Results 271 to 280 of about 85,269 (306)
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2016
This chapter explores the concept of a partition function introduced by the Boltzmann distribution, which is the central mathematical concept of the treatment of statistical thermodynamics. It focuses on how to interpret the partition function and how to calculate it in a number of simple cases.
Peter Atkins +2 more
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This chapter explores the concept of a partition function introduced by the Boltzmann distribution, which is the central mathematical concept of the treatment of statistical thermodynamics. It focuses on how to interpret the partition function and how to calculate it in a number of simple cases.
Peter Atkins +2 more
openaire +1 more source
2010
The main purpose of this chapter is to discuss the theory of Dahmen–Micchelli describing the difference equations that are satisfied by the quasipolynomials that describe the partition function \(\mathcal{T}_X\) on the big cells. These equations allow also us to develop possible recursive algorithms.
Corrado De Concini, Claudio Procesi
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The main purpose of this chapter is to discuss the theory of Dahmen–Micchelli describing the difference equations that are satisfied by the quasipolynomials that describe the partition function \(\mathcal{T}_X\) on the big cells. These equations allow also us to develop possible recursive algorithms.
Corrado De Concini, Claudio Procesi
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2009
Abstract This chapter introduces the partition function, which encodes all the information concerning the states of a system and their thermal occupation. Topics discussed include writing down the partition function, obtaining the functions of state, and combining partition functions.
Stephen J. Blundell +1 more
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Abstract This chapter introduces the partition function, which encodes all the information concerning the states of a system and their thermal occupation. Topics discussed include writing down the partition function, obtaining the functions of state, and combining partition functions.
Stephen J. Blundell +1 more
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On the Expansion of the Partition Function in a Series
The Annals of Mathematics, 19431. A geometric property of the Farey series, discovered by L. R. Ford (1) is used in this note for the construction of a new path of integration to replace the circle carrying the Farey dissection, first introduced by Hardy and Ramanujan in their classical paper (2).
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On the Asymptotics of the Binary Partition Function
Mathematical Notes, 2004For integers \(k\), \(d\geq 2\), let \(b(d,k)\) denote the number of partitions of \(k\) into powers of 2 wherein no part is repeated more than \(d-1\) times. The asymptotic behaviour of \(b(\infty,k)\) as \(k\to\infty\) was studied by numerous authors, see a paper by \textit{B. Reznick} [in: Analytic Number Theory (Allerton Park, IL, 1989), Prog. Math.
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Some inequalities for k-colored partition functions
Ramanujan Journal, 2018Shane Chern, Shishuo Fu, Dazhao Tang
exaly