}_0= 0$ or $\vec{k}_0\neq 0$ states. Then, for scalar collective modes phenomena of the Pomeranchuk instability and the Bose condensation in $\vec{k}_0= 0$ or $\vec{k}_0\neq 0$ states are studied. Next, possibility of the condensation of Bose excitations in the $\vec{k}_0\neq 0$ state in moving media is considered. Then Bose-Einstein condensation of pions at dynamically fixed number of particles is studied and specific non-equilibrium effects are demonstrated on an example.
