Mathematical Physics
[Submitted on 14 Nov 2023
(v1)
, last revised 1 Dec 2023 (this version, v2)]
Title: Dissipative dynamics for infinite lattice systems
Title: 无限格子系统的耗散动力学
Abstract: We study dissipative dynamics constructed by means of non-commutative Dirichlet forms for various lattice systems with multiparticle interactions associated to CCR algebras. We give a number of explicit examples of such models. Using an idea of quasi-invariance of a state, we show how one can construct unitary representations of various groups. Moreover in models with locally conserved quantities associated to an infinite lattice we show that there is no spectral gap and the corresponding dissipative dynamics decay to equilibrium polynomially in time.
Submission history
From: Shreya Mehta [view email][v1] Tue, 14 Nov 2023 15:59:29 UTC (37 KB)
[v2] Fri, 1 Dec 2023 11:27:34 UTC (38 KB)
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