Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness
Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness
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无界自旋连续粒子系统的吉布斯态：存在性和唯一性
DOI：
10.1063/1.5021464
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发表时间：
2018
影响因子：
1.3
通讯作者：
Tanja Pasurek
中科院分区：
文献类型：
--
作者：
Diana Conache;A. Daletskii;Y. Kondratiev;Tanja Pasurek
我们研究在欧几里得空间 Rd 上混沌分布的无限粒子系统。粒子的特征在于其位置 x ∈ Rd 和内部参数（自旋） σ x ∈ R m ，并通过位置-位置和（位置相关）自旋-自旋对势相互作用。这种系统的平衡状态由标记配置空间上的吉布斯测度来描述。由于存在无界自旋，该模型不符合 Ruelle 的经典（超）稳定性理论。论文的主要成果是推导了相应吉布斯测度的存在性和唯一性的充分条件。
We study an infinite system of particles chaotically distributed over a Euclidean space Rd. Particles are characterized by their positions x∈Rd and an internal parameter (spin) σx∈Rm and interact via position-position and (position dependent) spin-spin pair potentials. Equilibrium states of such system are described by Gibbs measures on a marked configuration space. Due to the presence of unbounded spins, the model does not fit the classical (super-) stability theory of Ruelle. The main result of the paper is the derivation of sufficient conditions of the existence and uniqueness of the corresponding Gibbs measures.